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arXiv 1001.5286hep-th
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两个实标量场产生的拓扑缺陷的洛伦兹破坏效应

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

D. Bazeia, M. M. Ferreira, A. R. Gomes, R. Menezes

摘要:

研究了耦合标量场系统中洛伦兹破坏对孤子解的影响。洛伦兹破坏是由耦合两个场的固定张量系数引起的。应用Bogomol 'nyi方法,得到一阶微分方程,其解使能量最小,也是运动方程的解。在相空间中的解决方案的分析显示如何修改的稳定性与洛伦兹破坏。它表明,明确的解决方案保持线性稳定,尽管存在洛伦兹破坏。将洛仑兹破坏视为小扰动,采用解析方法得到解析解。

英文摘要:

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 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.

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