On renormalization group flows in four dimensions

Journal of High Energy Physics

Volumn 2011, Issue 12, 2011, Pages

  Komargodski, Zohar ^a,b   Schwimmer, Adam ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Renormalization group; Spontaneous symmetry breaking

Indexed keywords

EID: 84855222729     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP12(2011)099     Document Type: Article

References (35)

1. A. Zamolodchikov, Irreversibility of the flux of the renormalization group in a 2D field theory, JETP Lett. 43(1986) 730
2. J. L. Cardy, Is there a c theorem in four-dimensions?, Phys. Lett. B 215(1988) 749
3. H. Osborn, Derivation of a four-dimensional c theorem, Phys. Lett. B 222(1989) 97
4. I. Jack and H. Osborn, Analogs for the c theorem for four-dimensional renormalizable field theories, Nucl. Phys. B 343(1990) 647
5. T. Appelquist, A. G. Cohen and M. Schmaltz, A new constraint on strongly coupled gauge theories, Phys. Rev. D 60(1999) 045003 [hep-th/9901109]
6. M. Duff, Twenty years of the Weyl anomaly, Class. Quant. Grav. 11(1994) 1387 [hep-th/9308075] (Pubitemid 24791825)
7. D. M. Hofman and J. Maldacena, Conformal collider physics: energy and charge correlations, JHEP 05(2008) 012 [arXiv:0803.1467]
8. M. Kulaxizi and A. Parnachev, Energy flux positivity and unitarity in CFTs, Phys. Rev. Lett. 106(2011) 011601 [arXiv:1007.0553]
9. N. Seiberg, Electric-magnetic duality in supersymmetric nonabelian gauge theories, Nucl. Phys. B 435(1995) 129 [hep-th/9411149]
10. D. Anselmi, D. Freedman, M. T. Grisaru and A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories, Nucl. Phys. B 526(1998) 543 [hep-th/9708042]
11. D. Anselmi, J. Erlich, D. Freedman and A. Johansen, Positivity constraints on anomalies in supersymmetric gauge theories, Phys. Rev. D 57(1998) 7570 [hep-th/9711035]
12. K. A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys. B 667(2003) 183 [hep-th/0304128]
13. R symmetries in N = 1 super Yang-Mills, JHEP 11(2003) 013 [hep-th/0308071]
14. K. A. Intriligator and B. Wecht, RG fixed points and flows in SQCD with adjoints, Nucl. Phys. B 677(2004) 223 [hep-th/0309201]
15. D. Freedman, S. Gubser, K. Pilch and N. Warner, Renormalization group flows from holography supersymmetry and a c theorem, Adv. Theor. Math. Phys. 3(1999) 363 [hep-th/9904017]
16. L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, The supergravity dual of N = 1 super Yang-Mills theory, Nucl. Phys. B 569(2000) 451 [hep-th/9909047]
17. R. C. Myers and A. Sinha, Holographic c-theorems in arbitrary dimensions, JHEP 01(2011) 125 [arXiv:1011.5819]
18. J. Wess and B. Zumino, Consequences of anomalous Ward identities, Phys. Lett. B 37(1971) 95
19. E. Witten, Global aspects of current algebra, Nucl. Phys. B 223(1983) 422
20. E. Fradkin and G. Vilkovisky, Conformal off mass shell extension and elimination of conformal anomalies in quantum gravity, Phys. Lett. B 73(1978) 209
21. R. Riegert, A nonlocal action for the trace anomaly, Phys. Lett. B 134(1984) 56
22. E. Fradkin and A. A. Tseytlin, Conformal anomaly in Weyl theory and anomaly free superconformal theories, Phys. Lett. B 134(1984) 187
23. A. Schwimmer and S. Theisen, Spontaneous breaking of conformal invariance and trace anomaly matching, Nucl. Phys. B 847(2011) 590 [arXiv:1011.0696]
24. T. Pham and T. N. Truong, Evaluation of the derivative quartic terms of the meson chiral Lagrangian from forward dispersion relation, Phys. Rev. D 31(1985) 3027
25. J. Distler, B. Grinstein, R. A. Porto and I. Z. Rothstein, Falsifying models of new physics via WW scattering, Phys. Rev. Lett. 98(2007) 041601 [hep-ph/0604255]
26. A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion, JHEP 10(2006) 014 [hep-th/0602178]
27. M. Dine, G. Festuccia and Z. Komargodski, A bound on the superpotential, JHEP 03(2010) 011 [arXiv:0910.2527]
28. A. Cappelli, D. Friedan and J. I. Latorre, C theorem and spectral representation, Nucl. Phys. B 352(1991) 616
29. Y. Frishman, A. Schwimmer, T. Banks and S. Yankielowicz, The axial anomaly and the bound state spectrum in confining theories, Nucl. Phys. B 177(1981) 157
30. Y. Nir, Infrared treatment of higher anomalies and their consequences, Phys. Rev. D 34(1986) 1164
31. I. Buchbinder, S. Kuzenko and A. A. Tseytlin, On low-energy effective actions in n = 2, N = 4 superconformal theories in four-dimensions, Phys. Rev. D 62(2000) 045001 [hep-th/9911221]
32. L. Bonora, P. Pasti and M. Bregola, Weyl cocycles, Class. Quant. Grav. 3(1986) 635
33. S. Deser and A. Schwimmer, Geometric classification of conformal anomalies in arbitrary dimensions, Phys. Lett. B 309(1993) 279 [hep-th/9302047]
34. D. L. Jafferis, I. R. Klebanov, S. S. Pufu and B. R. Safdi, Towards the F-theorem N = 2 field theories on the three-sphere, JHEP 06(2011) 102 [arXiv:1103.1181]
35. N. D. Birrell, P. C. W. Davies, Quantum fields in curved space, Cambridge University Press, Cambridge U. K. (1982).