Chiral description of massive gravity

Journal of High Energy Physics

Volumn 2013, Issue 6, 2013, Pages

  Alexandrov, Sergei ^a   Krasnov, Kirill ^b   Speziale, Simone ^c  

^a UNIVERSITÉ MONTPELLIER 2   (France)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^c CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

Classical Theories of Gravity; Models of Quantum Gravity

Indexed keywords

EID: 84880389298     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP06(2013)068     Document Type: Article

References (55)

1. K. Hinterbichler, Theoretical aspects of massive gravity, Rev. Mod. Phys. 84 (2012) 671 [ arXiv:1105.3735 ] [ INSPIRE ].
2. D. Boulware and S. Deser, Can gravitation have a finite range?, Phys. Rev. D 6 (1972) 3368 [ INSPIRE ].
3. C. Deffayet and J.-W. Rombouts, Ghosts, strong coupling and accidental symmetries in massive gravity, Phys. Rev. D 72 (2005) 044003 [ gr-qc/0505134 ] [ INSPIRE ].
4. A. Vainshtein, To the problem of nonvanishing gravitation mass, Phys. Lett. B 39 (1972) 393 [ INSPIRE ].
5. H. van Dam and M. Veltman, Massive and massless Yang-Mills and gravitational fields, Nucl. Phys. B 22 (1970) 397 [ INSPIRE ].
6. N. Arkani-Hamed, H. Georgi and M.D. Schwartz, Effective field theory for massive gravitons and gravity in theory space, Annals Phys. 305 (2003) 96 [ hep-th/0210184 ] [ INSPIRE ].
7. C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli Action, Phys. Rev. D 82 (2010) 044020 [ arXiv:1007.0443 ] [ INSPIRE ].
8. C. de Rham, G. Gabadadze and A.J. Tolley, Resummation of massive gravity, Phys. Rev. Lett. 106 (2011) 231101 [ arXiv:1011.1232 ] [ INSPIRE ].
9. C. de Rham, G. Gabadadze and A.J. Tolley, Ghost free massive gravity in the Stückelberg language, Phys. Lett. B 711 (2012) 190 [ arXiv:1107.3820 ] [ INSPIRE ].
10. C. Burrage, N. Kaloper and A. Padilla, Strong coupling and bounds on the graviton mass in massive gravity, arXiv:1211.6001 [ INSPIRE ].
11. S. Hassan and R.A. Rosen, Resolving the ghost problem in non-linear massive gravity, Phys. Rev. Lett. 108 (2012) 041101 [ arXiv:1106.3344 ] [ INSPIRE ].
12. S. Hassan, R.A. Rosen and A. Schmidt-May, Ghost-free massive gravity with a general reference metric, JHEP 02 (2012) 026 [ arXiv:1109.3230 ] [ INSPIRE ].
13. S. Hassan and R.A. Rosen, Bimetric gravity from ghost-free massive gravity, JHEP 02 (2012) 126 [ arXiv:1109.3515 ] [ INSPIRE ].
14. S. Hassan and R.A. Rosen, Confirmation of the secondary constraint and absence of ghost in massive gravity and bimetric gravity, JHEP 04 (2012) 123 [ arXiv:1111.2070 ] [ INSPIRE ].
15. L. Alberte, A.H. Chamseddine and V. Mukhanov, Massive gravity: exorcising the ghost, JHEP 04 (2011) 004 [ arXiv:1011.0183 ] [ INSPIRE ].
16. A.H. Chamseddine and V. Mukhanov, Massive gravity simplified: a quadratic action, JHEP 08 (2011) 091 [ arXiv:1106.5868 ] [ INSPIRE ].
17. J. Kluson, Note about hamiltonian structure of non-linear massive gravity, JHEP 01 (2012) 013 [ arXiv:1109.3052 ] [ INSPIRE ].
18. D. Comelli, M. Crisostomi, F. Nesti and L. Pilo, Spherically symmetric solutions in ghost-free massive gravity, Phys. Rev. D 85 (2012) 024044 [ arXiv:1110.4967 ] [ INSPIRE ].
19. A. Golovnev, On the hamiltonian analysis of non-linear massive gravity, Phys. Lett. B 707 (2012) 404 [ arXiv:1112.2134 ] [ INSPIRE ].
20. J. Kluson, Comments about hamiltonian formulation of non-linear massive gravity with Stückelberg fields, JHEP 06 (2012) 170 [ arXiv:1112.5267 ] [ INSPIRE ].
21. I. Buchbinder, D. Pereira and I. Shapiro, One-loop divergences in massive gravity theory, Phys. Lett. B 712 (2012) 104 [ arXiv:1201.3145 ] [ INSPIRE ].
22. J. Kluson, Remark about hamiltonian formulation of non-linear massive gravity in Stückelberg formalism, Phys. Rev. D 86 (2012) 124005 [ arXiv:1202.5899 ] [ INSPIRE ].
23. J. Kluson, Non-linear massive gravity with additional primary constraint and absence of ghosts, Phys. Rev. D 86 (2012) 044024 [ arXiv:1204.2957 ] [ INSPIRE ].
24. S. Hassan, A. Schmidt-May and M. von Strauss, Metric formulation of ghost-free multivielbein theory, arXiv:1204.5202 [ INSPIRE ].
25. S. Hassan, A. Schmidt-May and M. von Strauss, On consistent theories of massive spin-2 fields coupled to gravity, JHEP 05 (2013) 086 [ arXiv:1208.1515 ] [ INSPIRE ].
26. J. Kluson, Note about hamiltonian formalism for general non-linear massive gravity action in Stückelberg formalism, arXiv:1209.3612 [ INSPIRE ].
27. K. Hinterbichler and R.A. Rosen, Interacting spin-2 fields, JHEP 07 (2012) 047 [ arXiv:1203.5783 ] [ INSPIRE ].
28. C. Deffayet, J. Mourad and G. Zahariade, Covariant constraints in ghost free massive gravity, JCAP 01 (2013) 032 [ arXiv:1207.6338 ] [ INSPIRE ].
29. C. Deffayet, J. Mourad and G. Zahariade, A note on 'symmetric' vielbeins in bimetric, massive, perturbative and non perturbative gravities, JHEP 03 (2013) 086 [ arXiv:1208.4493 ] [ INSPIRE ].
30. S. Hassan, A. Schmidt-May and M. von Strauss, Proof of consistency of nonlinear massive gravity in the Stückelberg formulation, Phys. Lett. B 715 (2012) 335 [ arXiv:1203.5283 ] [ INSPIRE ].
31. J.F. Plebanski, On the separation of Einsteinian substructures, J. Math. Phys. 18 (1977) 2511 [ INSPIRE ].
32. R. Capovilla, T. Jacobson, J. Dell and L. Mason, Selfdual two forms and gravity, Class. Quant. Grav. 8 (1991) 41 [ INSPIRE ].
33. K. Krasnov, Plebanski formulation of general relativity: a practical introduction, Gen. Rel. Grav. 43 (2011) 1 [ arXiv:0904.0423 ] [ INSPIRE ].
34. H. Urbantke, On integrability properties of SU(2) Yang-Mills fields. I. Infinitesimal part, J. Math. Phys. 25 (1984) 2321 [ INSPIRE ].
35. K. Krasnov, Plebanski gravity without the simplicity constraints, Class. Quant. Grav. 26 (2009) 055002 [ arXiv:0811.3147 ] [ INSPIRE ].
36. A. Ashtekar, Lectures on nonperturbative canonical gravity, Adv. Ser. Astrophys. Cosmol. 6 (1991) 1 [ INSPIRE ].
37. T. Thiemann, Modern canonical quantum general relativity, gr-qc/0110034 [ INSPIRE ].
38. S. Hojman, K. Kuchar and C. Teitelboim, Geometrodynamics regained, Annals Phys. 96 (1976) 88 [ INSPIRE ].
39. S.Y. Alexandrov and D. Vassilevich, Path integral for the Hilbert-Palatini and Ashtekar gravity, Phys. Rev. D 58 (1998) 124029 [ gr-qc/9806001 ] [ INSPIRE ].
40. T. Damour and I.I. Kogan, Effective lagrangians and universality classes of nonlinear bigravity, Phys. Rev. D 66 (2002) 104024 [ hep-th/0206042 ] [ INSPIRE ].
41. J. Kluson, Hamiltonian formalism of particular bimetric gravity model, arXiv:1211.6267 [ INSPIRE ].
42. S. Alexandrov, Degenerate Plebanski sector and spin foam quantization, Class. Quant. Grav. 29 (2012) 145018 [ arXiv:1202.5039 ] [ INSPIRE ].
43. K. Krasnov, On deformations of Ashtekar's constraint algebra, Phys. Rev. Lett. 100 (2008) 081102 [ arXiv:0711.0090 ] [ INSPIRE ]. (Pubitemid 351403349)
44. K. Krasnov, Effective metric lagrangians from an underlying theory with two propagating degrees of freedom, Phys. Rev. D 81 (2010) 084026 [ arXiv:0911.4903 ] [ INSPIRE ].
45. D. Comelli, M. Crisostomi, F. Nesti and L. Pilo, Degrees of freedom in massive gravity, Phys. Rev. D 86 (2012) 101502 [ arXiv:1204.1027 ] [ INSPIRE ].
46. S. Dubovsky, Phases of massive gravity, JHEP 10 (2004) 076 [ hep-th/0409124 ] [ INSPIRE ].
47. M.P. Reisenberger, Classical Euclidean general relativity from 'left-handed area = right-handed area', gr-qc/9804061 [ INSPIRE ].
48. R. De Pietri and L. Freidel, SO(4) Plebanski action and relativistic spin foam model, Class. Quant. Grav. 16 (1999) 2187 [ gr-qc/9804071 ] [ INSPIRE ].
49. A. Perez, Spin foam models for quantum gravity, Class. Quant. Grav. 20 (2003) R43 [ gr-qc/0301113 ] [ INSPIRE ].
50. S. Alexandrov, M. Geiller and K. Noui, Spin foams and canonical quantization, SIGMA 8 (2012) 055 [ arXiv:1112.1961 ] [ INSPIRE ].
51. E. Buffenoir, M. Henneaux, K. Noui and P. Roche, Hamiltonian analysis of Plebanski theory, Class. Quant. Grav. 21 (2004) 5203 [ gr-qc/0404041 ] [ INSPIRE ]. (Pubitemid 39603939)
52. S. Alexandrov, E. Buffenoir and P. Roche, Plebanski theory and covariant canonical formulation, Class. Quant. Grav. 24 (2007) 2809 [ gr-qc/0612071 ] [ INSPIRE ].
53. S. Alexandrov and K. Krasnov, Hamiltonian analysis of non-chiral Plebanski theory and its generalizations, Class. Quant. Grav. 26 (2009) 055005 [ arXiv:0809.4763 ] [ INSPIRE ].
54. S. Speziale, Bi-metric theory of gravity from the non-chiral Plebanski action, Phys. Rev. D 82 (2010) 064003 [ arXiv:1003.4701 ] [ INSPIRE ].
55. D. Beke, G. Palmisano and S. Speziale, Pauli-Fierz Mass Term in Modified Plebanski Gravity, JHEP 03 (2012) 069 [ arXiv:1112.4051 ] [ INSPIRE ].