The antiferromagnetic phi4 Model, II. The one-loop renormalization

TL;DR

This paper analyzes the four-dimensional antiferromagnetic lattice phi4 model, demonstrating its non-asymptotically free scaling behavior near the critical point and deriving an effective continuum theory for low energies.

Contribution

It provides a detailed one-loop renormalization analysis of the antiferromagnetic phi4 model, revealing its scaling law and continuum limit properties.

Findings

The model exhibits non-asymptotically free scaling in the UV regime.

A continuum effective theory for low energies is derived.

The theory describes both scalar and pseudoscalar particles.

Abstract

It is shown that the four dimensional antiferromagnetic lattice phi4 model has the usual non-asymptotically free scaling law in the UV regime around the chiral symmetrical critical point. The theory describes a scalar and a pseudoscalar particle. A continuum effective theory is derived for low energies. A possibility of constructing a model with a single chiral boson is mentioned.