Massive quantum fields in a conical background

Moreira, E. S.; Jnr.,

doi:10.1016/0550-3213(95)00357-x

Cited by 54 publications

(64 citation statements)

References 29 publications

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“…The above expression is different from the result obtained subtracting the Minkowski value [13,14], and in fact reduces to the Minkowski value, Eq. (10), rather than vanishing when the conical singularity is removed, namely ν → 1.…”

Section: Simple Applications and Commentsmentioning

confidence: 66%

ζ-function regularization and one-loop renormalization of field fluctuations in curved space-time

Iellici¹,

Moretti²

1998

Physics Letters B

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Abstract:A method to regularize and renormalize the fluctuations of a quantum field in a curved background in the ζ-function approach is presented. The method produces finite quantities directly and finite scale-parametrized counterterms at most. These finite couterterms are related to the presence of a particular pole of the effective-action ζ function as well as to the heat kernel coefficients. The method is checked in several examples obtaining known or reasonable results. Finally, comments are given for as it concerns the recent proposal by Frolov et al. to get the finite Bekenstein-Hawking entropy from Sakharov's induced gravity theory. 04.62.+v, 04.70.Dy PACS number(s):

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Section: Simple Applications and Commentsmentioning

confidence: 66%

ζ-function regularization and one-loop renormalization of field fluctuations in curved space-time

Iellici¹,

Moretti²

1998

Physics Letters B

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“…So a crucial point in this paper was to obtain the complete set of fermionic wavefunctions given by (27) and (31). In order to specify uniquely the mode-functions in AdS bulk, an additional boundary condition is required on the AdS boundary.…”

Section: Resultsmentioning

confidence: 99%

“…The delta symbol on the right-hand side is understood as the Dirac delta function for continuous quantum numbers (λ, k) and the Kronecker delta for discrete ones (j, s). Substituting the eigenspinors (27) into (29) and using the value of the standard integral involving the products of the Bessel functions [42], we find…”

Section: Fermionic Wave-functionsmentioning

confidence: 99%

Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime

Mello

Medeiros

Saharian

2013

Class. Quantum Grav.

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In this paper we investigate the fermionic condensate (FC) and the vacuum expectation value (VEV) of the energy-momentum tensor, associated with a massive fermionic field, induced by the presence of a cosmic string in the anti-de Sitter (AdS) spacetime. In order to develop this analysis we construct the complete set of normalized eigenfunctions in the corresponding spacetime. We consider a special case of boundary conditions on the AdS boundary, when the MIT bag boundary condition is imposed on the field operator at a finite distance from the boundary, which is then taken to zero. The FC and the VEV of the energy-momentum tensor are decomposed into the pure AdS and string-induced parts. Because the analysis of one-loop quantum effects in the AdS spacetime has been developed in the literature, here we are mainly interested to investigate the influence of the cosmic string on the VEVs. The string-induced part in the VEV of the energymomentum tensor is diagonal and the axial and radial stresses are equal to the energy density. For points near the string, the effects of the curvature are subdominant and to leading order, the VEVs coincide with the corresponding VEVs for the cosmic string in Minkowski bulk. At large proper distances from the string, the decay of the VEVs show a power-law dependence of the distance for both massless and massive fields. This is in contrast to the case of Minkowski bulk where, for a massive field, the string-induced parts decay exponentially.

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“…The integral representation for the Green's function for a massive scalar field is considered in Refs. [8,17,21,22]. The corresponding local zeta functions are discussed in Refs.…”

Section: Vacuum Expectation Values For a String Without A Cylindricalmentioning

confidence: 99%

Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime

et al. 2006

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In this paper we investigate the Wightman function, the renormalized vacuum expectation values of the field square, and the energy-momentum tensor for a massive scalar field with general curvature coupling inside and outside of a cylindrical shell in the generalized spacetime of straight cosmic string. For the general case of Robin boundary condition, by using the generalized Abel-Plana formula, the vacuum expectation values are presented in the form of the sum of boundary-free and boundary-induced parts. The asymptotic behavior of the vacuum expectation values of the field square, energy density and stresses are investigated in various limiting cases. The generalization of the results to the exterior region is given for a general cylindrically symmetric static model of the string core with finite support.

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Massive quantum fields in a conical background

Cited by 54 publications

References 29 publications

ζ-function regularization and one-loop renormalization of field fluctuations in curved space-time

ζ-function regularization and one-loop renormalization of field fluctuations in curved space-time

Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime

Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime

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