Vaccum interaction between topological objects

拓扑对象之间的真空相互作用

• 批准号: 182993885
• 负责人: Privatdozent Dr. Michael Bordag
• 金额: --
• 依托单位: Institut für Theoretische Physik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2010
• 资助国家: 德国
• 起止时间: 2009-12-31 至 2013-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/182993885?language=en
• 关键词: Vaccum; interaction; between; topological; objects

Topological solitons belong to the most interesting topics in quantum field theory as models for extended objects like strings, domain walls and baryons. The interaction of these objects, especially the scattering on off another, follows from their properties as classical fields. In addition, there is an interaction due to the vacuum fluctuations of quantum fields coupled to the background of the topological solitons. This is a vacuum interaction in complete analogy to the Casimir effect between conducting surfaces. The investigation of this interaction was so far nearly impossible due to the inherent ultraviolet divergences present in the intermediate steps and the complicated procedure of their removal. The situation changed with the appearance some years ago of the new T-matrix representation of the vacuum interaction energy. It allows to compute the Casimir force between objects of complicated shape with moderate computational effort. It is the aim of the present project to use the T-matrix representation as a method for the calculation of the vacuum interaction of topological solitons. Objects for the applications of this method are the known (1+1)-dimensional kinks and their lifting to domain walls, the interaction of vortex lines like Abrikosov-vortices, and of monopole solutions, the Skyrmion for instance.

拓扑孤立子是量子场论中最有趣的课题之一，它可以作为弦、畴壁和重子等扩展对象的模型。这些物体之间的相互作用，特别是相互散射，是由它们作为经典场的性质决定的。此外，由于量子场的真空涨落与拓扑孤子的背景耦合，还存在相互作用。这是一种真空相互作用，完全类似于导电表面之间的卡西米尔效应。由于中间步骤中存在固有的紫外发散以及去除它们的复杂程序，这种相互作用的研究迄今几乎是不可能的。随着几年前真空相互作用能的新T矩阵表示的出现，情况发生了变化。它允许计算Casimir力之间的物体的复杂形状与适度的计算工作。本课题的目的是利用T矩阵表示作为计算拓扑孤子真空相互作用的方法。这种方法的应用对象是已知的（1+1）维扭结和他们的提升域壁，涡线的相互作用，如Abrikosov涡，和非线性的解决方案，Skyrmion例如。

项目成果

Quantum vacuum energies and Casimir forces between partially transparent $\delta$-function plates

部分透明$delta$函数板之间的量子真空能量和卡西米尔力

• DOI: 10.1103/physrevd.87.105020
• 发表时间: 2013
• 期刊: Physical Review D
• 影响因子: 5
• 作者: J. M. C. Munoz-astaneda;J. Mateos Guilarte;A. Moreno Mosquera
• 通讯作者: A. Moreno Mosquera

Quantum vacuum interaction between two sine-Gordon kinks

两个正弦戈登扭结之间的量子真空相互作用

• DOI: 10.1088/1751-8113/45/37/374012
• 发表时间: 2012
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: M. Bordag;J.M. Munoz-Castaneda
• 通讯作者: J.M. Munoz-Castaneda

Quantum vacuum interaction between two cosmic strings revisited

重新审视两个宇宙弦之间的量子真空相互作用

• DOI: 10.1103/physrevd.89.065034
• 发表时间: 2014
• 期刊: Physical Review D
• 影响因子: 5
• 作者: J.M. Munoz-Castaneda;M. Bordag
• 通讯作者: M. Bordag