Casimir Effect in Horava-Lifshitz-like theories

  title={Casimir Effect in Horava-Lifshitz-like theories},
  author={I. J. Morales Ulion and Eugenio R. Bezerra de Mello and Albert Petrov},
  journal={arXiv: High Energy Physics - 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… 
8 Citations

Figures from this paper

Fermionic Casimir effect in Horava–Lifshitz theories

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

Electromagnetic Casimir effect in a Lorentz symmetry violation model

In this paper, we study the electromagnetic Casimir effects in the context of Lorentz symmetry violations. Two distinct approaches are considered: the first one is based on Horava-Lifshitz

The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory

In this work, we obtain the Casimir energy for the real scalar field and the Elko neutral spinor field in a field theory at a Lifshitz fixed point (LP). We analyze the massless and the massive case

Fermionic Casimir effect in a field theory model with Lorentz symmetry violation

In this paper, we evaluate the Casimir energy and pressure for a massive fermionic field confined in the region between two parallel plates. In order to implement this confinement we impose the

Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory

In this paper, we investigate the thermal effect on the Casimir energy associated with a massive scalar quantum field confined between two large parallel plates in a CPT-even, aether-like

Casimir effect of a Lorentz-violating scalar in magnetic field

In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The scalar field satisfies Dirichlet boundary

Testing Lorentz and CPT invariance with ultracold neutrons

In this paper we investigate, within the standard model extension framework, the influence of Lorentz- and CPT-violating terms on gravitational quantum states of ultracold neutrons. Using a



Horava-Lifshitz modifications of the Casimir effect

We study the modifications induced by spacetime anisotropy on the Casimir effect in the case of two parallel plates. Non-perturbative and perturbative regimes are analyzed. In the first case, the

Liouville-Lifshitz theory in 3 + 1 dimensions

We consider a four-dimensional theory in the z = 3 Lifshitz context, with an exponential (Liouville) potential. We determine the exact renormalized potential of the theory and derive the

On the effective potential for Horava-Lifshitz-like theories

The Horava-Lifshitz (HL) approach [1] has recently acquired a great scientific attention. This approach is characterized by an essential asymmetry between space and time coordinates (space-time

A simple UV completion of QED in 5 dimensions

We construct a Lifshitz-like version of five-dimensional (5D) QED which is UV completed and reduces at low energies to ordinary 5D QED. The UV quantum behavior of this theory is very smooth. In

On Ward Identities in Lifshitz-like Field Theories

In this work, we develop a normal product algorithm suitable to the study of anisotropic field theories in flat space, apply it to construct the symmetries generators and describe how their possible

Renormalization group in Lifshitz-type theories

We study the one-loop renormalization and evolution of the couplings in scalar field theories of the Lifshitz type, i.e. with different scaling in space and time. These theories are unitary and

Noncommutative field theory and violation of translation invariance

Noncommutative field theories with commutator of the coordinates of the form [xμ,xν] = i Λωμνxω with nilpotent structure constants are studied and shown that a free quantum field theory is not

Quantum Gravity at a Lifshitz Point

We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between space

Noncommutative field theory and Lorentz violation.

Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary fields.