论文标题
大规模标量场理论的无质量减法
Masslesslike minimal subtraction for massive scalar field theory
论文作者
论文摘要
我们引入了使用$ O（n）$内部对称性的大量$ λϕ^{4} $ field理论的最简单最小减法方法，该方法类似于使用两个步骤应用于质量字段的相同方法。首先，在两点顶点部分的每个图中的局部-P $操作的利用率分别分别为平方质量和外部动量总和，并具有不同的系数。然后，使用{\ IT参数分离转换}，可以完全根据质量来解决二次质量系数的循环积分。它包括选择一组固定值的Feynman参数的一组固定值，该值在求解了内部子图后剩余的循环积分内替换了。我们使用带有欧几里得签名的平面度量的临界指数的示意计算中的图表计算。
We introduce the simplest minimal subtraction method for massive $λϕ^{4}$ field theory with $O(N)$ internal symmetry, which resembles the same method applied to massless fields by using two steps. First, the utilization of the partial-$p$ operation in every diagram of the two-point vertex part in order to separate it into a sum of squared mass and external momentum, respectively, with different coefficients. Then, the loop integral which is the coefficient of the quadratic mass can be solved entirely in terms of the mass, no longer depending upon the external momentum, using the {\it parametric dissociation transform}. It consists in the choice of a certain set of fixed values of Feynman parameters replaced inside the remaining loop integral after solving the internal subdiagrams. We check the results in the diagrammatic computation of critical exponents at least up to two-loop order using a flat metric with Euclidean signature.
