Feynman rules and S-matrix equivalence of the vilkovisky-DeWitt effective action |
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| Affiliation: | 1. LUPM, CNRS, Université Montpellier, Place Eugene Bataillon, F-34095 Montpellier, Cedex 5, France;2. Department of Physics, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan;3. Department of Science and Technology, Kyushu Sangyo University, Fukuoka 813-8503, Japan;1. Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;2. Departamento de Ciencias Físicas, Universidad Andres Bello, Sazié 2212, Piso 7, Santiago, Chile;1. Dipartimento di Fisica, Università degli Studi di Milano, I-20133 Milano, Italy;2. INFN Sezione di Milano, via Celoria 16, 20133, Milano, Italy;3. Institute of Nuclear Physics, PAN, 31-342 Kraków, Poland;4. GANIL, BP 55027, 14076 Caen CEDEX 5, France;5. INFN Sezione di Padova, I-35131 Padova, Italy;6. Institut Laue-Langevin, 6, rue Jules Horowitz, 38042 Grenoble CEDEX 9, France;7. IKP, University of Cologne, Zülpicher Str. 77, D-50937 Köln, Germany;8. LPSC, 53 Avenue des Martyrs, F-38026 Grenoble, France;9. ELI-NP, Magurele-Bucharest, Romania;10. Faculty of Physics, Warsaw Univ., ul. Hoza 69, PL-00-681 Warsaw, Poland;11. Grupo de Física Nuclear, Universidad Complutense, CEI Moncloa, 28040 Madrid, Spain;12. IPHC, CNRS/IN2P3 and University of Strasbourg, F-67037 Strasbourg, France;13. SCEM, University of Brighton, Lewes Road, Brighton BN2 4GJ, UK;14. Department of Physics, University of Surrey, Guildford, GU2 7XH, UK;15. CEA, Centre de Saclay, IRFU, F-91191 Gif-sur-Yvette, France;p. Institut für Kernphysik, TU Darmstadt, Schlossgartenstrasse 9, 64289 Darmstadt, Germany;q. Faculty of Physics, University of Sofia, 5 James Bourchier Blvd, 1164 Sofia, Bulgaria;r. Horia Hulubei National Institute of Physics and Nuclear Engineering – IFIN HH, Bucharest, 077125, Romania;s. INFN Sezione di Firenze, Firenze, Italy;t. Dipartimento di Fisica, Università degli Studi di Padova, I-35131 Padova, Italy;u. INFN, Laboratori Nazionali di Legnaro, I-35020 Padova, Italy;v. Acoustics and Ionizing Radiation Division, National Physical Laboratory, Teddington, Middlesex, TW11 0LW, UK;1. CEA, Centre de Saclay, IRFU/Service de Physique Nucléaire, F-91191 Gif-sur-Yvette, France;2. RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan;3. CEA/DAM/DIF, 91297 Arpajon, France;4. CNS, The University of Tokyo, RIKEN Campus, Wako, Saitama 351-0198, Japan;5. State Key Laboratory, Peking University, Beijing, PR China;6. RCNP Osaka University, Ibaraki, Osaka 567-0047, Japan;7. The Niewodniczanski Institute of Nuclear Physics, Krakow, Poland;8. Instituto de Estructura de la Materia, CSIC, E-28006 Madrid, Spain;9. Department of Physics, University of Tokyo, Bunkyo, Tokyo 113-0033, Japan;10. Department of Physics, Tokyo University of Science, Noda, Chiba 278-8510, Japan;11. Department of Physics, Rikkyo University, Toshima, Tokyo 172-8501, Japan;12. Institute for Nuclear Research, Debrecen, Hungary;13. Department of Physics and Astronomy, Ghent University, Proeftuinstraat 86, B-9000, Gent, Belgium;14. Grand Accélérateur National d''Ions Lourds (GANIL), CEA/DSM-CNRS/IN2P3, F-14076 Caen Cedex 5, France |
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| Abstract: | The reparametrization covariant background field method introduced by Honerkamp in the context of non-linear θ-models and the reparametrization invariant off-shell effective action due to Vilkovisky and DeWitt, which applies to gauge theories as well, are compared. For the latter the Feynman rules of the diagrammatic expansions beyond 1-loop order are made explicit, and the difference between the original definition of Vilkovisky and its modification by DeWitt is explained. Furthermore, within perturbation theory it is shown that the resulting S-matrix is equivalent to the usual one. |
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