Fixed Point Structure of Gradient Flow Exact Renormalization Group for Scalar Field Theories
Fixed Point Structure of Gradient Flow Exact Renormalization Group for Scalar Field Theories
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DOI：
10.1093/ptep/ptac021
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发表时间：
2022-01
期刊：
影响因子：
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通讯作者：
Y. Abe;Yuta Hamada;Junichi Haruna
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文献类型：
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作者：
Y. Abe;Yuta Hamada;Junichi Haruna
梯度流精确重整化组（GFERG）是一个通过梯度流方程定义Wilson作用的框架。研究了标量场理论中与一般梯度流方程相关的GFERG方程的不动点结构，并证明了它与常规WP方程的不动点结构一般相同。此外，我们讨论了GFERG方程具有与WP方程相似的围绕不动点的RG流结构。我们用4−ε维的O (N)非线性sigma模型和Wilson-Fisher不动点来说明这些结果。
: Gradient Flow Exact Renormalization Group (GFERG) is a framework to define the Wilson action via a gradient flow equation. We study the fixed point structure of the GFERG equation associated with a general gradient flow equation for scalar field theories and show that it is the same as that of the conventional Wilson-Polchinski (WP) equation in general. Furthermore, we discuss that the GFERG equation has a similar RG flow structure around a fixed point to the WP equation. We illustrate these results with the O ( N ) non-linear sigma model in 4 − ϵ dimensions and the Wilson-Fisher fixed point.