On the quark-antiquark potential at short distances |
| |
| Institution: | 1. Institute for Supercomputing and Applied Mathematics, IBM, Heidelberg, Germany;2. Deutsches Elektronen-Synchrotron DESY, Hamburg, Germany;1. Dipartimento di Fisica e Geologia dell’Universitá degli Studi di Perugia and INFN Sezione di Perugia, 06123 Perugia, Italy;2. INFN, Laboratori Nazionali di Frascati, 00044 Frascati, Italy;3. CEA, IRFU, SPhN, Saclay, 91191 Gif-sur-Yvette Cedex, France;4. CNRS/IN2P3, Institut de Physique Nucléaire, UMR 8608, 91406 Orsay, France;1. Département de chirurgie orthopédique et traumatologique, CHU de Caen, avenue de la Côte-de-Nacre, 14033 Caen, France;2. Unité Inserm U1075 Comète, PFRS–université de Caen, 2, rue des Rochambelles, 14032 Caen cedex 5, France;3. Service de chirurgie orthopédique, hôpital Ambroise-Paré, Assistance publique–Hôpitaux de Paris, 9, avenue Charles-de-Gaulle, 92100 Boulogne Billancourt, France;4. Service de chirurgie orthopédique et traumatologique, hôpitaux universitaires de Strasbourg, 10, avenue Achille-Baumann, 67400 Illkirch, France;5. Institut de l’appareil locomoteur Nollet, 23, rue Brochant, 75017 Paris, France;6. Service de chirurgie orthopédique et traumatologique, centre hospitalier de Versailles André-Mignot, 177, rue de Versailles, 78150 Le Chesnay, France;7. Service de chirurgie orthopédique et traumatologique, CHU de Grenoble hôpital Sud, avenue de Kimberley, 38130 Échirolles, France;8. Clinique du sport, 36, boulevard Saint-Marcel, 75005 Paris, France;9. CCOS et clinique du sport de Bordeaux Mérignac, 2, avenue Georges-de-Negrevergne, 33700 Mérignac, France;10. Centre orthopédique Santy, 24, avenue Paul-Santy, 69008 Lyon, France;11. 56, rue Boissonade, 75014 Paris, France;1. Institute of Electrical Engineering, Slovak Academy of Sciences, Dúbravská cesta 9, SK-841 04 Bratislava, Slovak Republic;2. Joint Institute for Nuclear Research, Joliot-Curie 6, RUS-141980 Dubna, Moscow Region, Russian Federation;3. Slovak University of Technology in Bratislava, Faculty of Electrical Engineering and Information Technology, Ilkovičova 3, SK-812 19 Bratislava, Slovak Republic;4. Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, SK-845 11 Bratislava, Slovak Republic;1. Department of Physics, University of Adelaide, Adelaide, Australia;2. Physics Department, SUNY Albany, Albany NY, United States;3. Department of Physics, University of Alberta, Edmonton AB, Canada;41. Department of Physics, Ankara University, Ankara, Turkey;42. Istanbul Aydin University, Istanbul, Turkey;43. Division of Physics, TOBB University of Economics and Technology, Ankara, Turkey;5. LAPP, CNRS/IN2P3 and Université Savoie Mont Blanc, Annecy-le-Vieux, France;6. High Energy Physics Division, Argonne National Laboratory, Argonne IL, United States;7. Department of Physics, University of Arizona, Tucson AZ, United States;8. Department of Physics, The University of Texas at Arlington, Arlington TX, United States;9. Physics Department, National and Kapodistrian University of Athens, Athens, Greece;10. Physics Department, National Technical University of Athens, Zografou, Greece;11. Department of Physics, The University of Texas at Austin, Austin TX, United States;12. Institute of Physics, Azerbaijan Academy of Sciences, Baku, Azerbaijan;13. Institut de Física d''Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Barcelona, Spain;14. Institute of Physics, University of Belgrade, Belgrade, Serbia;15. Department for Physics and Technology, University of Bergen, Bergen, Norway;16. Physics Division, Lawrence Berkeley National Laboratory and University of California, Berkeley CA, United States;17. Department of Physics, Humboldt University, Berlin, Germany;18. Albert Einstein Center for Fundamental Physics and Laboratory for High Energy Physics, University of Bern, Bern, Switzerland;19. School of Physics and Astronomy, University of Birmingham, Birmingham, United Kingdom;201. Department of Physics, Bogazici University, Istanbul, Turkey;202. Department of Physics Engineering, Gaziantep University, Gaziantep, Turkey;204. Istanbul Bilgi University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey;205. Bahcesehir University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey;21. Centro de Investigaciones, Universidad Antonio Narino, Bogota, Colombia;221. INFN Sezione di Bologna, Italy;222. Dipartimento di Fisica e Astronomia, Università di Bologna, Bologna, Italy;23. Physikalisches Institut, University of Bonn, Bonn, Germany;24. Department of Physics, Boston University, Boston MA, United States;25. Department of Physics, Brandeis University, Waltham MA, United States;261. Universidade Federal do Rio De Janeiro COPPE/EE/IF, Rio de Janeiro, Brazil;262. Electrical Circuits Department, Federal University of Juiz de Fora (UFJF), Juiz de Fora, Brazil;263. Federal University of Sao Joao del Rei (UFSJ), Sao Joao del Rei, Brazil;264. Instituto de Fisica, Universidade de Sao Paulo, Sao Paulo, Brazil;27. Physics Department, Brookhaven National Laboratory, Upton NY, United States;281. Transilvania University of Brasov, Brasov, Romania;282. Horia Hulubei National Institute of Physics and Nuclear Engineering, Bucharest, Romania;283. Department of Physics, Alexandru Ioan Cuza University of Iasi, Iasi, Romania;284. National Institute for Research and Development of Isotopic and Molecular Technologies, Physics Department, Cluj Napoca, Romania;285. University Politehnica Bucharest, Bucharest, Romania;286. West University in Timisoara, Timisoara, Romania;29. Departamento de Física, Universidad de Buenos Aires, Buenos Aires, Argentina;30. Cavendish Laboratory, University of Cambridge, Cambridge, United Kingdom;31. Department of Physics, Carleton University, Ottawa ON, Canada;32. CERN, Geneva, Switzerland;33. Enrico Fermi Institute, University of Chicago, Chicago IL, United States;341. Departamento de Física, Pontificia Universidad Católica de Chile, Santiago, Chile;342. Departamento de Física, Universidad Técnica Federico Santa María, Valparaíso, Chile;351. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China;352. Department of Physics, Nanjing University, Jiangsu, China;353. Physics Department, Tsinghua University, Beijing 100084, China;354. University of Chinese Academy of Science (UCAS), Beijing, China;361. School of Physics, Shandong University, Shandong, China;362. School of Physics and Astronomy, Key Laboratory for Particle Physics, Astrophysics and Cosmology, Ministry of Education; Shanghai Key Laboratory for Particle Physics and Cosmology, Tsung-Dao Lee Institute, Shanghai Jiao Tong University, China;363. Department of Modern Physics and State Key Laboratory of Particle Detection and Electronics, University of Science and Technology of China, Anhui, China;37. Université Clermont Auvergne, CNRS/IN2P3, LPC, Clermont-Ferrand, France;38. Nevis Laboratory, Columbia University, Irvington NY, United States;39. Niels Bohr Institute, University of Copenhagen, Kobenhavn, Denmark;401. INFN Gruppo Collegato di Cosenza, Laboratori Nazionali di Frascati, Italy;402. Dipartimento di Fisica, Università della Calabria, Rende, Italy;411. AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Krakow, Poland;412. Marian Smoluchowski Institute of Physics, Jagiellonian University, Krakow, Poland;42. Institute of Nuclear Physics Polish Academy of Sciences, Krakow, Poland;43. Physics Department, Southern Methodist University, Dallas TX, United States;44. Physics Department, University of Texas at Dallas, Richardson TX, United States;45. DESY, Hamburg and Zeuthen, Germany;46. Lehrstuhl für Experimentelle Physik IV, Technische Universität Dortmund, Dortmund, Germany;47. Institut für Kern- und Teilchenphysik, Technische Universität Dresden, Dresden, Germany;48. Department of Physics, Duke University, Durham NC, United States;49. SUPA – School of Physics and Astronomy, University of Edinburgh, Edinburgh, United Kingdom;50. INFN e Laboratori Nazionali di Frascati, Frascati, Italy;51. Fakultät für Mathematik und Physik, Albert-Ludwigs-Universität, Freiburg, Germany;52. Departement de Physique Nucleaire et Corpusculaire, Université de Genève, Geneva, Switzerland;531. INFN Sezione di Genova, Italy;532. Dipartimento di Fisica, Università di Genova, Genova, Italy;541. E. Andronikashvili Institute of Physics, Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia;542. High Energy Physics Institute, Tbilisi State University, Tbilisi, Georgia;55. II Physikalisches Institut, Justus-Liebig-Universität Giessen, Giessen, Germany;56. SUPA – School of Physics and Astronomy, University of Glasgow, Glasgow, United Kingdom;57. Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble-Alpes, CNRS/IN2P3, Grenoble, France;58. II Physikalisches Institut, Georg-August-Universität, Göttingen, Germany;59. Laboratory for Particle Physics and Cosmology, Harvard University, Cambridge MA, United States;601. Kirchhoff-Institut für Physik, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany;602. Physikalisches Institut, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany;61. Faculty of Applied Information Science, Hiroshima Institute of Technology, Hiroshima, Japan;621. Department of Physics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong;622. Department of Physics, The University of Hong Kong, Hong Kong;623. Department of Physics and Institute for Advanced Study, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;63. Department of Physics, National Tsing Hua University, Hsinchu, Taiwan;64. Department of Physics, Indiana University, Bloomington IN, United States;65. Institut für Astro- und Teilchenphysik, Leopold-Franzens-Universität, Innsbruck, Austria;66. University of Iowa, Iowa City IA, United States;67. Department of Physics and Astronomy, Iowa State University, Ames IA, United States;68. Joint Institute for Nuclear Research, JINR Dubna, Dubna, Russia;69. KEK, High Energy Accelerator Research Organization, Tsukuba, Japan;70. Graduate School of Science, Kobe University, Kobe, Japan;71. Faculty of Science, Kyoto University, Kyoto, Japan;72. Kyoto University of Education, Kyoto, Japan;73. Research Center for Advanced Particle Physics and Department of Physics, Kyushu University, Fukuoka, Japan;74. Instituto de Física La Plata, Universidad Nacional de La Plata and CONICET, La Plata, Argentina;75. Physics Department, Lancaster University, Lancaster, United Kingdom;761. INFN Sezione di Lecce, Italy;762. Dipartimento di Matematica e Fisica, Università del Salento, Lecce, Italy;77. Oliver Lodge Laboratory, University of Liverpool, Liverpool, United Kingdom;78. Department of Experimental Particle Physics, Jožef Stefan Institute and Department of Physics, University of Ljubljana, Ljubljana, Slovenia;79. School of Physics and Astronomy, Queen Mary University of London, London, United Kingdom;80. Department of Physics, Royal Holloway University of London, Surrey, United Kingdom;81. Department of Physics and Astronomy, University College London, London, United Kingdom;82. Louisiana Tech University, Ruston LA, United States;83. Laboratoire de Physique Nucléaire et de Hautes Energies, UPMC and Université Paris-Diderot and CNRS/IN2P3, Paris, France;84. Fysiska institutionen, Lunds universitet, Lund, Sweden;85. Departamento de Fisica Teorica C-15, Universidad Autonoma de Madrid, Madrid, Spain;86. Institut für Physik, Universität Mainz, Mainz, Germany;87. School of Physics and Astronomy, University of Manchester, Manchester, United Kingdom;88. CPPM, Aix-Marseille Université and CNRS/IN2P3, Marseille, France;89. Department of Physics, University of Massachusetts, Amherst MA, United States;90. Department of Physics, McGill University, Montreal QC, Canada;91. School of Physics, University of Melbourne, Victoria, Australia;92. Department of Physics, The University of Michigan, Ann Arbor MI, United States;93. Department of Physics and Astronomy, Michigan State University, East Lansing MI, United States;941. INFN Sezione di Milano, Italy;942. Dipartimento di Fisica, Università di Milano, Milano, Italy;95. B.I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, Minsk, Belarus;96. Research Institute for Nuclear Problems of Byelorussian State University, Minsk, Belarus;97. Group of Particle Physics, University of Montreal, Montreal QC, Canada;98. P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia;99. Institute for Theoretical and Experimental Physics (ITEP), Moscow, Russia;100. National Research Nuclear University MEPhI, Moscow, Russia;101. D.V. Skobeltsyn Institute of Nuclear Physics, M.V. Lomonosov Moscow State University, Moscow, Russia;102. Fakultät für Physik, Ludwig-Maximilians-Universität München, München, Germany;103. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), München, Germany;104. Nagasaki Institute of Applied Science, Nagasaki, Japan;105. Graduate School of Science and Kobayashi–Maskawa Institute, Nagoya University, Nagoya, Japan;1061. INFN Sezione di Napoli, Italy;1062. Dipartimento di Fisica, Università di Napoli, Napoli, Italy;107. Department of Physics and Astronomy, University of New Mexico, Albuquerque NM, United States;108. Institute for Mathematics, Astrophysics and Particle Physics, Radboud University Nijmegen/Nikhef, Nijmegen, Netherlands;109. Nikhef National Institute for Subatomic Physics and University of Amsterdam, Amsterdam, Netherlands;110. Department of Physics, Northern Illinois University, DeKalb IL, United States;111. Budker Institute of Nuclear Physics, SB RAS, Novosibirsk, Russia;112. Department of Physics, New York University, New York NY, United States;113. Ohio State University, Columbus OH, United States;114. Faculty of Science, Okayama University, Okayama, Japan;115. Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman OK, United States;116. Department of Physics, Oklahoma State University, Stillwater OK, United States;117. Palacký University, RCPTM, Olomouc, Czech Republic;118. Center for High Energy Physics, University of Oregon, Eugene OR, United States;119. LAL, Univ. Paris-Sud, CNRS/IN2P3, Université Paris-Saclay, Orsay, France;120. Graduate School of Science, Osaka University, Osaka, Japan;121. Department of Physics, University of Oslo, Oslo, Norway;122. Department of Physics, Oxford University, Oxford, United Kingdom;1231. INFN Sezione di Pavia, Italy;1232. Dipartimento di Fisica, Università di Pavia, Pavia, Italy;124. Department of Physics, University of Pennsylvania, Philadelphia PA, United States;125. National Research Centre “Kurchatov Institute” B.P. Konstantinov Petersburg Nuclear Physics Institute, St. Petersburg, Russia;1261. INFN Sezione di Pisa, Italy;1262. Dipartimento di Fisica E. Fermi, Università di Pisa, Pisa, Italy;127. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh PA, United States;1281. Laboratório de Instrumentação e Física Experimental de Partículas - LIP, Lisboa, Portugal;1282. Faculdade de Ciências, Universidade de Lisboa, Lisboa, Portugal;1283. Department of Physics, University of Coimbra, Coimbra, Portugal;1284. Centro de Física Nuclear da Universidade de Lisboa, Lisboa, Portugal;1285. Departamento de Fisica, Universidade do Minho, Braga, Portugal;1286. Departamento de Fisica Teorica y del Cosmos, Universidad de Granada, Granada, Portugal;1287. Dep Fisica and CEFITEC of Faculdade de Ciencias e Tecnologia, Universidade Nova de Lisboa, Caparica, Portugal;129. Institute of Physics, Academy of Sciences of the Czech Republic, Praha, Czech Republic;130. Czech Technical University in Prague, Praha, Czech Republic;131. Charles University, Faculty of Mathematics and Physics, Prague, Czech Republic;132. State Research Center Institute for High Energy Physics (Protvino), NRC KI, Russia;133. Particle Physics Department, Rutherford Appleton Laboratory, Didcot, United Kingdom;1341. INFN Sezione di Roma, Italy;1342. Dipartimento di Fisica, Sapienza Università di Roma, Roma, Italy;1351. INFN Sezione di Roma Tor Vergata, Italy;1352. Dipartimento di Fisica, Università di Roma Tor Vergata, Roma, Italy;1361. INFN Sezione di Roma Tre, Italy;1362. Dipartimento di Matematica e Fisica, Università Roma Tre, Roma, Italy;1371. Faculté des Sciences Ain Chock, Réseau Universitaire de Physique des Hautes Energies - Université Hassan II, Casablanca, Morocco;1372. Centre National de l''Energie des Sciences Techniques Nucleaires, Rabat, Morocco;1373. Faculté des Sciences Semlalia, Université Cadi Ayyad, LPHEA-Marrakech, Morocco;1374. Faculté des Sciences, Université Mohamed Premier and LPTPM, Oujda, Morocco;1375. Faculté des sciences, Université Mohammed V, Rabat, Morocco;138. DSM/IRFU (Institut de Recherches sur les Lois Fondamentales de l''Univers), CEA Saclay (Commissariat à l''Energie Atomique et aux Energies Alternatives), Gif-sur-Yvette, France;139. Santa Cruz Institute for Particle Physics, University of California Santa Cruz, Santa Cruz CA, United States;140. Department of Physics, University of Washington, Seattle WA, United States;141. Department of Physics and Astronomy, University of Sheffield, Sheffield, United Kingdom;142. Department of Physics, Shinshu University, Nagano, Japan;143. Department Physik, Universität Siegen, Siegen, Germany;144. Department of Physics, Simon Fraser University, Burnaby BC, Canada;145. SLAC National Accelerator Laboratory, Stanford CA, United States;1461. Faculty of Mathematics, Physics & Informatics, Comenius University, Bratislava, Slovak Republic;1462. Department of Subnuclear Physics, Institute of Experimental Physics of the Slovak Academy of Sciences, Kosice, Slovak Republic;1471. Department of Physics, University of Cape Town, Cape Town, South Africa;1472. Department of Physics, University of Johannesburg, Johannesburg, South Africa;1473. School of Physics, University of the Witwatersrand, Johannesburg, South Africa;1481. Department of Physics, Stockholm University, Sweden;1482. The Oskar Klein Centre, Stockholm, Sweden;149. Physics Department, Royal Institute of Technology, Stockholm, Sweden;150. Departments of Physics & Astronomy and Chemistry, Stony Brook University, Stony Brook NY, United States;151. Department of Physics and Astronomy, University of Sussex, Brighton, United Kingdom;152. School of Physics, University of Sydney, Sydney, Australia;153. Institute of Physics, Academia Sinica, Taipei, Taiwan;154. Department of Physics, Technion: Israel Institute of Technology, Haifa, Israel;155. Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel;156. Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece;157. International Center for Elementary Particle Physics and Department of Physics, The University of Tokyo, Tokyo, Japan;158. Graduate School of Science and Technology, Tokyo Metropolitan University, Tokyo, Japan;159. Department of Physics, Tokyo Institute of Technology, Tokyo, Japan;160. Tomsk State University, Tomsk, Russia;161. Department of Physics, University of Toronto, Toronto ON, Canada;1621. INFN-TIFPA, Italy;1622. University of Trento, Trento, Italy;1631. TRIUMF, Vancouver BC, Canada;1632. Department of Physics and Astronomy, York University, Toronto ON, Canada;164. Faculty of Pure and Applied Sciences, and Center for Integrated Research in Fundamental Science and Engineering, University of Tsukuba, Tsukuba, Japan;165. Department of Physics and Astronomy, Tufts University, Medford MA, United States;166. Department of Physics and Astronomy, University of California Irvine, Irvine CA, United States;1671. INFN Gruppo Collegato di Udine, Sezione di Trieste, Udine, Italy;1672. ICTP, Trieste, Italy;1673. Dipartimento di Chimica, Fisica e Ambiente, Università di Udine, Udine, Italy;168. Department of Physics and Astronomy, University of Uppsala, Uppsala, Sweden;169. Department of Physics, University of Illinois, Urbana IL, United States;170. Instituto de Fisica Corpuscular (IFIC), Centro Mixto Universidad de Valencia – CSIC, Spain;171. Department of Physics, University of British Columbia, Vancouver BC, Canada;172. Department of Physics and Astronomy, University of Victoria, Victoria BC, Canada;173. Department of Physics, University of Warwick, Coventry, United Kingdom;174. Waseda University, Tokyo, Japan;175. Department of Particle Physics, The Weizmann Institute of Science, Rehovot, Israel;176. Department of Physics, University of Wisconsin, Madison WI, United States;177. Fakultät für Mathematik und Naturwissenschaften, Fachgruppe Physik, Bergische Universität Wuppertal, Wuppertal, Germany;178. Fakultät für Physik und Astronomie, Julius-Maximilians-Universität, Würzburg, Germany;179. Department of Physics, Yale University, New Haven CT, United States;180. Yerevan Physics Institute, Yerevan, Armenia;181. Centre de Calcul de l''Institut National de Physique Nucléaire et de Physique des Particules (IN2P3), Villeurbanne, France;182. Academia Sinica Grid Computing, Institute of Physics, Academia Sinica, Taipei, Taiwan;1. Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;2. Department of Physics and Astronomy, Iowa State University, Ames, IA, 50011, USA |
| |
| Abstract: | We investigate the static quark-antiquark potential up to distances of 8 lattice units for pure SU(2) gauge theory on lattices with anisotropic couplings. The action is the Wilson action with a coupling for time-like plaquettes which differs from those for space-like ones. Numerical simulations are performed in a large range of β The potential is obtained by fitting “cooled” Wilson loops with up to four exponential terms. An interpolation of the potentials by a sum of a perturbative term, a linear term and by lattice artifacts shows poor scaling in comparison with he isotropic case. If the coupling in the time-like region is reduced, the linear term is much smaller than in the isotropic case, and vice versa. Consequences for the bag picture for hadrons are discussed. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
