scholarly journals Casimir effect in Horava–Lifshitz-like theories

2015 ◽  
Vol 30 (36) ◽  
pp. 1550220 ◽  
Author(s):  
I. J. Morales Ulion ◽  
E. R. Bezerra de Mello ◽  
A. Yu. Petrov
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Boundary Conditions ◽  
Casimir Force ◽  
Casimir Effect ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Two Dimensional ◽  
Parallel Plates ◽  
Scalar Field Theory

In this paper, we consider a Lorentz-breaking scalar field theory within the Horava–Lifshtz approach. We investigate the changes that a space–time anisotropy produces in the Casimir effect. A massless real quantum scalar field is considered in two distinct situations: between two parallel plates and inside a rectangular two-dimensional box. In both cases, we have adopted specific boundary conditions on the field at the boundary. As we shall see, the energy and the Casimir force strongly depends on the parameter associated with the breaking of Lorentz symmetry and also on the boundary conditions.

scholarly journals Gravitation in Unified Scalar Field Theory

Universe ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 11
Author(s):  
Alexander A. Chernitskii
Keyword(s):  
Thin Film ◽  
Field Theory ◽  
Scalar Field ◽  
Field Model ◽  
Space Time ◽  
Two Dimensional ◽  
Scalar Field Theory ◽  
Fundamental Field ◽  
Practical Applications

The scalar field of space-time film is considered as unified fundamental field. The field model under consideration is the space-time generalization of the model for a two-dimensional thin film. The force and metrical interactions between solitons are considered. These interactions correspond to the electromagnetic and gravitational interactions respectively. The metrical interaction and its correspondence to the gravitational one are considered in detail. The practical applications of this approach are briefly discussed.

scholarly journals Gravitation in Unified Scalar Field Theory

2020 ◽  
Author(s):  
Alexander Chernitskii
Keyword(s):  
Thin Film ◽  
Field Theory ◽  
Scalar Field ◽  
Field Model ◽  
Space Time ◽  
Two Dimensional ◽  
Scalar Field Theory ◽  
Fundamental Field ◽  
Practical Applications

The scalar field of space-time film is considered as unified fundamental field. The field model under consideration is the space-time generalization of the model for a two-dimensional thin film. The force and metrical interactions between solitons are considered. These interactions correspond to the electromagnetic and gravitational interactions respectively. The metrical interaction and its correspondence to the gravitational one are considered in detail. The practical applications of this approach are discussed.

Remarks on the vacuum energy in interacting scalar field theory

1990 ◽  
Vol 68 (1) ◽  
pp. 91-95 ◽  
Author(s):  
T. F. Treml
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Path Integral ◽  
Vacuum Energy ◽  
Casimir Effect ◽  
Dimensional Regularization ◽  
Zero Point ◽  
Scalar Field Theory ◽  
Method Of Calculation ◽  
Independent Term

The vacuum energy in interacting scalar field theory is computed in the case of the Casimir effect as a sum over zero-point energies and as a path-integral determinant, using both ζ-function regularization and dimensional regularization. Using a simple nonrecursive method of calculation, the two forms of the vacuum energy are shown to differ before renormalization by a scale-independent term when ζ-function regularization is used, but yield exactly the same result when dimensional regularization is used.

scholarly journals COMPLEX q-ANALYSIS AND SCALAR FIELD THEORY ON A q-LATTICE

1994 ◽  
Vol 09 (12) ◽  
pp. 1121-1130 ◽  
Author(s):  
MARCELO R. UBRIACO
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Minkowski Space ◽  
Function Space ◽  
Laplace Equation ◽  
Difference Equations ◽  
Second Order ◽  
Inner Product ◽  
Two Dimensional ◽  
Scalar Field Theory

We develop the basic formalism of complex q-analysis to study the solutions of second order q-difference equations which reduce, in the q → 1 limit, to the ordinary Laplace equation in Euclidean and Minkowski space. After defining an inner product on the function space we construct and study the properties of the solutions, and then apply this formalism to the Schrödinger equation and two-dimensional scalar field theory.

scholarly journals CASIMIR EFFECT FOR THE MASSLESS DIRAC FIELD IN TWO-DIMENSIONAL REISSNER–NORDSTRÖM SPACE–TIME

2006 ◽  
Vol 15 (09) ◽  
pp. 1473-1486 ◽  
Author(s):  
XIN-QIN GAO ◽  
JIAN-YANG ZHU
Keyword(s):  
Black Hole ◽  
Stress Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Space Time ◽  
Dirac Field ◽  
Two Dimensional ◽  
Parallel Plates ◽  
Expectation Values ◽  
Particle Current

In this paper, the two-dimensional Reissner–Nordström black hole is considered as a system of the Casimir type. In this background, the Casimir effect for the massless Dirac field is discussed. The massless Dirac field is confined between two "parallel plates" separated by a distance L and there is no particle current drilling through the boundaries. The vacuum expectation values of the stress tensor of the massless Dirac field at infinity are calculated separately in the Boulware state, the Hartle–Hawking state and the Unruh state.

scholarly journals Casimir effect in Lorentz-violating scalar field theory: A local approach

2020 ◽  
Vol 101 (9) ◽  
Author(s):  
C. A. Escobar ◽  
Leonardo Medel ◽  
A. Martín-Ruiz
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Casimir Effect ◽  
Local Approach ◽  
Scalar Field Theory

Dimensional renormalization of scalar field theory in curved space-time

1980 ◽  
Vol 130 (1) ◽  
pp. 215-248 ◽  
Author(s):  
Lowell S Brown ◽  
John C Collins
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Space Time ◽  
Scalar Field Theory ◽  
Curved Space
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