FRG Approach to Nuclear Matter at Extreme Conditions

TL;DR

This paper applies the functional renormalization group method to nuclear matter models under extreme conditions, deriving an equation of state and exploring implications for compact star properties.

Contribution

It introduces a FRG-based approach with Maxwell construction for Walecka-type nuclear matter models, advancing the understanding of quantum fluctuations in extreme environments.

Findings

Derived a Maxwell construction within the FRG framework

Obtained an equation of state incorporating quantum fluctuations

Initiated analysis of star properties using the FRG approach

Abstract

Functional renormalization group (FRG) is an exact method for taking into account the effect of quantum fluctuations in the effective action of the system. The FRG method applied to effective theories of nuclear matter yields equation of state which incorporates quantum fluctuations of the fields. Using the local potential approximation (LPA) the equation of state for Walecka-type models of nuclear matter under extreme conditions could be determined. These models can be tested by solving the corresponding Tolman--Oppenheimer--Volkov (TOV) equations and investigating the properties (mass and radius) of the corresponding compact star models. Here, we present the first steps on this way, we obtained a Maxwell construction within the FRG-based framework using a Walecka-type Lagrangian.