We consider the thermodynamics of minimally coupled massive scalar field in 3+1 dimensional Reissner-Nordstrom de Sitter black hole background. The brick wall model of ’t Hooft is used. When Schwarzschild like coordinates are used it is found that two radial brick wall cut-off parameters are required to regularize the solution. Free energy of the scalar field is obtained through counting of sta...

We consider a 1 + 1 dimensional field theory which contains both a complex fermion field and a real scalar field. We then construct a unitary operator that, by a similarity transformation, gives a continuum of equivalent theories which smoothly interpolate between the massive Thirring model and the sineGordon model. This provides an implementation of smooth bosonization proposed by Damgaard et ...

We study massive scalar field perturbation on Kerr black holes in dynamical Chern-Simons gravity by performing a $(2+1)$-dimensional simulation. Object pictures of the wave dynamics time domain are obtained. The tachyonic instability is found to always occur for any nonzero hole spin and mass as long coupling constant exceeds critical value. presence term suppresses or even quenches instability...

An analysis of one-loop vacuum fluctuations associated with a scalar field confined in the interior of a infinite waveguide of rectangular cross section is presented. We first consider the massless scalar field defined in a four-dimensional Euclidean space. To identify the infinities of the vacuum fluctuations we use a combination of dimensional and zeta function analytic regularization procedu...

We consider 2+1 gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is analyzed. It is found that the asymptotic symmetry group remains the same as in pure gravity (i.e., the conformal group). The generators of the asymptotic symmetries, however, acquire a contribution fr...