Algebraic renormalization of Yang-Mills theory with background field method

Nuclear Physics B

Volumn 462, Issue 2-3, 1996, Pages 524-550

  Grassi, P A ^a,b  

^a UNIVERSITY OF MILAN   (Italy)

^b INFN SEZIONE DI GENOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030579683     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00017-X     Document Type: Article

References (48)

1. [1] S.L. Adler, Phys. Rev. 117 (1969) 2426; J.S. Bell and R. Jackiw, Nuovo Cimento 60A (1969) 47; J. Schwinger, Phys. Rev. 82 (1951) 664; W.A. Bardeen, Phys. Rev. 184 (1969) 1848.
2. [1] S.L. Adler, Phys. Rev. 117 (1969) 2426; J.S. Bell and R. Jackiw, Nuovo Cimento 60A (1969) 47; J. Schwinger, Phys. Rev. 82 (1951) 664; W.A. Bardeen, Phys. Rev. 184 (1969) 1848.
3. [1] S.L. Adler, Phys. Rev. 117 (1969) 2426; J.S. Bell and R. Jackiw, Nuovo Cimento 60A (1969) 47; J. Schwinger, Phys. Rev. 82 (1951) 664; W.A. Bardeen, Phys. Rev. 184 (1969) 1848.
4. [1] S.L. Adler, Phys. Rev. 117 (1969) 2426; J.S. Bell and R. Jackiw, Nuovo Cimento 60A (1969) 47; J. Schwinger, Phys. Rev. 82 (1951) 664; W.A. Bardeen, Phys. Rev. 184 (1969) 1848.
5. [2] Y.M.P. Lam, Phys. Rev. D 6 (1972) 2145; D 7 (1973) 2943; J. Lowenstein, Commun. Math. Phys. 24 (1971) 1; P. Breitenlohner and D. Maison, Commun. Math. Phys. 52 (1977) 11, 39, 55.
6. [2] Y.M.P. Lam, Phys. Rev. D 6 (1972) 2145; D 7 (1973) 2943; J. Lowenstein, Commun. Math. Phys. 24 (1971) 1; P. Breitenlohner and D. Maison, Commun. Math. Phys. 52 (1977) 11, 39, 55.
7. [2] Y.M.P. Lam, Phys. Rev. D 6 (1972) 2145; D 7 (1973) 2943; J. Lowenstein, Commun. Math. Phys. 24 (1971) 1; P. Breitenlohner and D. Maison, Commun. Math. Phys. 52 (1977) 11, 39, 55.
8. [2] Y.M.P. Lam, Phys. Rev. D 6 (1972) 2145; D 7 (1973) 2943; J. Lowenstein, Commun. Math. Phys. 24 (1971) 1; P. Breitenlohner and D. Maison, Commun. Math. Phys. 52 (1977) 11, 39, 55.
9. [3] J. Iliopoulos, C. Itzykson and A. Martin, Rev. Mod. Phys. 47 (1965) 75.
10. [4] T.E. Clark and J.H. Lowenstein, Nucl. Phys. B 113 (1975) 109.
11. [5] J.H. Lowenstein, Commun. Math. Phys. 47 (1976) 53; Nucl. Phys. B 96 (1975) 189.
12. [5] J.H. Lowenstein, Commun. Math. Phys. 47 (1976) 53; Nucl. Phys. B 96 (1975) 189.
13. [6] W. Zimmermann, Commun. Math. Phys. 39 (1974) 81.
14. [7] C. Becchi, A. Rouet and R. Stora, Commun. Math. Phys. 42 (1975) 127; Ann. Phys. (NY) 98 (1976) 287; C. Becchi, Lectures on Renormalization of Gauge Theories in Relativity, group and topology II, Les Houches (1983), eds. B.S. DeWitt and R. Stora (North-Holland, Amsterdam, 1984).
15. [7] C. Becchi, A. Rouet and R. Stora, Commun. Math. Phys. 42 (1975) 127; Ann. Phys. (NY) 98 (1976) 287; C. Becchi, Lectures on Renormalization of Gauge Theories in Relativity, group and topology II, Les Houches (1983), eds. B.S. DeWitt and R. Stora (North-Holland, Amsterdam, 1984).
16. [7] C. Becchi, A. Rouet and R. Stora, Commun. Math. Phys. 42 (1975) 127; Ann. Phys. (NY) 98 (1976) 287; C. Becchi, Lectures on Renormalization of Gauge Theories in Relativity, group and topology II, Les Houches (1983), eds. B.S. DeWitt and R. Stora (North-Holland, Amsterdam, 1984).
17. [8] O. Piguet and S.P. Sorella, Algebraic Renormalization in Lectures Notes in Physics, Monographs, Vol. 28 (Springer, Berlin, 1995).
18. [9] T. Kugo and I. Ojima, Suppl. Prog. Theor, Phys. 66 (1979) 1.
19. [10] B.S. DeWitt, Phys. Rev. D 162 (1967) 1195; A Gauge Invariant Effective Action, in: Quantum Gravity II: A Second Oxford Symposium (1981), eds. C.J. Isham, R. Penrose and D.W. Sciama.
20. [10] B.S. DeWitt, Phys. Rev. D 162 (1967) 1195; A Gauge Invariant Effective Action, in: Quantum Gravity II: A Second Oxford Symposium (1981), eds. C.J. Isham, R. Penrose and D.W. Sciama.
21. [11] G. 't Hooft, Nucl. Phys. B 33 (1971) 436; J.B. Zuber and H. Kluberg-Stern, Phys. Rev. D 12 (1975) 467, 482.
22. [11] G. 't Hooft, Nucl. Phys. B 33 (1971) 436; J.B. Zuber and H. Kluberg-Stern, Phys. Rev. D 12 (1975) 467, 482.
23. [12] L.F. Abbott, Nucl. Phys. B 185 (1981) 189; Acta Phys. Pol. 12 (1982).
24. [12] L.F. Abbott, Nucl. Phys. B 185 (1981) 189; Acta Phys. Pol. 12 (1982).
25. [13] S. Ichimose and M. Omote, Nucl. Phys. B 203 (1982) 221; D.M. Capper and A. MacLean, Nucl. Phys. B 203 (1982) 413; D.G. Boulware, Phys. Rev. D 12 (1981) 389.
26. [13] S. Ichimose and M. Omote, Nucl. Phys. B 203 (1982) 221; D.M. Capper and A. MacLean, Nucl. Phys. B 203 (1982) 413; D.G. Boulware, Phys. Rev. D 12 (1981) 389.
27. [13] S. Ichimose and M. Omote, Nucl. Phys. B 203 (1982) 221; D.M. Capper and A. MacLean, Nucl. Phys. B 203 (1982) 413; D.G. Boulware, Phys. Rev. D 12 (1981) 389.
28. [14] M.T. Grisaru, L.F. Abbott, R.K. Schaefer, Nucl. Phys. B 229 (1983) 372; C.F. Hart, Phys. Rev. D 28 (1983) 1993.
29. [14] M.T. Grisaru, L.F. Abbott, R.K. Schaefer, Nucl. Phys. B 229 (1983) 372; C.F. Hart, Phys. Rev. D 28 (1983) 1993.
30. [15] C. Becchi, private communication.
31. [16] L.V. Avdeev, D.I. Kazakov and M.Yu. Kalmykov, JINR-E2-94-338, hep-th/9411041.
32. [17] S.J. Gates, M.T. Grisaru, M. Rocek and W. Siegel, Superspace, Frontiers in Physics (Benjamin-Cummings, Reading, MA, 1983); M.T. Grisaru, M. Rocek and W. Siegel, Nucl. Phys. B 159 (1979) 429; Z. Bern and D.C. Dumbar, Nucl. Phys. B 379 (1992) 562; Z. Bern and A.G. Morgan, Phys. Rev. D 49 (1994) 6155.
33. [17] S.J. Gates, M.T. Grisaru, M. Rocek and W. Siegel, Superspace, Frontiers in Physics (Benjamin-Cummings, Reading, MA, 1983); M.T. Grisaru, M. Rocek and W. Siegel, Nucl. Phys. B 159 (1979) 429; Z. Bern and D.C. Dumbar, Nucl. Phys. B 379 (1992) 562; Z. Bern and A.G. Morgan, Phys. Rev. D 49 (1994) 6155.
34. [17] S.J. Gates, M.T. Grisaru, M. Rocek and W. Siegel, Superspace, Frontiers in Physics (Benjamin-Cummings, Reading, MA, 1983); M.T. Grisaru, M. Rocek and W. Siegel, Nucl. Phys. B 159 (1979) 429; Z. Bern and D.C. Dumbar, Nucl. Phys. B 379 (1992) 562; Z. Bern and A.G. Morgan, Phys. Rev. D 49 (1994) 6155.
35. [17] S.J. Gates, M.T. Grisaru, M. Rocek and W. Siegel, Superspace, Frontiers in Physics (Benjamin-Cummings, Reading, MA, 1983); M.T. Grisaru, M. Rocek and W. Siegel, Nucl. Phys. B 159 (1979) 429; Z. Bern and D.C. Dumbar, Nucl. Phys. B 379 (1992) 562; Z. Bern and A.G. Morgan, Phys. Rev. D 49 (1994) 6155.
36. [18] A. Denner, G. Weiglein and S. Dittmaier, Phys. Lett. B 333 (1994) 420; Nucl. Phys. B (Proc. Suppl.) 37B (1994) 87; Nucl. Phys. B 440 (1995) 95.
37. [18] A. Denner, G. Weiglein and S. Dittmaier, Phys. Lett. B 333 (1994) 420; Nucl. Phys. B (Proc. Suppl.) 37B (1994) 87; Nucl. Phys. B 440 (1995) 95.
38. [18] A. Denner, G. Weiglein and S. Dittmaier, Phys. Lett. B 333 (1994) 420; Nucl. Phys. B (Proc. Suppl.) 37B (1994) 87; Nucl. Phys. B 440 (1995) 95.
39. [19] G.'t Hooft, Phys. Rev. D 14 (1976) 3432.
40. [20] O. Piguet and A. Rouet, Symmetries in Perturbative Quantum Field Theory, Phys. Rep. 76 (1981) 1; G. Bandelloni, J. Math. Phys. 28 (1987) 2775; J.A. Dixon, Cohomology and renormalization of gauge theories, Imperial College preprint-1977; O. Piguet and S.P. Sorella, Nucl. Phys. B 381 (1992) 373; S.P. Sorella, Commun. Math. Phys. 157 (1993) 231.
41. [20] O. Piguet and A. Rouet, Symmetries in Perturbative Quantum Field Theory, Phys. Rep. 76 (1981) 1; G. Bandelloni, J. Math. Phys. 28 (1987) 2775; J.A. Dixon, Cohomology and renormalization of gauge theories, Imperial College preprint-1977; O. Piguet and S.P. Sorella, Nucl. Phys. B 381 (1992) 373; S.P. Sorella, Commun. Math. Phys. 157 (1993) 231.
42. [20] O. Piguet and A. Rouet, Symmetries in Perturbative Quantum Field Theory, Phys. Rep. 76 (1981) 1; G. Bandelloni, J. Math. Phys. 28 (1987) 2775; J.A. Dixon, Cohomology and renormalization of gauge theories, Imperial College preprint-1977; O. Piguet and S.P. Sorella, Nucl. Phys. B 381 (1992) 373; S.P. Sorella, Commun. Math. Phys. 157 (1993) 231.
43. [20] O. Piguet and A. Rouet, Symmetries in Perturbative Quantum Field Theory, Phys. Rep. 76 (1981) 1; G. Bandelloni, J. Math. Phys. 28 (1987) 2775; J.A. Dixon, Cohomology and renormalization of gauge theories, Imperial College preprint-1977; O. Piguet and S.P. Sorella, Nucl. Phys. B 381 (1992) 373; S.P. Sorella, Commun. Math. Phys. 157 (1993) 231.
44. [20] O. Piguet and A. Rouet, Symmetries in Perturbative Quantum Field Theory, Phys. Rep. 76 (1981) 1; G. Bandelloni, J. Math. Phys. 28 (1987) 2775; J.A. Dixon, Cohomology and renormalization of gauge theories, Imperial College preprint-1977; O. Piguet and S.P. Sorella, Nucl. Phys. B 381 (1992) 373; S.P. Sorella, Commun. Math. Phys. 157 (1993) 231.
45. [21] J. Wess and B. Zumino, Phys. Lett. B 37 (1995) 71.
46. [22] G. Bandelloni, C. Becchi, A. Blasi and R. Collina, Ann. Inst. Henri Poincaré XXVIII, 3 (1978) 225.
47. [23] O. Piguet and K. Sibold, Nucl. Phys. B 253 (1985) 517.
48. [24] M. Gell-Man and F. Low, Phys. Rev. D 84 (1951) 350.