# Casimir Effect in Horava-Lifshitz-like theories

@article{Ulion2015CasimirEI, 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}, year={2015} }

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

### Fermionic Casimir effect in Horava–Lifshitz theories

- PhysicsInternational Journal of Modern Physics A
- 2019

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

- Physics
- 2020

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

- Mathematics, PhysicsThe European Physical Journal C
- 2020

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

- PhysicsPhysical Review D
- 2019

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

- PhysicsModern Physics Letters A
- 2018

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

- Physics
- 2020

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…

### NLO radiative correction to the Casimir energy in Lorentz-violating scalar field theory

- PhysicsNuclear Physics B
- 2019

### Testing Lorentz and CPT invariance with ultracold neutrons

- PhysicsPhysical Review D
- 2018

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…

## References

SHOWING 1-10 OF 48 REFERENCES

### Horava-Lifshitz modifications of the Casimir effect

- Physics
- 2013

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

- Physics
- 2010

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

- Physics
- 2012

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

- Physics
- 2010

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

- Mathematics
- 2012

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

- Physics
- 2009

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

- Physics
- 2003

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

- Physics
- 2009

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.

- PhysicsPhysical review letters
- 2001

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