论文标题

手性物质中的磁性单极和费米数违反

Magnetic monopoles and fermion number violation in chiral matter

论文作者

Yamamoto, Naoki

论文摘要

我们表明,在位置空间中存在磁性单极的存在导致违反手性质的费米数守恒。使用手性动力学理论,我们得出了这种违规的模型独立于手性费米体的多体系统。在有限温度和化学势下的局部热平衡中,这种违规与具有拓扑量化的系数的化学电位成正比。这些后果是由于位置空间中的狄拉克单极与浆果单管之间的相互作用所致。我们的机制可以应用于研究磁单孔在早期宇宙非平衡演化中的作用。

We show that the presence of a magnetic monopole in position space gives rise to a violation of the fermion number conservation in chiral matter. Using the chiral kinetic theory, we derive a model-independent expression of such a violation in nonequilibrium many-body systems of chiral fermions. In local thermal equilibrium at finite temperature and chemical potential, in particular, this violation is proportional to the chemical potential with a topologically quantized coefficient. These consequences are due to the interplay between the Dirac monopole in position space and the Berry monopole in momentum space. Our mechanism can be applied to study the roles of magnetic monopoles in the nonequilibrium evolution of the early Universe.

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