Perturbative computation of the gluonic effective action via Polyakov's world-line path integral

Physical Review D

Volumn 66, Issue 4, 2002, Pages

  Avramis, S D ^a   Karanikas, A I ^a   Ktorides, C N ^a  

^a UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; PHYSICS; QUANTUM MECHANICS; THEORY;

EID: 0037104596     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.045017     Document Type: Article

References (47)

1. R.R. Metsaev and A.A. Tseytlin, Nucl. Phys. B298, 109 (1988).
2. J.A. Minahan, Nucl. Phys. B298, 36 (1988).
3. T.R. Taylor and G. Veneziano, Phys. Lett. B 212, 147 (1988).
4. V.S. Kaplunovsky, Nucl. Phys. B307, 145 (1988);
5. V.S. Kaplunovsky, Nucl. Phys. B382, 436(E) (1988).
6. Z. Bern and D.A. Kosower, Phys. Rev. D 38, 1888 (1988).
7. Z. Bern and D.A. Kosower, Nucl. Phys. B321, 605 (1989);
8. Z. Bern and D.A. Kosower, Nucl. Phys. B379, 451 (1992).
9. Z. Bern, L.J. Dixon, and D.A. Kosower, Phys. Rev. Lett. 70, 2677 (1993).
10. Z. Bern, Phys. Lett. B 296, 85 (1992).
11. Z. Bern and D.C. Dunbar, Nucl. Phys. B379, 562 (1992).
12. P. Di Vecchia, A. Lerda, L. Magnea, and R. Marotta, Phys. Lett. B 351, 445 (1995).
13. E.S. Fradkin and A.A. Tseytlin, Phys. Lett. 163B, 123 (1985).
14. P. Di Vecchia, L. Magnea, A. Lerda, R. Russo, and R. Marotta, Nucl. Phys. B469, 235 (1996).
15. M.J. Strassler, Nucl. Phys. B385, 145 (1992).
16. R. Casalbuoni, J. Gomis, and G. Longhi, Nuovo Cimento Soc. Ital. Fis., A 24, 249 (1974).
17. L. Brink, S. Deser, B. Zumino, P. Di Vecchia, and P. Howe, Phys. Lett. 64B, 435 (1976);
18. L. Brink, P. Di Vecchia, and P. Howe, Nucl. Phys. B118, 76 (1977).
19. A.P. Balachandran, P. Salomonson, B.S. Skagerstam and J.O. Winnberg, Phys. Rev. D 15, 2308 (1977).
20. M.G. Schmidt and C. Schubert, Phys. Lett. B 331, 69 (1994).
21. M.G. Schmidt and C. Schubert, Phys. Rev. D 53,2150 (1996).
22. M. Reuter, M.G. Schmidt, and C. Schubert, Ann. Phys. (N.Y.) 259, 313 (1997).
23. V. A. Fock, Izv. Akad. Nauk. USSR, OMEN, p. 557 (1937).
24. R.P. Feynman, Phys. Rev. 80, 440 (1950).
25. J.S. Schwinger, Phys. Rev. 82, 664 (1951).
26. E.S. Fradkin, Nucl. Phys. B76, 588 (1966).
27. M.B. Halpern, A. Jevicki, and P. Senjanovic, Phys. Rev. D 16, 2476 (1977);
28. M.B. Halpern and W. Siegel, Phys. Rev. D ibid. 16, 2486 (1977).
29. L. Alvarez-Gaume, Commun. Math. Phys. 90, 161 (1983).
30. A. M. Polyakov, in Fields, Strings And Critical Phenomena, edited by E. Brezin and J. Zinn-Justin (North-Holland, Amsterdam, 1990).
31. A.I. Karanikas and C.N. Ktorides, Phys. Lett. B 275, 403 (1992).
32. A.I. Karanikas and C.N. Ktorides, Phys. Rev. D 52, 5883 (1995).
33. G.C. Gellas, A.I. Karanikas, and C.N. Ktorides, Ann. Phys. (N.Y.) 255, 228 (1997);
34. Phys. Rev. D 55, 5027 (1997);
35. Phys. Rev. D 57, 3763 (1998);
36. A.I. Karanikas and C.N. Ktorides, Phys. Rev. D ibid. 59, 016003 (1999);
37. A.I. Karanikas, C.N. Ktorides, N.G. Stefanis, and S.M. Wong, Phys. Lett. B 455, 291 (1999).
38. A.I. Karanikas and C.N. Ktorides, J. High Energy Phys. 11, 033 (1999).
39. A.I. Karanikas and C.N. Ktorides, Phys. Lett. B 500, 75 (2001).
40. A.S. Kapoyannis, A.I. Karanikas, and C.N. Ktorides (in preparation).
41. A.M. Polyakov, Nucl. Phys. B164, 171 (1980).
42. A.A. Migdal, Phys. Rep. 102, 199 (1983).
43. The interaction term is displayed generically, independent as to whether the gauge theory is Abelian or non-Abelian.
44. For convenience we drop the characterization "world line" from hereon, even though we recognize the fact that we are using a term that has been established for the characterization of the same author's path integral pertaining to string quantization.
45. μ.
46. Further insight on this point will be provided at the end of this section.
47. To be exact, the solution of Eq. (27) includes an arbitrary constant which does not appear in Eq. (27) on the account that momentum conservation has been imposed.