Building the full fermion-photon vertex of QED by imposing multiplicative renormalizability of the Schwinger-Dyson equations for the fermion and photon propagators

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 79, Issue 12, 2009, Pages

  Kizilersü, Ayşe ^a   Pennington, Michael R ^b  

^a UNIVERSITY OF ADELAIDE   (Australia)

^b DURHAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67649840873     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.79.125020     Document Type: Article

References (53)

1. J.S. Schwinger, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 37, 452 (1951). 10.1073/pnas.37.7.452
2. J.S. Schwinger, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 37, 455 (1951). 10.1073/pnas.37.7.455
3. F.J. Dyson, Phys. Rev. 75, 486 (1949). PHRVAO 0031-899X 10.1103/PhysRev.75.486
4. F.J. Dyson, Phys. Rev. 75, 1736 (1949). PHRVAO 0031-899X 10.1103/PhysRev.75.1736
5. H.S. Green, Phys. Rev. 95, 548 (1954). PHRVAO 0031-899X 10.1103/PhysRev.95.548
6. K.-i. Kondo and H. Nakatani, Nucl. Phys. NUPBBO 0550-3213 B351, 236 (1991). 10.1016/0550-3213(91)90089-G
7. P.I. Fomin, V.P. Gusynin, V.A. Miransky, and Y.A. Sitenko, Riv. Nuovo Cimento Soc. Ital. Fis. RNUCAC 0035-5917 6, No. 5, 1 (1983).
8. V.A. Miransky, Nuovo Cimento Soc. Ital. Fis. NIFAAM 1124-1861 90A, 149 (1985). 10.1007/BF02724229
9. V.A. Miransky, Phys. Lett. 165B, 401 (1985). PYLBAJ 0370-2693 10.1016/0370-2693(85)91254-7
10. V.A. Miransky, Sov. Phys. JETP 61, 905 (1985). SPHJAR 0038-5646
11. D.C. Curtis and M.R. Pennington, Phys. Rev. D PRVDAQ 0556-2821 48, 4933 (1993). 10.1103/PhysRevD.48.4933
12. F.T. Hawes and A.G. Williams, Phys. Rev. D PRVDAQ 0556-2821 51, 3081 (1995). 10.1103/PhysRevD.51.3081
13. R. Delbourgo, Nuovo Cimento Soc. Ital. Fis. NIFAAM 1124-1861 49A, 484 (1979). 10.1007/BF02815780
14. A. Salam, Phys. Rev. 130, 1287 (1963). PHRVAO 0031-899X 10.1103/PhysRev.130.1287
15. B. Zumino, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 1, 1 (1960). 10.1063/1.1703632
16. J.C. Collins, Renormalization: An Introduction to Renormalization, the Renormalization Group, and the Operator-product Expansion, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, 1984).
17. C. Itzykson and J.B. Zuber, Quantum Field Theory, International Series in Pure and Applied Physics (McGraw-Hill International Book Co., New York, 1980).
18. D.C. Curtis and M.R. Pennington, Phys. Rev. D PRVDAQ 0556-2821 42, 4165 (1990). 10.1103/PhysRevD.42.4165
19. A. Kizilersu, T. Sizer, and A.G. Williams, Phys. Rev. D PRVDAQ 0556-2821 65, 085020 (2002). 10.1103/PhysRevD.65.085020
20. A. Kizilersu, A.W. Schreiber, and A.G. Williams, Phys. Lett. B 499, 261 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)00022-3
21. D.C. Curtis and M.R. Pennington, Phys. Rev. D PRVDAQ 0556-2821 44, 536 (1991). 10.1103/PhysRevD.44.536
22. C.J. Burden and C.D. Roberts, Phys. Rev. D PRVDAQ 0556-2821 47, 5581 (1993). 10.1103/PhysRevD.47.5581
23. F.T. Hawes and A.G. Williams, Phys. Lett. B 268, 271 (1991). PYLBAJ 0370-2693 10.1016/0370-2693(91)90815-8
24. Z.-H. Dong, H.J. Munczek, and C.D. Roberts, Phys. Lett. B 333, 536 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)90180-5
25. B. Haeri, Jr., Phys. Rev. D PRVDAQ 0556-2821 43, 2701 (1991). 10.1103/PhysRevD.43.2701
26. B. Haeri, Jr. and M.B. Haeri, Phys. Rev. D PRVDAQ 0556-2821 43, 3732 (1991). 10.1103/PhysRevD.43.3732
27. C.S. Fischer, F.J. Llanes-Estrada, and R. Alkofer, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 141, 128 (2005). 10.1016/j.nuclphysbps.2004.12.020
28. D. Atkinson, P.W. Johnson, and P. Maris, Phys. Rev. D PRVDAQ 0556-2821 42, 602 (1990). 10.1103/PhysRevD.42.602
29. C.D. Roberts and A.G. Williams, Prog. Part. Nucl. Phys. 33, 477 (1994). PPNPDB 0146-6410 10.1016/0146-6410(94)90049-3
30. D. Atkinson, J.C.R. Bloch, V.P. Gusynin, M.R. Pennington, and M. Reenders, Phys. Lett. B 329, 117 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94) 90526-6
31. J.C.R. Bloch and M.R. Pennington, Mod. Phys. Lett. A 10, 1225 (1995). MPLAEQ 0217-7323 10.1142/S0217732395001344
32. F.T. Hawes, T. Sizer, and A.G. Williams, Phys. Rev. D PRVDAQ 0556-2821 55, 3866 (1997). 10.1103/PhysRevD.55.3866
33. F.T. Hawes, A.G. Williams, and C.D. Roberts, Phys. Rev. D PRVDAQ 0556-2821 54, 5361 (1996). 10.1103/PhysRevD.54.5361
34. F.T. Hawes, T. Sizer, and A.G. Williams, arXiv:hep-ph/9612360.
35. R. Alkofer and L. von Smekal, Phys. Rep. PRPLCM 0370-1573 353, 281 (2001). 10.1016/S0370-1573(01)00010-2
36. J.S. Ball and T.-W. Chiu, Phys. Rev. D PRVDAQ 0556-2821 22, 2542 (1980). 10.1103/PhysRevD.22.2542
37. A. Bashir and M.R. Pennington, Phys. Rev. D PRVDAQ 0556-2821 50, 7679 (1994). 10.1103/PhysRevD.50.7679
38. J. Ward, Phys. Rev. 78, 182 (1950). PHRVAO 0031-899X 10.1103/PhysRev.78. 182
39. H.S. Green, Proc. Phys. Soc. London Sect. A PPSAAM 0370-1298 66, 873 (1953). 10.1088/0370-1298/66/10/303
40. Y. Takahashi, Nuovo Cimento NUCIAD 0029-6341 6, 371 (1957). 10.1007/BF02832514
41. A. Kizilersu, M. Reenders, and M.R. Pennington, Phys. Rev. D PRVDAQ 0556-2821 52, 1242 (1995). 10.1103/PhysRevD.52.1242
42. J.D. Bjorken and S.D. Drell, Relativistic Quantum Mechanics, International Series in Pure and Applied Physics (McGraw-Hill, New York, 1964).
43. L.D. Landau and I. Khalatnikov, Sov. Phys. JETP 2, 69 (1956). SPHJAR 0038-5646
44. E.S. Fradkin, Sov. Phys. JETP 2, 361 (1956). SPHJAR 0038-5646
45. L.H. Ryder, Quantum Field Theory (Cambridge University Press, Cambridge, Cambridgeshire, New York, 1985).
46. N. Brown and M. Pennington, Phys. Rev. D PRVDAQ 0556-2821 38, 2266 (1988). 10.1103/PhysRevD.38.2266
47. N. Brown and M. Pennington, Phys. Rev. D PRVDAQ 0556-2821 39, 2723 (1989). 10.1103/PhysRevD.39.2723
48. A.W. Schreiber, T. Sizer, and A.G. Williams, Phys. Rev. D PRVDAQ 0556-2821 58, 125014 (1998). 10.1103/PhysRevD.58.125014
49. V.P. Gusynin, A.W. Schreiber, T. Sizer, and A.G. Williams, Phys. Rev. D PRVDAQ 0556-2821 60, 065007 (1999). 10.1103/PhysRevD.60.065007
50. A. Bashir, A. Kizilersu, and M.R. Pennington, Phys. Rev. D PRVDAQ 0556-2821 57, 1242 (1998). 10.1103/PhysRevD.57.1242
51. R. Williams, Ph.D. Thesis, Durham University, 2007.
52. A. Kizilersu, M. Pennington, T. Sizer, A.G. Williams, and R. Williams (unpublished).
53. A. Kizilersu and M. Pennington (unpublished).