论文标题

使用威尔逊流量的三维标量$ su(n)$的能量巨头张量的重新归一化

Renormalization of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow

论文作者

Del Debbio, Luigi, Dobson, Elizabeth, Jüttner, Andreas, Kitching-Morley, Ben, Lee, Joseph K. L., Nourry, Valentin, Portelli, Antonin, Rocha, Henrique Bergallo, Skenderis, Kostas

论文摘要

能量量张量的非扰动确定对于理解强耦合系统的物理学至关重要。威尔逊流量消除发散接触项的能力使其成为重新归一化晶格上能量量张量的实用方法。在本文中,我们利用威尔逊流来定义一种程序,以在$ su(n)$的伴随中使用$φ^4 $相互作用的三维无质量标量场的能量量张量。在这个理论中,能量量张量可以与$φ^2 $混合,我们为$ n = 2 $理论的混合系数提供了数值结果。

A nonperturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson flow to eliminate divergent contact terms makes it a practical method for renormalizing the energy-momentum tensor on the lattice. In this paper, we utilize the Wilson flow to define a procedure to renormalize the energy-momentum tensor for a three-dimensional massless scalar field in the adjoint of $SU(N)$ with a $φ^4$ interaction on the lattice. In this theory the energy-momentum tensor can mix with $φ^2$ and we present numerical results for the mixing coefficient for the $N=2$ theory.

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