Thermal corrections to the Casimir energy in a general weak gravitational field

2016 ◽  
Vol 31 (02) ◽  
pp. 1650007 ◽  
Author(s):  
Borzoo Nazari
Keyword(s):  
Gravitational Field ◽  
Casimir Effect ◽  
Quantum Statistical Mechanics ◽  
Temperature Limit ◽  
Casimir Energy ◽  
Zero Temperature ◽  
Parallel Plates ◽  
Gravitational Fields ◽  
Weak Gravitational Field ◽  
Klein Gordon

We calculate finite temperature corrections to the energy of the Casimir effect of a two conducting parallel plates in a general weak gravitational field. After solving the Klein–Gordon equation inside the apparatus, mode frequencies inside the apparatus are obtained in terms of the parameters of the weak background. Using Matsubara’s approach to quantum statistical mechanics gravity-induced thermal corrections of the energy density are obtained. Well-known weak static and stationary gravitational fields are analyzed and it is found that in the low temperature limit the energy of the system increases compared to that in the zero temperature case.

Electromagnetic thermal corrections to Casimir energy

2016 ◽  
Vol 31 (22) ◽  
pp. 1650127 ◽  
Author(s):  
Borzoo Nazari
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Scalar Field ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Parallel Plates ◽  
Weak Gravitational Field

In [B. Nazari, Mod. Phys. Lett. A 31, 1650007 (2016)], we calculated finite temperature corrections to the energy of the Casimir effect of two conducting parallel plates in a general weak gravitational field. The calculations was done for the case a scalar field was present between the plates. Here we find the same results in the presence of an electromagnetic field.

scholarly journals Fermionic Casimir effect in Horava–Lifshitz theories

2019 ◽  
Vol 34 (20) ◽  
pp. 1950107
Author(s):  
Dêivid R. da Silva ◽  
M. B. Cruz ◽  
E. R. Bezerra de Mello
Keyword(s):  
Boundary Condition ◽  
Casimir Effect ◽  
Lorentz Symmetry ◽  
Casimir Energy ◽  
Quantum Field ◽  
Parallel Plates ◽  
Symmetry Violation ◽  
Massless Quantum

In this paper, we analyze the fermionic Casimir effects associated with a massless quantum field in the context of Lorentz symmetry violation approach based on Horava–Lifshitz methodology. In order to obtain these observables, we impose the standard MIT bag boundary condition on the fields on two large and parallel plates. Our main objectives are to investigate how the Casimir energy and pressure depend on the parameter associated with the breaking of Lorentz symmetry.

Path Integral Treatment of a Dirac Particle in a Weak Gravitational Plane Wave

2010 ◽  
Vol 65 (5) ◽  
pp. 431-444
Author(s):  
Sana Zabat ◽  
Lyazid Chetouani
Keyword(s):  
Gravitational Field ◽  
Path Integral ◽  
Dirac Particle ◽  
Green Functions ◽  
Integral Formalism ◽  
Dirac Particles ◽  
Weak Gravitational Field ◽  
Klein Gordon ◽  
Integral Treatment ◽  
Classical Trajectories

The Green functions for Klein-Gordon and Dirac particles in a weak gravitational field are determined exactly by the path integral formalism. By using simple changes, it is shown that the classical trajectories play an important role in determining these Green functions

scholarly journals NEUTRINO SPIN OSCILLATIONS IN GRAVITATIONAL FIELDS

2006 ◽  
Vol 15 (07) ◽  
pp. 1017-1033 ◽  
Author(s):  
MAXIM DVORNIKOV
Keyword(s):  
Black Hole ◽  
Gravitational Field ◽  
Evolution Equation ◽  
Transition Probability ◽  
Effective Hamiltonian ◽  
Classical Approach ◽  
General Technique ◽  
Gravitational Fields ◽  
Spin Evolution ◽  
Weak Gravitational Field

We study neutrino spin oscillations in gravitational fields. The quasi-classical approach is used to describe the neutrino spin evolution. First we examine the case of a weak gravitational field. We obtain the effective Hamiltonian for the description of neutrino spin oscillations. We also receive the neutrino transition probability when a particle propagates in the gravitational field of a rotating massive object. Then we apply the general technique to the description of neutrino spin oscillations in the Schwarzschild metric. The neutrino spin evolution equation for the case of the neutrino motion in the vicinity of a black hole is obtained. The effective Hamiltonian and the transition probability are also derived. We examine the neutrino oscillations process on different circular orbits and analyze the frequencies of spin transitions. The validity of the quasi-classical approach is also considered.

scholarly journals SCALAR CASIMIR EFFECT BETWEEN TWO CONCENTRIC SPHERES

2012 ◽  
Vol 27 (16) ◽  
pp. 1250082 ◽  
Author(s):  
MUSTAFA ÖZCAN
Keyword(s):  
Scalar Field ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Outer Radius ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Parallel Plates ◽  
New Approach ◽  
Concentric Spheres ◽  
Spherical Boundary

The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of eigenfrequencies. We developed a new approach appropriate for the calculation of the Casimir energy for spherical boundary conditions. The Casimir energy for a massless scalar field between the closely spaced two concentric spheres coincides with the Casimir energy of the parallel plates for a massless scalar field in the limit when the dimensionless parameter η, ([Formula: see text] where a(b) is inner (outer) radius of sphere), goes to zero. The efficiency of new approach is demonstrated by calculation of the Casimir energy for a massless scalar field between the closely spaced two concentric half spheres.

Casimir effect in spacetimes with cosmological constant

2016 ◽  
Vol 25 (09) ◽  
pp. 1641017
Author(s):  
C. H. G. Bessa ◽  
V. B. Bezerra ◽  
J. C. J. Silva
Keyword(s):  
Gravitational Field ◽  
Energy Density ◽  
Cosmological Constant ◽  
Casimir Effect ◽  
Casimir Energy ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime

In this work, we study the influence of the gravitational field induced by the presence of a cosmological constant [Formula: see text] on the Casimir energy density. We consider two metrics with the presence of the [Formula: see text]-term, namely de Sitter and Schwarzschild-de Sitter (SdS). In the former case, we consider a conformal de Sitter spacetime and in the last one, a weak gravitational SdS spacetime.

scholarly journals Casimir effect in an axially symmetric spacetime with unparticles

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
V. B. Bezerra ◽  
C. R. Muniz ◽  
H. S. Vieira
Keyword(s):  
Energy Density ◽  
Characteristic Length ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Einstein Equations ◽  
Kerr Solution ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Parallel Plates ◽  
Axially Symmetric

Abstract We investigate the Casimir effect of the massless scalar field in a cavity formed by ideal parallel plates in the spacetime generated by a rotating axially symmetric distribution of vector or scalar (tensor) unparticles, around which the plates orbit. The presence of the unparticles is incorporated to the background by means of a correction to the Kerr solution of the Einstein equations, in which the characteristic length and the scale dimension associated to the unparticle theory are taken into account. We show that the Casimir energy density depends also on these parameters. The analysis of the “ungravity” limit for the Casimir energy density, in which the characteristic length is very large in comparison to the horizon radius, is made, too. At zero temperature, we show that such a limit implies the instability of the system, since the Casimir energy density becomes an imaginary quantity. The general result is compared to the current terrestrial experiments of the Casimir effect. Thermal corrections also are investigated and the ungravity limit again examined, with the aforementioned instability disappearing at high temperatures.

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