TY - JOUR
T1 - Spontaneously generated tensor field gravity
AU - Chkareuli, J.L.
AU - Frogatt, C.D.
AU - Nielsen, Holger Frits Bech
PY - 2011/7/21
Y1 - 2011/7/21
N2 - An arbitrary local theory of a symmetric two-tensor field Hμν in Minkowski spacetime is considered, in which the equations of motion are required to be compatible with a nonlinear length-fixing constraint Hμν2=±M2 leading to spontaneous Lorentz invariance violation, SLIV (M is the proposed scale for SLIV). Allowing the parameters in the Lagrangian to be adjusted so as to be consistent with this constraint, the theory turns out to correspond to linearized general relativity in the weak field approximation, while some of the massless tensor Goldstone modes appearing through SLIV are naturally collected in the physical graviton. In essence the underlying diffeomorphism invariance emerges as a necessary condition for the tensor field Hμν not to be superfluously restricted in degrees of freedom, apart from the constraint due to which the true vacuum in the theory is chosen by SLIV. The emergent theory appears essentially nonlinear, when expressed in terms of the pure Goldstone tensor modes and contains a plethora of new Lorentz and CPT violating couplings. However, these couplings do not lead to physical Lorentz violation once this tensor field gravity is properly extended to conventional general relativity.
AB - An arbitrary local theory of a symmetric two-tensor field Hμν in Minkowski spacetime is considered, in which the equations of motion are required to be compatible with a nonlinear length-fixing constraint Hμν2=±M2 leading to spontaneous Lorentz invariance violation, SLIV (M is the proposed scale for SLIV). Allowing the parameters in the Lagrangian to be adjusted so as to be consistent with this constraint, the theory turns out to correspond to linearized general relativity in the weak field approximation, while some of the massless tensor Goldstone modes appearing through SLIV are naturally collected in the physical graviton. In essence the underlying diffeomorphism invariance emerges as a necessary condition for the tensor field Hμν not to be superfluously restricted in degrees of freedom, apart from the constraint due to which the true vacuum in the theory is chosen by SLIV. The emergent theory appears essentially nonlinear, when expressed in terms of the pure Goldstone tensor modes and contains a plethora of new Lorentz and CPT violating couplings. However, these couplings do not lead to physical Lorentz violation once this tensor field gravity is properly extended to conventional general relativity.
U2 - 10.1016/j.nuclphysb.2011.03.009
DO - 10.1016/j.nuclphysb.2011.03.009
M3 - Journal article
SN - 0550-3213
VL - 848
SP - 498
EP - 522
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -