单极子裂变
Monopole fission
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中文总结 AI 辅助
本文研究SU(2) BPS单极子在希格斯势引入后，因对称性破缺扰动导致的裂变现象，并通过数值演化梯度流方程，发现其结果类似于测地线近似下的散射过程。
中文摘要 AI 辅助
存在一个4N维的SU(2) BPS单极子（电荷为N）的模空间，但引入希格斯势会消除这种简并性，并在单极子之间产生排斥力。然而，如果BPS单极子模空间中的某一点具有足够的对称性，那么一旦引入希格斯势，它就会流到一个类似的非BPS鞍点解。单极子裂变，即分裂成具有较低电荷的组成单极子，是由这种鞍点解的对称性破缺扰动引起的。本文通过演化杨-米尔斯-希格斯理论的梯度流方程，并利用黎曼球之间的有理映射生成初始条件和对称性破缺扰动，对裂变进行了数值研究。结果与在低速单极子动力学的测地线近似中获得的BPS单极子散射过程的组成部分相似。
英文摘要
There is a 4N-dimensional moduli space of SU(2) BPS monopoles with charge N, but introducing a Higgs potential removes this degeneracy and yields a repulsive force between monopoles. However, if a point in the BPS monopole moduli space is sufficiently symmetric, then it flows to a similar non-BPS saddle point solution once the Higgs potential is introduced. Monopole fission, into constituent monopoles with lower charges, results from symmetry breaking perturbations of such saddle point solutions. This fission is investigated numerically, by evolving the gradient flow equations of the Yang-Mills-Higgs theory, with initial conditions and symmetry breaking perturbations created using rational maps between Riemann spheres. The results resemble components of BPS monopole scattering processes obtained within the geodesic approximation for low speed monopole dynamics.
发表机构
- Durham University（杜伦大学）
机构由 AI 辅助整理，请以论文原文为准。
