Two-loop Euler-Heisenberg effective actions from charged open strings

International Journal of Modern Physics A

Volumn 21, Issue 3, 2006, Pages 533-557

  Magnea, Lorenzo ^a   Russo, Rodolfo ^b,c   Sciuto, Stefano ^a  

^a UNIVERSITY OF TURIN   (Italy)

^b CERN   (Switzerland)

^c QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Bosonic strings; Gauge theories

Indexed keywords

EID: 33644616280     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X06025110     Document Type: Article

References (60)

1. W. Heisenberg and H. Euler, Z. Phys. 98, 714 (1936).
2. J. S. Schwinger, Phys. Rev. 82, 664 (1951).
3. G. V. Dunne, Heisenberg-Euler effective Lagrangians: Basics and extensions, hep-th/0406216.
4. C. Bachas and M. Porrati, Phys. Lett. B 296, 77 (1992).
5. C. Bachas, Phys. Lett. B 374, 37 (1996).
6. A. A. Tseytlin, Nucl. Phys. B 524, 41 (1998).
7. R. Russo and S. Sciuto, Nucl. Phys. B 669, 207 (2003).
8. R. Russo and S. Sciuto, Fortsch. Phys. 52, 678 (2004).
9. E. Verlinde and H. Verlinde, Nucl. Phys. B 288, 357 (1987).
10. L. Alvarez-Gaume, J. B. Bost, G. W. Moore, P. Nelson and C. Vafa, Commun. Math. Phys. 112, 503 (1987).
11. K. Aoki, E. D'Hoker and D. H. Phong, Nucl. Phys. B 688, 3 (2004).
12. I. Antoniadis and T. R. Taylor, Nucl. Phys. B 695, 103 (2004).
13. J. Scherk, Nucl. Phys. B 31, 222 (1971).
14. R. R. Metsaev and A. A. Tseytlin, Nucl. Phys. B 298, 109 (1988).
15. M. L. Mangano, S. J. Parke and Z. Xu, Nucl. Phys. B 298, 653 (1988).
16. Z. Bern and D. A. Kosower, Nucl. Phys. B 379, 451 (1992).
17. Z. Bern, L. J. Dixon and D. A. Kosower, Phys. Rev. Lett. 70, 2677 (1993).
18. Z. Bern, L. J. Dixon and D. A. Kosower, Ann. Rev. Nucl. Part. Sci. 46, 109 (1996).
19. P. Di Vecchia, L. Magnea, A. Lerda, R. Russo and R. Marotta, Nucl. Phys. B 469, 235 (1996).
20. A. Frizzo, L. Magnea and R. Russo, Nucl. Phys. B 604, 92 (2001).
21. Z. Bern, D. C. Dunbar and T. Shimada, Phys. Lett. B 312, 277 (1993).
22. D. C. Dunbar and P. S. Norridge, Nucl. Phys. B 433, 181 (1995).
23. L. Magnea and R. Russo, Two-loop gluon diagrams from string theory, hep-th/9706396.
24. B. Kors and M. G. Schmidt, Two-loop Feynman diagrams in Yang-Mills theory from bosonic string amplitudes, hep-th/0003171.
25. P. Di Vecchia, L. Magnea, A. Lerda, R. Marotta and R. Russo, Phys. Lett. B 388, 65 (1996).
26. A. Frizzo, L. Magnea and R. Russo, Nucl. Phys. B 579, 379 (2000).
27. R. Marotta and F. Pezzella, Phys. Rev. D 61, 106006 (2000).
28. A. A. Belavin, V. Knizhnik, A. Morozov and A. Perelomov, JETP Lett. 43, 411 (1986).
29. G. W. Moore, Phys. Lett. B 176, 369 (1986).
30. P. Di Vecchia, M. Frau, A. Lerda and S. Sciuto, Phys. Lett. B 199, 49 (1987).
31. S. K. Blau, M. Clements, S. Della Pietra, S. Carlip and V. Della Pietra, Nucl. Phys. B 301, 285 (1988).
32. M. Bianchi and A. Sagnotti, Phys. Lett. B 211, 407 (1988).
33. J. L. Petersen, K. O. Roland and J. R. Sidenius, Phys. Lett. B 205, 262 (1988).
34. K. Roland, Nucl. Phys. B 313, 432 (1989).
35. E. D'Hoker and D. H. Phong, Rev. Mod. Phys. 60, 917 (1988).
36. E. D'Hoker and D. H. Phong, Nucl. Phys. B 639, 129 (2002).
37. P. Di Vecchia and A. Liccardo, NATO Adv. Study Inst. Ser. C. Math. Phys. Sci. 556, 1 (2000).
38. P. Di Vecchia and A. Liccardo, D-branes in string theory, II, hep-th/9912275.
39. A. A. Tseytlin, Phys. Lett. B 176, 92 (1986).
40. A. A. Tseytlin, Nucl. Phys. B 276, 391 (1986)
41. [Erratum, A. A. Tseytlin, Nucl. Phys. B ibid. 291, 876 (1987)].
42. M. Frau, I. Pesando, S. Sciuto, A. Lerda and R. Russo, Phys. Lett. B 400, 52 (1997).
43. C.-S. Chu, R. Russo and S. Sciuto, Fortsch. Phys. 50, 871 (2002).
44. F. Pezzella, Phys. Lett. B 220, 544 (1989).
45. A. Losev, JETP Lett. 49, 424 (1989).
46. P. Di Vecchia, The sewing technique and correlation functions on arbitrary Riemann surfaces, NORDITA-89/30-P.
47. V. Fock, Phys. Z. Sowjetunion 12, 404 (1937).
48. V. Weisskopf, The electrodynamics of the vacuum based on the quantum theory of the electron, in Early Quantum Electrodynamics, ed. A. Miller (Cambridge University Press, 1994), pp. 206-226.
49. M. Bianchi and A. Sagnotti, Phys. Lett. B 231, 389 (1989).
50. C. Schubert, Phys. Rep. 355, 73 (2001).
51. M. Reuter, M. G. Schmidt and C. Schubert, Ann. Phys. 259, 313 (1997).
52. B. Kors and M. G. Schmidt, Eur. Phys. J. C 6, 175 (1999).
53. H.-T. Sato, M. G. Schmidt and C. Zahlten, Nucl. Phys. B 579, 492 (2000).
54. P. Di Vecchia, A. Liccardo, R. Marotta and F. Pezzella, J. High Energy Phys. 06, 007 (2003).
55. K. Roland, Phys. Lett. B 312, 441 (1993).
56. P. Di Vecchia, F. Pezzella, M. Frau, K. Hornfeck, A. Lerda and S. Sciuto, Nucl. Phys. B 333, 635 (1990).
57. A. Erdélyi et al., Higher Transcendental Functions (McGraw-Hill, New York, 1953).
58. V. I. Ritus, Sov. Phys. JETP 42, 774 (1975).
59. V. I. Ritus, Zh. Eksp. Teor. Fiz. 73, 807 (1977).
60. V. I. Ritus, Effective lagrange function of intense electromagnetic field in QED, hep-th/9812124.