Lp. Chimento et Ae. Cossarini, QUANTUM VECTOR-FIELDS IN THE BACKGROUND OF A (1-DIMENSIONAL BLACK-HOLE(1)), Classical and quantum gravity, 10(10), 1993, pp. 2001-2005
We apply the Stueckelberg formalism to describe massive and massless q
uantum vector fields propagating in the static metric of a (1 + 1) bla
ck hole. We find exact solutions of the field equations and compute th
e expectation value of the energy-momentum tensor. In the massless cas
e, the renormalized stress-energy tensor vanishes identically. In the
massive one, it agrees with the results obtained for scalar and Dirac
fields in the region near the event horizon, yielding a temperature of
M/2pi for the black hole.