标题： 热核方法在重叠形式主义中的应用 显示英文标题

标题： Heat-Kernel Approach to the Overlap Formalism

摘要： 我们提出了一种新的正则化方法，用于d维（欧几里得）连续量子场论，基于（1+d）维时空中的域壁构型。 该方法受到最近格点上手征费米子进展的启发。 墙的“高度”由1/M给出，其中M是正则化质量参数，并作为（1+d）维狄拉克费米子的质量出现。 当前方法为格点场论中的域壁或重叠形式主义提供了一个{\it 热力学观点}。 我们将展示当前连续结果与格点结果之间的定性对应关系。 额外维度被视为（逆向）{\it 温度} t。区域由“系统演化”的{\it 方向}定义，而不是原始重叠形式主义中的M符号。 我们以4维QED和2维手征规范理论为例。 特别是，一致性和协变反常被正确获得。 显示英文摘要

摘要： We present a new regularization method, for d dim (Euclidean) quantum field theories in the continuum formalism, based on the domain wall configuration in (1+d) dim space-time. It is inspired by the recent progress in the chiral fermions on lattice. The wall "height" is given by 1/M, where M is a regularization mass parameter and appears as a (1+d) dim Dirac fermion mass. The present approach gives a {\it thermodynamic view} to the domain wall or the overlap formalism in the lattice field theory. We will show qualitative correspondence between the present continuum results and those of lattice. The extra dimension is regarded as the (inverse) {\it temperature} t. The domains are defined by the {\it directions} of the "system evolvement", not by the sign of M as in the original overlap formalism. We take the 4 dim QED and 2 dim chiral gauge theory as examples. Especially the consistent and covariant anomalies are correctly obtained.