论文标题

非亚伯五维的Chern-Simons术语的非分析性

Nonanalyticity of the nonabelian five-dimensional Chern-Simons term

论文作者

Assunção, J. F., Furtado, J., Mariz, T.

论文摘要

在这项工作中,我们研究了有限温度状态下非亚伯五维的Chern-Simons项的行为,以验证可能的非分析性。我们采用两种方法,一种扰动和一种非扰动方法。 No scheme of regularization is needed, and we verify the nonanalyticity of the self-energy of the photon in the origin of momentum space by two conditions that do not commute, namely, the static limit $(k_0=0,\vec k\rightarrow 0)$ and the long wavelength limit $(k_0\rightarrow 0,\vec k= 0)$, while its tensorial structure holds in both limits.

In this work, we study the behavior of the nonabelian five-dimensional Chern-Simons term at finite temperature regime in order to verify the possible nonanalyticity. We employ two methods, a perturbative and a non-perturbative one. No scheme of regularization is needed, and we verify the nonanalyticity of the self-energy of the photon in the origin of momentum space by two conditions that do not commute, namely, the static limit $(k_0=0,\vec k\rightarrow 0)$ and the long wavelength limit $(k_0\rightarrow 0,\vec k= 0)$, while its tensorial structure holds in both limits.

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