Lorentz-violating effects on topological defects generated by two real scalar fields

被引:37
作者
Bazeia, D. [1 ]
Ferreira, M. M., Jr. [2 ]
Gomes, A. R. [3 ]
Menezes, R. [1 ,4 ]
机构
[1] Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, Paraiba, Brazil
[2] Univ Fed Maranhao, Dept Fis, BR-65085580 Sao Luis, MA, Brazil
[3] Inst Fed Educ Cencia & Tecnol Maranhao, Dept Fis, BR-65025001 Sao Luis, MA, Brazil
[4] Univ Fed Paraiba, Dept Ciencias Exatas, BR-58297000 Rio Tinto, PB, Brazil
关键词
Lorentz violation; Domain wall; Stability; COMPOSITE SOLITARY WAVES; DOMAIN-WALLS; CPT VIOLATION; CRYSTALLINE POLYETHYLENE; SYMMETRY-BREAKING; STANDARD-MODEL; STRINGS; CAUSALITY; TWISTONS; SOLITONS;
D O I
10.1016/j.physd.2010.01.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The influence of a Lorentz violation on soliton solutions generated by a system of two coupled scalar fields is investigated. Lorentz violation is induced by a fixed tensor coefficient that couples the two fields. The Bogomol'nyi method is applied and first-order differential equations are obtained whose solutions minimize the energy and are also solutions of the equations of motion. The analysis of the solutions in phase space shows how the stability is modified with the Lorentz violation. It is shown explicitly that the solutions preserve linear stability despite the presence of Lorentz violation. Considering Lorentz violation as a small perturbation, an analytical method is employed to yield analytical solutions. Crown Copyright (c) 2010 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:942 / 947
页数:6
相关论文
共 56 条
[1]   Causality and CPT violation from an Abelian Chern-Simons-like term [J].
Adam, C ;
Klinkhamer, FR .
NUCLEAR PHYSICS B, 2001, 607 (1-2) :247-267
[2]   Causality and radiatively induced CPT violation [J].
Adam, C ;
Klinkhamer, FR .
PHYSICS LETTERS B, 2001, 513 (1-2) :245-250
[3]   Lorentz violation and synchrotron radiation [J].
Altschul, B .
PHYSICAL REVIEW D, 2005, 72 (08)
[4]   Compton scattering in the presence of Lorentz and CPT violation -: art. no. 056005 [J].
Altschul, B .
PHYSICAL REVIEW D, 2004, 70 (05) :056005-1
[5]   LORENTZ SYMMETRY-BREAKING IN ABELIAN VECTOR-FIELD MODELS WITH WESS-ZUMINO INTERACTION [J].
ANDRIANOV, AA ;
SOLDATI, R .
PHYSICAL REVIEW D, 1995, 51 (10) :5961-5964
[6]   Patterns of Lorentz symmetry breaking in QED by CPT-odd interaction [J].
Andrianov, AA ;
Soldati, R .
PHYSICS LETTERS B, 1998, 435 (3-4) :449-452
[7]  
Andrianov AA, 1999, PHYS REV D, V59, DOI 10.1103/PhysRevD.59.025002
[8]   Defect junctions and domain wall dynamics [J].
Avelino, P. P. ;
Martins, C. J. A. P. ;
Menezes, J. ;
Menezes, R. ;
Oliveira, J. C. R. E. .
PHYSICAL REVIEW D, 2006, 73 (12)
[9]   Bifurcation and pattern changing with two real scalar fields [J].
Avelino, P. P. ;
Bazeia, D. ;
Menezes, R. ;
Oliveira, J. C. R. E. .
PHYSICAL REVIEW D, 2009, 79 (08)
[10]   Lorentz-violating electrostatics and magnetostatics [J].
Bailey, QG ;
Kostelecky, VA .
PHYSICAL REVIEW D, 2004, 70 (07)