Phase of the fermion determinant in QED$_3$ using a gauge invariant lattice regularization
Phase of the fermion determinant in QED$_3$ using a gauge invariant lattice regularization
复制标题
使用规范不变晶格正则化的 QED$_3$ 中费米子行列式的相位
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
R. Narayanan
中科院分区：
文献类型：
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作者：
Nikhil Karthik;R. Narayanan
我们使用正则形式主义来研究在不同的三维阿贝尔规范场背景中的费米子行列式，这些规范场包含非零磁通量和电通量，以理解非微扰对相位奇偶奇部分和奇偶偶部分的贡献。我们表明，与自由费米子传播沿着一个封闭的路径在动量环中的某个阶段是负责的宇称异常的背景与非零的电通量。我们考虑在非零磁通量的背景周围的扰动，以了解在有限的温度和质量的宇称破缺微扰项的结构。
We use canonical formalism to study the fermion determinant in different three dimensional abelian gauge field backgrounds that contain non-zero magnetic and electric flux in order to understand the non-perturbative contributions to the parity-odd and parity-even parts of the phase. We show that a certain phase associated with free fermion propagation along a closed path in a momentum torus is responsible for the parity anomaly in a background with non-zero electric flux. We consider perturbations around backgrounds with non-zero magnetic flux to understand the structure of the parity-breaking perturbative term at finite temperature and mass.