Instability Induced Renormalization
Jean Alexandre, Vincenzo Branchina, Janos Polonyi
TL;DR
This paper investigates the renormalization group flow in models with condensates, revealing an infrared fixed point that simplifies phase structure and aligns with the Maxwell construction in the phi4 model.
Contribution
It derives and solves the tree level renormalization group equation for the phi4 model, uncovering an attractive infrared fixed point that impacts phase stability.
Findings
Identifies a nontrivial RG flow at tree level in models with condensates.
Finds an infrared fixed point that removes metastability.
Reproduces the Maxwell construction in the broken phase.
Abstract
It is pointed out that models with condensates have nontrivial renormalization group flow on the tree level. The infinitesimal form of the tree level renormalization group equation is obtained and solved numerically for the phi4 model in the symmetry broken phase. We find an attractive infrared fixed point that eliminates the metastable region and reproduces the Maxwell construction.
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