论文标题

Casimir边界,单孔和3+1尺寸紧凑型电动力学的转变

Casimir boundaries, monopoles, and deconfinement transition in 3+1 dimensional compact electrodynamics

论文作者

Chernodub, M. N., Goy, V. A., Molochkov, A. V., Tanashkin, A. S.

论文摘要

紧凑型U(1)在3+1尺寸中具有狭窄相,其特征是在足够大的粒子间分离时具有相反电荷的颗粒之间的电势升高。该限制是通过在强量规耦合处凝结的阿贝利亚单孔的凝结而产生的。我们研究了通常与Casimir效应相关的理想传导平行金属边界(板),在零温度理论中研究了单孔的性质和零温度理论中的脱凝结阶参数。使用紧凑型u(1)晶格量规理论中的第一原则数值模拟,我们表明,随着板之间的距离减小,板之间的真空经历了脱卷的过渡。获得量规耦合空间和平面间距离的相图。

Compact U(1) gauge theory in 3+1 dimensions possesses the confining phase, characterized by a linear raise of the potential between particles with opposite electric charges at sufficiently large inter-particle separation. The confinement is generated by condensation of Abelian monopoles at strong gauge coupling. We study the properties of monopoles and the deconfining order parameter in zero-temperature theory in the presence of ideally conducting parallel metallic boundaries (plates) usually associated with the Casimir effect. Using first-principle numerical simulations in compact U(1) lattice gauge theory, we show that as the distance between the plates diminishes, the vacuum in between the plates experiences a deconfining transition. The phase diagram in the space of the gauge coupling and the inter-plane distance is obtained.

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