# Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension

@article{Bakke2014RelativisticGQ,
title={Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension},
author={Knut Bakke and H. Belich},
journal={arXiv: High Energy Physics - Theory},
year={2014}
}
• Published 16 December 2014
• Physics
• arXiv: High Energy Physics - Theory
We discuss the appearance of relativistic geometric quantum phases for a Dirac neutral particle based on possible scenarios of the Lorentz symmetry violation background in the CPT-even gauge sector of Standard Model Extension. Relativistic analogues of the Anandan quantum phase [J. Anandan, Phys. Lett. A 138, 347 (1989)] are obtained based on the the parity-even and parity-odd sectors of the tensor $\left(K_{F}\right)_{\mu\nu\alpha\beta}$.
8 Citations

### Relativistic scalar Aharonov–Bohm effect for a neutral particle under Lorentz symmetry breaking effects in the cosmic string space–time

• Physics
International Journal of Modern Physics A
• 2019
We search for relativistic quantum phases for a Dirac neutral particle with a permanent magnetic dipole moment in the cosmic string space–time under the effects of the violation of the Lorentz

### Effects of Lorentz symmetry breaking by a tensor field subject to Coulomb-type potential on relativistic quantum oscillator

• F. Ahmed
• Physics
Proceedings of the Royal Society A
• 2022
In this paper, we solve the Klein–Gordon oscillator analytically under Lorentz-violating effects defined by a tensor field subject to a Coulomb-type scalar potential. We obtain the bound-state

### He-McKellar-Wilkens-type effect, quantum holonomies and Aharonov-Bohm-type effect for bound states from the Lorentz symmetry breaking effects

• Physics
• 2016
From the effects of the Lorentz symmetry violation in the CPT-even gauge sector of the Standard Model Extension determined by a tensor background (KF)μναβ, we establish a possible scenario where an

### Relativistic Analogues of the Aharonov-Bohm Effect and the Landau Quantization with the Lorentz Symmetry Violation Determined by Azimuthal Electric Fields and a Fixed Vector Field

• Physics
• 2020
We analyse the behaviour of the Dirac field under the effects of the violation of the Lorentz symmetry determined by a fixed time-like vector background and azimuthal electric fields. We show, from

### Aharonov–Casher effect and persistent spin currents in a Coulomb-type potential induced by Lorentz symmetry breaking effects

• Physics
Communications in Theoretical Physics
• 2020
We investigate quantum effects on a nonrelativistic neutral particle with a permanent magnetic dipole moment that interacts with an electric field. This neutral particle is also under the influence

### Effects of CPT -odd terms of dimensions three and five on electromagnetic propagation in continuous matter

• Physics
Physical Review D
• 2021
In this work we study how CPT -odd Maxwell-Carroll-Field-Jackiw (MCFJ) electrodynamics as well as a dimension-5 extension of it affect the optical activity of continuous media. The starting point is

### Effects of a Landau-Type Quantization Induced by the Lorentz Symmetry Violation on a Dirac Field

• Physics
• 2019
Inspired by the extension of the Standard Model, we analyzed the effects of the spacetime anisotropies on a massive Dirac field through a non-minimal CPT-odd coupling in the Dirac equation, where we

## References

SHOWING 1-10 OF 162 REFERENCES

### Anandan quantum phase and quantum holonomies induced by the effects of the Lorentz symmetry violation background in the CPT-even gauge sector of the Standard Model Extension

• Physics
• 2013
We study the rise of geometric quantum phases corresponding to the analogues of the Anandan quantum phase (J. Anandan, Phys. Lett. A 138, 347 (1989)) based on possible scenarios of the Lorentz

### Lorentz and CPT violation in the Higgs sector

• Physics
• 2004
Colladay and Kostelecky have proposed a framework for studying Lorentz and CPT violation in a natural extension of the Standard Model. Although numerous bounds exist on the Lorentz and CPT violating

### Non-minimal coupling to a Lorentz-violating background and topological implications

• Physics
• 2004
Abstract.The non-minimal coupling of fermions to a background responsible for the breaking of Lorentz symmetry is introduced in Dirac’s equation; the non-relativistic regime is contemplated, and the

### Quantum holonomies based on the Lorentz-violating tensor background

• Physics
• 2013
We study geometric quantum phases corresponding to analogues of the Anandan quantum phase (Anandan 1989 Phys. Lett. A 138 347) based on a possible scenario of the Lorentz-symmetry violation

### $CPT$ violation and the standard model

• Physics
• 1997
Spontaneous CPT breaking arising in string theory has been suggested as a possible observable experimental signature in neutral-meson systems. We provide a theoretical framework for the treatment of

### Relativistic Anandan quantum phase in the Lorentz violation background

• Physics
• 2011
We study the influence of a classical background based on the violation of the Lorentz symmetry on the relativistic Anandan quantum phase. We show that the choice of the Lorentz symmetry violation

### New $CPT$-even and Lorentz-violating nonminimal coupling in the Dirac equation

• Physics
• 2013
In this work, we propose a CPT-even and Lorentz-violating dimension-five nonminimal coupling between fermionic and gauge fields, involving the CTP-even and Lorentz-violating gauge tensor of the SME.

### Nonrelativistic quantum Hamiltonian for Lorentz violation

• Physics
• 1999
A method is presented for deriving the nonrelativistic quantum Hamiltonian of a free massive fermion from the relativistic Lagrangian of the Lorentz-violating standard-model extension. It permits the