论文标题
确切的重新归一化组形式主义中现有运营商的产品
Products of Current Operators in the Exact Renormalization Group Formalism
论文作者
论文摘要
鉴于在全球手性转变下的威尔逊动作不变，我们可以根据威尔逊动作来构建当前的复合操作员。当前运营商的多个产品中的短距离奇异性是由精确的重归其化组照顾的。 Ward-Takahashi的身份与威尔逊动作的有限动量截止。确切的重归其化组和沃德 - 塔卡哈西的身份共同决定了产品。作为一个具体的例子，我们研究了手性费米子的高斯定点威尔逊动作，以构建当前操作员的产品。
Given a Wilson action invariant under global chiral transformations, we can construct current composite operators in terms of the Wilson action. The short distance singularities in the multiple products of the current operators are taken care of by the exact renormalization group. The Ward-Takahashi identity is compatible with the finite momentum cutoff of the Wilson action. The exact renormalization group and the Ward-Takahashi identity together determine the products. As a concrete example, we study the Gaussian fixed-point Wilson action of the chiral fermions to construct the products of current operators.
