scholarly journals Vacuum polarization for a massless scalar field in the global monopole spacetime at finite temperature

2001 ◽  
Vol 18 (9) ◽  
pp. 1637-1649 ◽  
Author(s):  
F C Carvalho ◽  
E R Bezerra de Mello
Keyword(s):  
Scalar Field ◽  
Finite Temperature ◽  
Vacuum Polarization ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Global Monopole

scholarly journals Vacuum Polarization in a Zero-Width Potential: Self-Adjoint Extension

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 127
Author(s):  
Yuri V. Grats ◽  
Pavel Spirin
Keyword(s):  
Scalar Field ◽  
Vacuum Polarization ◽  
Dimensional Regularization ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Field Approximation ◽  
Dimensional Euclidean Space ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Adjoint Extension

The effects of vacuum polarization associated with a massless scalar field near pointlike source with a zero-range potential in three spatial dimensions are analyzed. The “physical” approach consists in the usage of direct delta-potential as a model of pointlike interaction. We use the Perturbation theory in the Fourier space with dimensional regularization of the momentum integrals. In the weak-field approximation, we compute the effects of interest. The “mathematical” approach implies the self-adjoint extension technique. In the Quantum-Field-Theory framework we consider the massless scalar field in a 3-dimensional Euclidean space with an extracted point. With appropriate boundary conditions it is considered an adequate mathematical model for the description of a pointlike source. We compute the renormalized vacuum expectation value ⟨ϕ2(x)⟩ren of the field square and the renormalized vacuum averaged of the scalar-field’s energy-momentum tensor ⟨Tμν(x)⟩ren. For the physical interpretation of the extension parameter we compare these results with those of perturbative computations. In addition, we present some general formulae for vacuum polarization effects at large distances in the presence of an abstract weak potential with finite-sized compact support.

scholarly journals LATE-TIME TAIL OF A COUPLED SCALAR FIELD IN THE BACKGROUND OF A BLACK HOLE WITH A GLOBAL MONOPOLE

2008 ◽  
Vol 23 (05) ◽  
pp. 359-369 ◽  
Author(s):  
SONGBAI CHEN ◽  
JILIANG JING
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Scalar Fields ◽  
Massless Scalar ◽  
Late Time ◽  
Massless Scalar Field ◽  
Global Monopole ◽  
Massive Scalar Field ◽  
Gravitational Fields ◽  
Field Decay

Using the technique of spectral decomposition, we investigated the late-time tails of massless and massive coupled scalar fields in the background of a black hole with a global monopole. We found that due to the existence of the coupling between the scalar and gravitational fields, the massless scalar field decay faster at timelike infinity i+, and so does the massive one in the intermediate late time. But the asymptotically late-time tail for the massive scalar field is not affected and its decay rate is still t-5/6.

VACUUM POLARIZATION IN THE GLOBAL MONOPOLE SPACETIME AT FINITE TEMPERATURE

2002 ◽  
Vol 17 (06n07) ◽  
pp. 879-884 ◽  
Author(s):  
E. R. BEZERRA DE MELLO ◽  
F. C. CARVALHO
Keyword(s):  
High Temperature ◽  
Numerical Analysis ◽  
Finite Temperature ◽  
Vacuum Polarization ◽  
Temperature Limit ◽  
Massless Scalar ◽  
Green Functions ◽  
Global Monopole ◽  
Thermal Average ◽  
High Temperature Limit

In this paper we calculate the thermal Green functions associated with massless scalar and spin-1/2 fields in the pointlike global monopole spacetime. The thermal average values of their respective energy-momentum tensors are formally presented and explicit calculations are performed for specific values of the parameter α which codify the presence of the monopole. Moreover their high-temperature limit behaviors are explicitly exhibited by numerical analysis.

scholarly journals VACUUM POLARIZATION EFFECTS ON QUASINORMAL MODES IN ELECTRICALLY CHARGED BLACK HOLE SPACE–TIMES

2010 ◽  
Vol 19 (01) ◽  
pp. 63-78 ◽  
Author(s):  
OWEN PAVEL FERNANDEZ PIEDRA ◽  
JEFERSON de OLIVEIRA
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Vacuum Polarization ◽  
Quasinormal Modes ◽  
Large Mass ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Massive Scalar Field ◽  
Electrically Charged ◽  
Scalar Sector

We investigate the influence of vacuum polarization of quantum massive fields on the scalar sector of quasinormal modes in spherically symmetric black holes. We consider the evolution of a massless scalar field on the space–time corresponding to a charged semiclassical black hole, consisting of the quantum-corrected geometry of a Reissner–Nordström black hole dressed by a quantum massive scalar field in the large mass limit. Using a sixth order WKB approach we find a shift in the quasinormal mode frequencies due to vacuum polarization.

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