arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2605.03341hep-th
收藏

规范不变非线性电动力学中的稳定洛伦兹破缺磁真空

Stable Magnetic Lorentz-Violating Vacua in Gauge-Invariant Nonlinear Electrodynamics

Universidad Autónoma Metropolitana-Iztapalapa(墨西哥自治大学伊斯塔帕拉帕分校)

E. Plácido-Flores, Román Linares, V. López, C. A. Escobar

AI总结:

研究Plebanski一阶哈密顿形式下的规范不变非线性电动力学,通过三个双参数模型证明稳定洛伦兹破缺磁真空的存在,并讨论哈密顿有界性与自发对称破缺的关系。

摘要:

我们在Plebanski一阶哈密顿形式下研究规范不变非线性电动力学,以单不变势$\hat V(P)$为主要对象。重点关注稳定洛伦兹破缺磁真空的存在性。对于三个显式双参数模型——有理非对称、对数和指数模型——我们确定了参数空间中非平凡常电磁真空与有下界有效哈密顿量和半正定Hessian相容的区域。在所有三种情况下,物理上允许的洛伦兹破缺真空都在磁分支中实现。我们进一步讨论电分支和几个额外的单参数模型,说明哈密顿有界性本身并不能确保自发洛伦兹对称破缺。我们还评论了对称破缺条件与已知强场因果性判据的关系。

英文摘要:

We investigate gauge-invariant nonlinear electrodynamics in the Plebański first-order Hamiltonian formulation, taking the single-invariant potential $\hat V(P)$ as the primary object. Our focus is on the existence of stable Lorentz-violating magnetic vacua. For three explicit two-parameter models -- rational asymmetric, logarithmic, and exponential -- we determine the regions of parameter space in which nontrivial constant electromagnetic vacua are compatible with an effective Hamiltonian bounded from below and a positive-semidefinite Hessian. In all three cases, physically admissible Lorentz-violating vacua are realized in the magnetic branch. We further discuss the electric branch and several additional one-parameter models, illustrating that Hamiltonian boundedness by itself does not ensure spontaneous Lorentz symmetry breaking. We also comment on how the symmetry-breaking conditions are related to known strong-field causality criteria.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑