Generating functional for mesonic ChPT with virtual photons in a general covariant gauge

详细信息    查看全文

• 作者：Andria Agadjanov (1) (2)
  Dimitri Agadjanov (1) (2)
  Anzor Khelashvili (2) (3)
  Akaki Rusetsky (1)
  
• 刊名：The European Physical Journal A - Hadrons and Nuclei
• 出版年：2013
• 出版时间：September 2013
• 年：2013
• 卷：49
• 期：9
• 全文大小：398KB
• 参考文献：1. S. Weinberg, Physica A 96, 327 (1979) CrossRef
  2. J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984) CrossRef
  3. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985) CrossRef
  4. R. Urech, Nucl. Phys. B 433, 234 (1995) hep-ph/9405341 CrossRef
  5. H. Neufeld, H. Rupertsberger, Z. Phys. C 71, 131 (1996) hep-ph/9506448 CrossRef
  6. U.-G. Mei脽ner, G. M眉ller, S. Steininger, Phys. Lett. B 406, 154 (1997) 407 CrossRef
  7. M. Knecht, R. Urech, Nucl. Phys. B 519, 329 (1998) hep-ph/9709348 CrossRef
  8. M. Knecht, H. Neufeld, H. Rupertsberger, P. Talavera, Eur. Phys. J. C 12, 469 (2000) hep-ph/9909284 CrossRef
  9. V. Cirigliano, M. Knecht, H. Neufeld, H. Pichl, Eur. Phys. J. C 27, 255 (2003) hep-ph/0209226 CrossRef
  10. V. Cirigliano, M. Knecht, H. Neufeld, H. Rupertsberger, P. Talavera, Eur. Phys. J. C 23, 121 (2002) hep-ph/0110153 CrossRef
  11. U.-G. Mei脽ner, S. Steininger, Phys. Lett. B 419, 403 (1998) hep-ph/9709453 CrossRef
  12. G. M眉ller, U.-G. Mei脽ner, Nucl. Phys. B 556, 265 (1999) hep-ph/9903375 CrossRef
  13. N. Fettes, U.-G. Mei脽ner, Nucl. Phys. A 693, 693 (2001) hep-ph/0101030 CrossRef
  14. J. Gasser, V.E. Lyubovitskij, A. Rusetsky, Phys. Rep. 456, 167 (2008) arXiv:0711.3522 [hep-ph] CrossRef
  15. J. Gasser, A. Rusetsky, I. Scimemi, Eur. Phys. J. C 32, 97 (2003) hep-ph/0305260 CrossRef
  16. A. Rusetsky, PoS CD 09, 071 (2009) arXiv:0910.5151 [hep-ph]
  17. B. Moussallam, Nucl. Phys. B 504, 381 (1997) hep-ph/9701400 CrossRef
  18. B. Ananthanarayan, B. Moussallam, JHEP 06, 047 (2004) hep-ph/0405206 CrossRef
  19. J. Bijnens, Phys. Lett. B 306, 343 (1993) hep-ph/9302217 CrossRef
  20. J. Bijnens, J. Prades, Nucl. Phys. B 490, 239 (1997) hep-ph/9610360 CrossRef
  21. A. Torok, S. Basak, A. Bazavov, C. Bernard, C. DeTar, E. Freeland, W. Freeman, S. Gottlieb / et al., PoS LATTICE 2010, 127 (2010)
  22. S. Basak, A. Bazavov, C. Bernard, C. DeTar, E. Freeland, W. Freeman, J. Foley, S. Gottlieb / et al., PoS CD12 2013, 030 (2013)
  23. Budapest-Marseille-Wuppertal Collaboration (A. Portelli / et al.), PoS LATTICE 2010, 121 (2010) arXiv:1011.4189 [hep-lat]
  24. T. Blum, R. Zhou, T. Doi, M. Hayakawa, T. Izubuchi, S. Uno, N. Yamada, Phys. Rev. D 82, 094508 (2010) arXiv:1006.1311 [hep-lat] CrossRef
  25. PACS-CS Collaboration (N. Ukita), PoS LATTICE 2011, 144 (2011) arXiv:1111.6380 [hep-lat]
  26. Budapest-Marseille-Wuppertal Collaboration (Sz. Borsanyi), arXiv:1306.2287 [hep-lat]
  27. D.V. Vassilevich, Phys. Rep. 388, 279 (2003) hep-th/0306138 CrossRef
  28. H. Neufeld, J. Gasser, G. Ecker, Phys. Lett. B 438, 106 (1998) hep-ph/9806436 CrossRef
  29. H. Neufeld, Eur. Phys. J. C 7, 355 (1999) hep-ph/9807425
  30. I.G. Avramidi, J. Math. Phys. 36, 1557 (1995) gr-qc/9403035 CrossRef
  31. V.P. Gusynin, V.V. Kornyak, Nucl. Instrum. Methods A 389, 365 (1997) CrossRef
  32. V.P. Gusynin, Phys. Lett. B 225, 233 (1989) CrossRef
  33. V.P. Gusynin, E.V. Gorbar, Phys. Lett. B 270, 29 (1991) CrossRef
  34. V.P. Gusynin, E.V. Gorbar, V.V. Romankov, Nucl. Phys. B 362, 449 (1991) CrossRef
  35. A.O. Barvinsky, G.A. Vilkovisky, Phys. Rep. 119, 1 (1985) CrossRef
  36. P.I. Pronin, K.V. Stepanyantz, Nucl. Phys. B 485, 517 (1997) hep-th/9605206 CrossRef
  37. G.M. Shore, Ann. Phys. 137, 262 (1981) CrossRef
  38. B. Ananthanarayan, J. Phys. A 41, 415402 (2008) arXiv:0808.2781 [hep-th] CrossRef
  39. J. Schweizer, JHEP 02, 007 (2003) hep-ph/0212188 CrossRef
  40. A. Nehme, P. Talavera, Phys. Rev. D 65, 054023 (2002) arXiv:hep-ph/0107299 CrossRef
  41. C. Haefeli, M.A. Ivanov, M. Schmid, Eur. Phys. J. C 53, 549 (2008) arXiv:0710.5432 [hep-ph] CrossRef
  
• 作者单位：Andria Agadjanov (1) (2)
  Dimitri Agadjanov (1) (2)
  Anzor Khelashvili (2) (3)
  Akaki Rusetsky (1)
  
  1. Helmholtz-Institut f眉r Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universit盲t Bonn, Nussallee 14-16, D-53115, Bonn, Germany
  2. St. Andrew the First-Called Georgian University of the Patriarchate of Georgia, Chavchavadze Ave. 53a, 0162, Tbilisi, Georgia
  3. Institute of High Energy Physics, Ivane Javakhishvili Tbilisi State University, University St. 9, 109, Tbilisi, Georgia
  
• ISSN：1434-601X

文摘

The divergent part of the one-loop effective action in Chiral Perturbation Theory with virtual photons has been evaluated in an arbitrary covariant gauge. The differential operator that emerges in the functional determinant is of non-minimal type, for which the standard heat kernel methods are not directly applicable. Both the SU(2) and SU(3) cases have been worked out. A comparison with existing results in the literature is given.