Effects of a harmonic-type potential on a scalar field in a background of CPT-odd Lorentz symmetry violation
We have investigated the relativistic quantum dynamics of a scalar field in an anisotropic background governed by the Lorentz symmetry violation. This analysis is done through a non-minimal coupling in the Klein–Gordon equation, which is inspired by the CPT-odd gauge sector of the standard model ext...
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| Published in | The European physical journal. D, Atomic, molecular, and optical physics Vol. 75; no. 11 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.11.2021
Springer Nature B.V |
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| Online Access | Get full text |
| ISSN | 1434-6060 1434-6079 |
| DOI | 10.1140/epjd/s10053-021-00303-4 |
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| Abstract | We have investigated the relativistic quantum dynamics of a scalar field in an anisotropic background governed by the Lorentz symmetry violation. This analysis is done through a non-minimal coupling in the Klein–Gordon equation, which is inspired by the CPT-odd gauge sector of the standard model extension. From the elaboration of a vector and electromagnetic field configuration as a possible Lorentz break scenario, we induced an electric field which influences the scalar field. In this scenario, we show that it is possible to determine two energy profiles for the system, that is, a description of the relativistic quantum dynamics of the scalar field in the
xy
-plane and in all space-time. |
|---|---|
| AbstractList | We have investigated the relativistic quantum dynamics of a scalar field in an anisotropic background governed by the Lorentz symmetry violation. This analysis is done through a non-minimal coupling in the Klein–Gordon equation, which is inspired by the CPT-odd gauge sector of the standard model extension. From the elaboration of a vector and electromagnetic field configuration as a possible Lorentz break scenario, we induced an electric field which influences the scalar field. In this scenario, we show that it is possible to determine two energy profiles for the system, that is, a description of the relativistic quantum dynamics of the scalar field in the
xy
-plane and in all space-time. We have investigated the relativistic quantum dynamics of a scalar field in an anisotropic background governed by the Lorentz symmetry violation. This analysis is done through a non-minimal coupling in the Klein–Gordon equation, which is inspired by the CPT-odd gauge sector of the standard model extension. From the elaboration of a vector and electromagnetic field configuration as a possible Lorentz break scenario, we induced an electric field which influences the scalar field. In this scenario, we show that it is possible to determine two energy profiles for the system, that is, a description of the relativistic quantum dynamics of the scalar field in the xy-plane and in all space-time. |
| ArticleNumber | 291 |
| Author | Vitória, R. L. L. Belich, H. |
| Author_xml | – sequence: 1 givenname: R. L. L. orcidid: 0000-0001-8802-3634 surname: Vitória fullname: Vitória, R. L. L. email: ricardo.vitoria@pq.cnpq.br, ricardo-luis91@hotmail.com organization: Faculdade de Física, Universidade Federal do Pará – sequence: 2 givenname: H. surname: Belich fullname: Belich, H. organization: Departamento de Física e Química, Universidade Federal do Espírito Santo |
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Belich, Spontaneous Lorentz Symmetry Violation and Low Energy Scenarios (LAMBERT Academic Publishing, Saarbrà 14\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\frac{1}{4}}$$\end{document} cken, 2015) K Bakke (303_CR29) 2015; 360 MB Cruz (303_CR24) 2018; 33 S Aghababaei (303_CR14) 2017; 96 R Bluhm (303_CR15) 2000; 84 A Songaila (303_CR1) 1999; 398 RLL Vitória (303_CR44) 2019; 94 FA Brito (303_CR18) 2008; 664 K Bakke (303_CR30) 2016; 373 MK Bahar (303_CR55) 2013; 2013 R Lehnert (303_CR10) 2003; 68 APB Scarpelli (303_CR17) 2008; 56 R Lehnert (303_CR11) 2004; 45 EVB Leite (303_CR57) 2019; 34 F Mandl (303_CR3) 2010 GM Shore (303_CR13) 2005; 717 F Ahmed (303_CR62) 2019; 411 R Pohl (303_CR5) 2016; 353 RLL Vitória (303_CR31) 2017; 2017 303_CR7 H Hassanabadi (303_CR45) 2016; 76 GB Arfken (303_CR49) 2005 VA Kostelecký (303_CR21) 2009; 80 RLL Vitória (303_CR63) 2016; 131 MB Cruz (303_CR23) 2017; 96 MB Cruz (303_CR25) 2019; 99 RLL Vitória (303_CR64) 2016; 370 303_CR47 RLL Vitória (303_CR61) 2018; 78 EAF Bragança (303_CR52) 2020; 80 OM Del Cima (303_CR20) 2010; 688 VA Kostelecký (303_CR8) 1989; 39 B Altschul (303_CR12) 2004; 70 JR Nascimento (303_CR16) 2007; 0706 H Belich (303_CR38) 2005; 41 RLL Vitória (303_CR51) 2018; 27 PW Gorham (303_CR6) 2018; 121 D Colladay (303_CR26) 1997; 55 FA Brito (303_CR19) 2008; 78 RLL Vitória (303_CR50) 2019; 2019 Y Fukuda (303_CR4) 1998; 81 A Ronveaux (303_CR65) 1995 RLL Vitória (303_CR53) 2020; 135 K Bakke (303_CR43) 2012; 127 M Montigny (303_CR46) 2021; 136 RLL Vitória (303_CR34) 2018; 78 S Zare (303_CR48) 2020; 35 RLL Vitória (303_CR37) 2019; 2019 SM Carroll (303_CR9) 1990; 41 EVB Leite (303_CR59) 2020 RLL Vitória (303_CR35) 2020; 135 Y Aharonov (303_CR39) 1984; 53 LR Ribeiro (303_CR40) 2006; 348 M Abramowitz (303_CR54) 1965 ER Figueiredo Medeiros (303_CR56) 2012; 72 A Songaila (303_CR2) 2004; 428 F Ahmed (303_CR60) 2020; 80 303_CR27 K Bakke (303_CR42) 2014; 87 303_CR28 RLL Vitória (303_CR33) 2017; 132 EVB Leite (303_CR58) 2019; 2019 M Gomes (303_CR22) 2010; 81 RLL Vitória (303_CR36) 2020; 2020 RLL Vitória (303_CR32) 2018; 399 C Furtado (303_CR41) 2006; 358 |
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| Snippet | We have investigated the relativistic quantum dynamics of a scalar field in an anisotropic background governed by the Lorentz symmetry violation. This analysis... |
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| Title | Effects of a harmonic-type potential on a scalar field in a background of CPT-odd Lorentz symmetry violation |
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