scholarly journals Vacuum energy density and pressure of a massive scalar field

2015 ◽  
Vol 48 (24) ◽  
pp. 245402 ◽  
Author(s):  
Fernando Daniel Mera ◽  
S A Fulling
Keyword(s):  
Scalar Field ◽  
Energy Density ◽  
Vacuum Energy ◽  
Vacuum Energy Density ◽  
Massive Scalar ◽  
Massive Scalar Field

scholarly journals VACUUM ENERGY INDUCED BY AN IMPENETRABLE FLUX TUBE OF FINITE RADIUS

2011 ◽  
Vol 03 ◽  
pp. 375-385
Author(s):  
V. M. GORKAVENKO ◽  
YU. A. SITENKO ◽  
O. B. STEPANOV
Keyword(s):  
Magnetic Field ◽  
Vacuum Energy ◽  
Dirichlet Boundary ◽  
Vacuum Energy Density ◽  
Transverse Size ◽  
Massive Scalar ◽  
Curvature Scalar ◽  
Finite Radius ◽  
Massive Scalar Field ◽  
The Magnetic Field

We consider the effect of the magnetic field background in the form of a tube of the finite transverse size on the vacuum of the quantized charged massive scalar field which is subject to the Dirichlet boundary condition at the edge of the tube. The vacuum energy is induced, being periodic in the value of the magnetic flux enclosed in the tube. The dependence of the vacuum energy density on the distance from the tube and on the coupling to the space-time curvature scalar is comprehensively analyzed.

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.

scholarly journals Evaluation of the Cosmological Constant in Inflation with a Massive Nonminimal Scalar Field

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Jung-Jeng Huang
Keyword(s):  
Scalar Field ◽  
Dispersion Relation ◽  
Energy Density ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Vacuum State ◽  
Energy Scale ◽  
Quantum Evolution ◽  
Vacuum Energy Density ◽  
De Sitter

In Schrödinger picture we study the possible effects of trans-Planckian physics on the quantum evolution of massive nonminimally coupled scalar field in de Sitter space. For the nonlinear Corley-Jacobson type dispersion relations with quartic or sextic correction, we obtain the time evolution of the vacuum state wave functional during slow-roll inflation and calculate explicitly the corresponding expectation value of vacuum energy density. We find that the vacuum energy density is finite. For the usual dispersion parameter choice, the vacuum energy density for quartic correction to the dispersion relation is larger than for sextic correction, while for some other parameter choices, the vacuum energy density for quartic correction is smaller than for sextic correction. We also use the backreaction to constrain the magnitude of parameters in nonlinear dispersion relation and show how the cosmological constant depends on the parameters and the energy scale during the inflation at the grand unification phase transition.

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.

scholarly journals VACUUM ENERGY DENSITY AND COSMOLOGICAL CONSTANT IN dS BRANE-WORLD

2005 ◽  
Vol 20 (10) ◽  
pp. 2157-2168
Author(s):  
ZHE CHANG ◽  
SHAO-XIA CHEN ◽  
HAI-BAO WEN ◽  
XIN-BING HUANG
Keyword(s):  
Energy Density ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Brane World ◽  
Vacuum Energy Density ◽  
Massive Scalar Field ◽  
Bulk Cosmological Constant ◽  
Discrete Mass ◽  
The Relationship ◽  
Explicit Relation

We discuss the vacuum energy density and the cosmological constant of dS5 brane-world with a dilaton field. It is shown that a stable AdS4 brane can be constructed and gravity localization can be realized. An explicit relation between the dS bulk cosmological constant and the brane cosmological constant is obtained. The discrete mass spectrum of the massive scalar field in the AdS4 brane is used to acquire the relationship between the brane cosmological constant and the vacuum energy density. The vacuum energy density in the brane gotten by this method is in agreement with astronomical observations.

scholarly journals VACUUM ENERGY INDUCED BY AN IMPENETRABLE FLUX TUBE OF FINITE RADIUS

2011 ◽  
Vol 26 (22) ◽  
pp. 3889-3899 ◽  
Author(s):  
V. M. GORKAVENKO ◽  
YU. A. SITENKO ◽  
O. B. STEPANOV
Keyword(s):  
Magnetic Field ◽  
Vacuum Energy ◽  
Dirichlet Boundary ◽  
Vacuum Energy Density ◽  
Transverse Size ◽  
Massive Scalar ◽  
Curvature Scalar ◽  
Finite Radius ◽  
Massive Scalar Field ◽  
The Magnetic Field

We consider the effect of the magnetic field background in the form of a tube of the finite transverse size on the vacuum of the quantized charged massive scalar field which is subject to the Dirichlet boundary condition at the edge of the tube. The vacuum energy is induced, being periodic in the value of the magnetic flux enclosed in the tube. The dependence of the vacuum energy density on the distance from the tube and on the coupling to the space-time curvature scalar is comprehensively analyzed.

scholarly journals Log to log-log crossover of entanglement in a (1+1) -dimensional massive scalar field

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Parul Jain ◽  
S. Mahesh Chandran ◽  
S. Shankaranarayanan
Keyword(s):  
Scalar Field ◽  
Massive Scalar ◽  
Massive Scalar Field

scholarly journals Casimir effect for a massive scalar field under mixed boundary conditions

2003 ◽  
Vol 33 (4) ◽  
pp. 860-866 ◽  
Author(s):  
A.C. Aguiar Pinto ◽  
T.M. Britto ◽  
R. Bunchaft ◽  
F. Pascoal ◽  
F.S.S. da Rosa
Keyword(s):  
Scalar Field ◽  
Boundary Conditions ◽  
Mixed Boundary ◽  
Casimir Effect ◽  
Mixed Boundary Conditions ◽  
Massive Scalar ◽  
Massive Scalar Field

Charged Black Holes with Massive Scalar Field

2009 ◽  
Author(s):  
D. Georgieva ◽  
I. Stefanov ◽  
M. Todorov ◽  
S. Yazadjiev ◽  
Michail D. Todorov ◽  
...  
Keyword(s):  
Black Holes ◽  
Scalar Field ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Charged Black Holes
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