2024/03/09 by Garry Goldstein, Goldstein, Garry · 1 citation
Physics and Astronomy · Economics, Econometrics and Finance · #Advanced Thermodynamics and Statistical Mechanics #Economic theories and models
paper · pdf · doi:10.48550/arxiv.2403.12085
In this work we re-examine the Wilson Fisher fixed point. We study Wilsonian momentum space renormalization group (RG) flow for various forms of the cutoff. We show that already at order (4-d)1, where d is the dimension of the ϕ4 theory, there are changes to the position of the fixed point and the direction of irrelevant coupling parameters. We also show in a multi-flavor ϕ4 model that symmetries of the Lagrange function can be destroyed if the different flavors have different cutoffs (that is the Lagrangian can flow to a non-symmetric fixed point). Some related comments are made about a similar situation in parquet RG (pRG). In future works we will study Wilsonian RG to order (4-d)2 and find non-universal critical exponents that depend on the cutoff.