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 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

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 Casimir effect in polymer scalar field theory

2020 ◽  
Vol 101 (4) ◽  
Author(s):  
C. A. Escobar ◽  
E. Chan-López ◽  
A. Martín-Ruiz
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Casimir Effect ◽  
Scalar Field Theory

scholarly journals Scalar field theory limits of bosonic string amplitudes

2000 ◽  
Vol 579 (1-2) ◽  
pp. 379-410 ◽  
Author(s):  
Alberto Frizzo ◽  
Lorenzo Magnea ◽  
Rodolfo Russo
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Bosonic String ◽  
Scalar Field Theory ◽  
String Amplitudes

On causality in polymer scalar field theory

2011 ◽  
Author(s):  
Angel A. García-Chung ◽  
Hugo A. Morales-Técotl ◽  
Luis Arturo Ureña-López ◽  
Hugo Aurelio Morales-Técotl ◽  
Román Linares-Romero ◽  
...  
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Field Theory

scholarly journals ASYMPTOTIC FREEDOM IN A SCALAR FIELD THEORY ON THE LATTICE

1998 ◽  
Vol 13 (31) ◽  
pp. 2495-2501 ◽  
Author(s):  
KURT LANGFELD ◽  
HUGO REINHARDT
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Particle ◽  
Higgs Sector ◽  
Asymptotic Freedom ◽  
Scalar Field Theory ◽  
Large N ◽  
The Standard Model ◽  
Conceptual Problems ◽  
The Continuum

A scalar field theory in four space–time dimensions is proposed, which embodies a scalar condensate, but is free of the conceptual problems of standard ϕ4-theory. We propose an N-component, O(N)-symmetric scalar field theory, which is originally defined on the lattice. The scalar lattice model is analytically solved in the large-N limit. The continuum limit is approached via an asymptotically free scaling. The renormalized theory evades triviality, and furthermore gives rise to a dynamically formed mass of the scalar particle. The model might serve as an alternative to the Higgs sector of the standard model, where the quantum level of the standard ϕ4-theory contradicts phenomenology due to triviality.

Sign in / Sign up

Export Citation Format

Share Document