Trace and chiral anomalies in string and ordinary field theory from Feynman diagrams for non-linear sigma models

Nuclear Physics B

Volumn 518, Issue 1-2, 1998, Pages 424-454

  Hatzinikitas, Agapitos ^a   Schalm, Koenraad ^a   Van Nieuwenhuizen, Peter ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

Anomalies; Non linear sigma models; String theory

Indexed keywords

EID: 0032481987     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00826-2     Document Type: Article

References (31)

1. [1] K. Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; 44 (1980) 1733; Phys. Rev. D 21 (1980) 2848; 23 (1981) 2262.
2. [1] K. Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; 44 (1980) 1733; Phys. Rev. D 21 (1980) 2848; 23 (1981) 2262.
3. [1] K. Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; 44 (1980) 1733; Phys. Rev. D 21 (1980) 2848; 23 (1981) 2262.
4. [1] K. Fujikawa, Phys. Rev. Lett. 42 (1979) 1195; 44 (1980) 1733; Phys. Rev. D 21 (1980) 2848; 23 (1981) 2262.
5. [2] A. Diaz, W. Troost, A. Van Proeyen and P. van Nieuwenhuizen, Int. J. Mod. Phys. A 4 (1989) 3959; M. Hatsuda, W. Troost, A. Van Proeyen and P. van Nieuwenhuizen, Nucl. Phys. B 335 (1990) 166; F. Bastianelli, A. Van Proeyen and P. van Nieuwenhuizen, Phys. Lett. B 253 (1991) 67.
6. [2] A. Diaz, W. Troost, A. Van Proeyen and P. van Nieuwenhuizen, Int. J. Mod. Phys. A 4 (1989) 3959; M. Hatsuda, W. Troost, A. Van Proeyen and P. van Nieuwenhuizen, Nucl. Phys. B 335 (1990) 166; F. Bastianelli, A. Van Proeyen and P. van Nieuwenhuizen, Phys. Lett. B 253 (1991) 67.
7. [2] A. Diaz, W. Troost, A. Van Proeyen and P. van Nieuwenhuizen, Int. J. Mod. Phys. A 4 (1989) 3959; M. Hatsuda, W. Troost, A. Van Proeyen and P. van Nieuwenhuizen, Nucl. Phys. B 335 (1990) 166; F. Bastianelli, A. Van Proeyen and P. van Nieuwenhuizen, Phys. Lett. B 253 (1991) 67.
8. [3] L. Alvarez-Gaumé and E. Witten, Nucl. Phys. B 234 (1984) 269.
9. [4] F. Bastianelli, Nucl. Phys. B 376 (1992) 113; F. Bastianelli and P. van Nieuwenhuizen, Nucl. Phys. B 389 (1993) 53.
10. [4] F. Bastianelli, Nucl. Phys. B 376 (1992) 113; F. Bastianelli and P. van Nieuwenhuizen, Nucl. Phys. B 389 (1993) 53.
11. [5] J. de Boer, B. Peelers, K. Skenderis, P. van Nieuwenhuizen, Nucl. Phys. B 446 (1995) 211; 459 (1996) 631.
12. [5] J. de Boer, B. Peelers, K. Skenderis, P. van Nieuwenhuizen, Nucl. Phys. B 446 (1995) 211; 459 (1996) 631.
13. [6] T.D. Lee and C.N. Yang, Phys. Rev. D 128 (1962) 885.
14. [7] A.N. Schellekens and N.P. Warner, Phys. Lett. B 177 (1986) 317; B 181 (1986) 339; Nucl. Phys. B 287 (1987) 317.
15. [7] A.N. Schellekens and N.P. Warner, Phys. Lett. B 177 (1986) 317; B 181 (1986) 339; Nucl. Phys. B 287 (1987) 317.
16. [7] A.N. Schellekens and N.P. Warner, Phys. Lett. B 177 (1986) 317; B 181 (1986) 339; Nucl. Phys. B 287 (1987) 317.
17. [8] K. Pilch, A.N. Schellekens and N.P. Warner, Nucl. Phys. B 287 (1987) 362.
18. [9] W. Lerche, B.E.W. Nilsson and A.N. Schellekens, Nucl. Phys. B 289 (1987) 609; W, Lerche, B.E.W. Nilsson, A.N. Schellekens and N.P.Warner, Nucl. Phys. B 299 (1988) 91.
19. [9] W. Lerche, B.E.W. Nilsson and A.N. Schellekens, Nucl. Phys. B 289 (1987) 609; W, Lerche, B.E.W. Nilsson, A.N. Schellekens and N.P.Warner, Nucl. Phys. B 299 (1988) 91.
20. [10] K. Li, Class. Quantum Grav. 5 (1987) 95.
21. [11] D. Gross and E. Mende, Nucl. Phys. B 291 (1987) 653.
22. [12] E. D'Hoker and D.H. Phong, Rev. Mod. Phys. 60 (1988) 917.
23. [13] M.J. Strassler, Nucl. Phys. B 385 (1992) 145.
24. [14] M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1993) 438; B 331 (1994) 69.
25. [14] M.G. Schmidt and C. Schubert, Phys. Lett. B 318 (1993) 438; B 331 (1994) 69.
26. [15] C. Schubert, Habilitationsschrift to be published in Fortschr. Phys.
27. [16] A. Waldron, Phys. Rev. D 53 (1996) 5692.
28. [17] O. Alvarez, T.P. Killingback, M. Mangano and P. Windey, Nucl. Phys. B (Proc. Suppl.) 1A (1987) 189.
29. [18] M. Green, J. Schwarz and E. Witten, Superstring theory, vols. 1 and 2 (Cambridge Univ. Press, Cambridge, 1987).
30. [19] B. Schoeneberg, Elliptic modular functions (Springer, Berlin, 1970).
31. [20] L. Alvarez-Gaumé, G. Moore and C. Vafa, Comm. Math. Phys. 106 (1986) 1.