Casimir energy of the massless conformal scalar field on S-2 by the point-splitting method

1997 ◽  
Vol 38 (10) ◽  
pp. 5240-5255 ◽  
Author(s):  
Selçuk Ş. Bayın ◽  
Mustafa Özcan
Keyword(s):  
Scalar Field ◽  
Splitting Method ◽  
Casimir Energy ◽  
Point Splitting ◽  
Conformal Scalar Field

scholarly journals Static Casimir condensate of conformal scalar field in Friedmann universe

2018 ◽  
Vol 33 (28) ◽  
pp. 1850162 ◽  
Author(s):  
Andrej B. Arbuzov ◽  
Alexander E. Pavlov
Keyword(s):  
Scalar Field ◽  
Energy Density ◽  
Casimir Energy ◽  
Divergent Series ◽  
Massive Scalar ◽  
Friedmann Universe ◽  
Differential Relation ◽  
Static Approximation ◽  
Massive Scalar Field ◽  
Conformal Scalar Field

The quantum Casimir condensate of a conformal massive scalar field in a compact Friedmann universe is considered in the static approximation. The Abel–Plana formula is used for renormalization of divergent series in the condensate calculation. A differential relation between the static Casimir energy density and static Casimir condensate is derived.

Higgs-like field from extended theory of gravitation

2014 ◽  
Vol 11 (02) ◽  
pp. 1460001
Author(s):  
L. Fatibene ◽  
M. Ferraris ◽  
G. Magnano ◽  
M. Palese ◽  
M. Capone ◽  
...  
Keyword(s):  
Scalar Field ◽  
Extended Theory ◽  
Theory Of Gravitation ◽  
Conformal Scalar Field

We shall consider possible potentials emerging in (purely metric) f(R)-theories for the conformal scalar field. We shall discuss possible approaches to determine models with specific potentials and show that some potentials qualitatively similar to the typical Higgs potentials are allowed.

Weak Gravitational Wave and Casimir Energy of a Scalar Field

2016 ◽  
Vol 55 (9) ◽  
pp. 4100-4108
Author(s):  
F. Tavakoli ◽  
R. Pirmoradian ◽  
I. Parsabod
Keyword(s):  
Scalar Field ◽  
Gravitational Wave ◽  
Casimir Energy ◽  
Weak Gravitational Wave

scholarly journals A NOTE ON THE CASIMIR ENERGY OF A MASSIVE SCALAR FIELD IN POSITIVE CURVATURE SPACE

2004 ◽  
Vol 19 (02) ◽  
pp. 111-116 ◽  
Author(s):  
E. ELIZALDE ◽  
A. C. TORT
Keyword(s):  
High Temperature ◽  
Scalar Field ◽  
Zeta Function ◽  
Vacuum Energy ◽  
Positive Curvature ◽  
Zero Point ◽  
Casimir Energy ◽  
Massive Scalar ◽  
Zero Temperature ◽  
Massive Scalar Field

We re-evaluate the zero point Casimir energy for the case of a massive scalar field in R1×S3 space, allowing also for deviations from the standard conformal value ξ=1/6, by means of zero temperature zeta function techniques. We show that for the problem at hand this approach is equivalent to the high temperature regularization of the vacuum energy, as conjectured in a previous publication. The analytic continuation can be performed in two ways, which are seen to be equivalent.

WORMHOLE SOLUTIONS IN R1×S1×S2 TOPOLOGICAL SPACE

1992 ◽  
Vol 07 (27) ◽  
pp. 2463-2467 ◽  
Author(s):  
SUBENOY CHAKRABORTY
Keyword(s):  
Scalar Field ◽  
Topological Space ◽  
Cosmological Constant ◽  
Symmetric Tensor ◽  
Einstein Equations ◽  
Second Step ◽  
Anisotropic Space ◽  
First Case ◽  
Frw Metric ◽  
Conformal Scalar Field

Wormhole solutions are discussed for two different physical situations in the background of a homogeneous anisotropic space-time. In the first case, the wormholes are solutions of the Euclidean Einstein equations with a cosmological constant and a two-index anti-symmetric tensor for monopole configuration on a space with three-surface of topology S1×S2. In the second step, conformal scalar field is coupled to gravity and wormhole are considered for both λ=0 and λ>0. These results are analogous to the wormhole solutions for FRW metric.

scholarly journals Casimir energy and topological mass for a massive scalar field with Lorentz violation

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
M. B. Cruz ◽  
E. R. Bezerra de Mello ◽  
H. F. Santana Mota
Keyword(s):  
Scalar Field ◽  
Lorentz Violation ◽  
Casimir Energy ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Topological Mass

scholarly journals The Casimir energy anomaly for a point interaction

2020 ◽  
Vol 35 (03) ◽  
pp. 2040008
Author(s):  
Davide Fermi
Keyword(s):  
Scalar Field ◽  
Casimir Energy ◽  
Point Interaction ◽  
Boundary Term ◽  
Intrinsic Nature ◽  
Neutral Scalar

The Casimir energy for a massless, neutral scalar field in presence of a point interaction is analyzed using a general zeta-regularization approach developed in earlier works. In addition to a regular bulk contribution, there arises an anomalous boundary term which is infinite despite renormalization. The intrinsic nature of this anomaly is briefly discussed.

scholarly journals Radiative correction to the Casimir energy for massive scalar field on a spherical surface

2017 ◽  
Vol 32 (24) ◽  
pp. 1750128 ◽  
Author(s):  
M. A. Valuyan
Keyword(s):  
Scalar Field ◽  
Radiative Correction ◽  
Spherical Surface ◽  
Perturbation Expansion ◽  
Casimir Energy ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Free Theory

In this paper, the first-order radiative correction to the Casimir energy for a massive scalar field in the [Formula: see text] theory on a spherical surface with [Formula: see text] topology was calculated. In common methods for calculating the radiative correction to the Casimir energy, the counter-terms related to free theory are used. However, in this study, by using a systematic perturbation expansion, the obtained counter-terms in renormalization program were automatically position-dependent. We maintained that this dependency was permitted, reflecting the effects of the boundary conditions imposed or background space in the problem. Additionally, along with the renormalization program, a supplementary regularization technique that we named Box Subtraction Scheme (BSS) was performed. This scheme presents a useful method for the regularization of divergences, providing a situation that the infinities would be removed spontaneously without any ambiguity. Analysis of the necessary limits of the obtained results for the Casimir energy of the massive and massless scalar field confirmed the appropriate and reasonable consistency of the answers.

Sign in / Sign up

Export Citation Format

Share Document