论文标题

纯量规QED中的Schwinger功能,限制和阳性违反

The Schwinger function, confinement and positivity violation in pure gauge QED

论文作者

Loveridge, Lee C., Oliveira, Orlando, Silva, Paulo J.

论文摘要

晶格正规化的纯量规u(1)理论是一个理想的实验室,可以探索如何实现限制,因为其相图具有一个限制和一个解义相位,取决于耦合常数的值,即$β$。在此研究,研究了与Landau仪表光子传播器相关的Schwinger功能侵犯阳性和阳性侵犯之间的联系。该模拟报告显示,限制的实现与光子schwinger功能的阳性侵犯与光子källén-Lehmann光谱密度之间的阳性之间非常明确的联系。此外,计算并用来区分理论的两个阶段,以表征schwinger函数衰减的质量尺度。

The lattice regularized pure gauge compact U(1) theory is an ideal laboratory to explore how confinement is realized as its phase diagram has a confined and a deconfined phase that depends on the value of the coupling constant, i.e. on $β$. Herein, the connection between confinement and positivity violation through the Schwinger function associated with the Landau gauge photon propagator is investigated. The simulations reported show a very clear link between the realization of confinement and positivity violation of the photon Schwinger function and, therefore, of the photon Källén-Lehmann spectral density. Furthermore, a mass scale that characterizes the decay of the Schwinger function for small time separations is computed and used to distinguish the two phases of the theory.

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