Dynamics of the Scalar Condensate in thermal 4D self-interacting Scalar Field Theory on the Lattice

TL;DR

This paper investigates the behavior of a four-dimensional self-interacting scalar field theory at finite temperature using lattice simulations, revealing phase transition characteristics and renormalization behavior near criticality.

Contribution

It provides new insights into the temperature dependence of field and wave-function renormalizations during phase transitions in lattice scalar field theories.

Findings

Zero-momentum field renormalization increases near critical temperature.

Finite-momentum wave-function renormalization remains constant across temperature changes.

System undergoes a phase transition from broken to symmetric phase.

Abstract

We simulate a four dimensional self-interacting scalar field theory on the lattice at finite temperature. By varying temperature, the system undergoes a phase transition from broken phase to symmetric phase. Our data show that the zero-momentum field renormalization increases by approaching critical temperature. On the other hand, finite-momentum wave-function renormalization remains remarkably constant.