Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-07-17
Phys.Rev.D76:105029,2007
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, 4 figures. Revised version to be published in Physical Review D
Scientific paper
10.1103/PhysRevD.76.105029
The most general covariant gauge fixing Lagrangian is considered for a spin-two gauge theory in the context of the Faddeev-Popov procedure. In general, five parameters characterize this gauge fixing. Certain limiting values for these parameters give rise to a spin-two propagator that is either traceless or transverse, but for no values of these parameters is this propagator simultaneously traceless and transverse. Having a traceless-transverse (TT) propagator ensures that only the physical degrees of freedom associated with the tensor field propagate, and hence it is analogous to the Landau gauge in electrodynamics. To obtain such a traceless-transverse propagator, a gauge fixing Lagrangian which is not quadratic must be employed; this sort of gauge fixing Lagrangian is not encountered in the usual Faddeev-Popov procedure. It is shown that when this non-quadratic gauge fixing Lagrangian is used, two Fermionic and one Bosonic ghost arise. As a simple application we discuss the energy-momentum tensor of the gravitational field at finite temperature.
Brandt Fernando T.
Frenkel Josif
McKeon Dennis G. C.
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