论文标题
带有一阶操作员插入的热核跟踪的路径积分计算
Path integral calculation of heat kernel traces with first order operator insertions
论文作者
论文摘要
我们使用路径积分表示，研究了广义的热核系数，它们以插入一阶差分算子插入的热核的痕迹出现。这些系数可用于研究引力异常，即应力张量的静电异常。我们使用路径积分方法来计算与非亚洲仪表背景中理论引力异常相关的系数，以及维度2、4和6的平坦空间。在4个维度中，人们不希望具有真正的引力异常。但是，可以通过未能保留相应对称性的正则化方案在中间阶段诱导它们。最近出现了一种感兴趣的案例，研究了Weyl Fermions的痕量异常。
We study generalized heat kernel coefficients, which appear in the trace of the heat kernel with an insertion of a first-order differential operator, by using a path integral representation. These coefficients may be used to study gravitational anomalies, i.e. anomalies in the conservation of the stress tensor. We use the path integral method to compute the coefficients related to the gravitational anomalies of theories in a non-abelian gauge background and flat space of dimensions 2, 4, and 6. In 4 dimensions one does not expect to have genuine gravitational anomalies. However, they may be induced at intermediate stages by regularization schemes that fail to preserve the corresponding symmetry. A case of interest has recently appeared in the study of the trace anomalies of Weyl fermions.
