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Planar and non-planar Wilson loops in QCD
Institution:1. Physics Department, Brookhaven National Laboratory, Upton, NY 11973 USA;2. Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA;1. Department of Cardiac Surgery, Institute for Clinical and Experimental Medicine, Prague, Czech Republic;2. Second Department of Surgery, Department of Cardiovascular Surgery, First Faculty of Medicine, Charles University in Prague, Prague, Czech Republic;3. Clinical Affairs, St. Jude Medical, Burlington, Massachusetts;4. National Research Cardiac Surgery Center, Astana, Kazakhstan;6. Department of Surgery, Division of Cardiac Surgery, Medical University of Vienna, Vienna, Austria;5. Department of Cardiothoracic and Vascular Surgery, German Heart Center, Berlin, Germany;7. Toronto General Hospital, Toronto, Canada;11. Thoracic and Cardiovascular Surgery Clinic, Bad Oeynhausen, Germany;12. Cardiothoracic Surgical Unit, The Alfred Hospital, Melbourne, Australia;8. Department of Cardiovascular Surgery Freiburg, University Heart Center Freiburg-Bad Krozingen, Freiburg, Germany;10. Department of Cardiac, Thoracic, Transplantation and Vascular Surgery, Hannover Medical School, Hannover, Germany;1. Solar energy department, Institute for energy technology, Instituttveien 18, 2027 Kjeller;2. Department of Electrical & Electronic Engineering, Stellenbosch Univeristy, Bosman Rd, Stellenbosch, 7599, South Africa;1. Department of Technical Physics, Poznan University of Technology, Piotrowo 3, 60-965 Poznań, Poland;2. Institute of Molecular Physics, Polish Academy of Sciences, M. Smoluchowskiego 17, 60-179 Poznań, Poland;3. Department of Chemistry, Faculty of Science, University of Malta, Msida, MSD 2080, Malta;4. Metamaterials Unit, Faculty of Science, University of Malta, Msida, MSD 2080, Malta;1. Division of Asthma Research, Cincinnati Children''s Hospital Medical Center, Cincinnati, Ohio;2. Division of Human Genetics, Cincinnati Children''s Hospital Medical Center, Cincinnati, Ohio;3. School of Medicine, Johns Hopkins University, Baltimore, Md;4. Division of Biostatistics and Epidemiology, Cincinnati Children''s Hospital Medical Center, Cincinnati, Ohio;5. Department of Environmental Health, University of Cincinnati, Cincinnati, Ohio
Abstract:A general QCD sum rule calculation of vacuum expectation values of Wilson loops is presented and particularized to several specific planar and non-planar contours. The string tension obtained is √σ = 0.50(5) GeV. Within the errors of the approach, this result is shape-independent. We comment on the possibility that corrections to the area and perimeter laws could be parametrized by a geodesic curvature term.
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