Anomalous breaking of anisotropic scaling symmetry in the quantum Lifshitz model

Journal of High Energy Physics

Volumn 2012, Issue 7, 2012, Pages

  Baggio, Marco ^a   De Boer, Jan ^a   Holsheimer, Kristian ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Anomalies in field and string theories; Gauge gravity correspondence; Holography and condensed matter physics (AdS CMT)

Indexed keywords

EID: 84864477269     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2012)099     Document Type: Article

References (22)

1. D. Son, Toward an AdS/cold atoms correspondence: A Geometric realization of the Schrödinger symmetry, Phys. Rev. D 78 (2008) 046003 [arXiv:0804.3972].
2. K. Balasubramanian and J. McGreevy, Gravity duals for non-relativistic CFTs, Phys. Rev. Lett. 101 (2008) 061601 [arXiv:0804.4053].
3. S. Kachru, X. Liu and M. Mulligan, Gravity Duals of Lifshitz-like Fixed Points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725].
4. P. Koroteev and M. Libanov, On existence of self-tuning solutions in static braneworlds without singularities, JHEP 02 (2008) 104 [arXiv:0712.1136].
5. M. Guica, K. Skenderis, M. Taylor and B. C. van Rees, Holography for Schrödinger backgrounds, JHEP 02 (2011) 056 [arXiv:1008.1991].
6. S. F. Ross, Holography for asymptotically locally Lifshitz spacetimes, Class. Quant. Grav. 28 (2011) 215019 [arXiv:1107.4451].
7. M. Baggio, J. de Boer and K. Holsheimer, Hamilton-Jacobi renormalization for Lifshitz spacetime, JHEP 01 (2012) 058 [arXiv:1107.5562].
8. R. B. Mann and R. McNees, Holographic renormalization for asymptotically Lifshitz spacetimes, JHEP 10 (2011) 129 [arXiv:1107.5792].
9. M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP 07 (1998) 023 [hep-th/9806087].
10. I. Adam, I. V. Melnikov and S. Theisen, A non-relativistic Weyl anomaly, JHEP 09 (2009) 130 [arXiv:0907.2156].
11. P. R. S. Gomes and M. Gomes, Ward identities in Lifshitz-like field theories, Phys. Rev. D 85 (2012) 065010 [arXiv:1112.3887].
12. E. Ardonne, P. Fendley and E. Fradkin, Topological order and conformal quantum critical points, Ann. Phys. 310 (2004) 493 [cond-mat/0311466].
13. T. Griffin, P. Hořava and C. M. Melby-Thompson, Conformal Lifshitz gravity from holography, JHEP 05 (2012) 010 [arXiv:1112.5660].
14. G. Grinstein, Anisotropic sine-gordon model and infinite-order phase transitions in three dimensions, Phys. Rev. B 23 (1981) 4615.
15. P. Di Francesco, P. Mathieu and D. Senechal, Conformal field theory (1997).
16. D. V. Vassilevich, Heat kernel expansion: user's manual, Phys. Rept. 388 (2003) 279 [hep-th/0306138].
17. A. Ceresole, P. Pizzochero and P. van Nieuwenhuizen, The curved space trace, chiral and einstein anomalies from path integrals, using flat space plane waves, Phys. Rev. D 39 (1989) 1567.
18. J. de Boer, E. Verlinde and H. Verlinde, On the holographic renormalization group, JHEP 08 (2000) 003 [hep-th/9912012].
19. D. Martelli and W. Mück, Holographic renormalization and Ward identities with the Hamilton-Jacobi method, Nucl. Phys. B 654 (2003) 248 [hep-th/0205061].
20. S. F. Ross and O. Saremi, Holographic stress tensor for non-relativistic theories, JHEP 09 (2009) 009 [arXiv:0907.1846].
21. A. Adams, A. Maloney, A. Sinha and S. E. Vázquez, 1/N effects in non-relativistic gauge-gravity duality, JHEP 03 (2009) 097 [arXiv:0812.0166].
22. P. B. Gilkey, The spectral geometry of the higher order laplacian, Duke Math. J. 47 (1980) 511.