Phase Diagram of An SU(2)xSU(2) Scalar-Fermion Model with Massless Decoupled Doublers

TL;DR

This paper explores the phase diagram of a chiral SU(2)xSU(2) scalar-fermion lattice model, revealing four distinct phases and their intersection, supported by numerical and analytical methods.

Contribution

It provides the first detailed phase diagram of this model using the Zaragoza proposal, combining numerical simulations with analytical expansions.

Findings

Four phases identified: PM, FM, AFM, FI

Transition lines intersect at a quadruple point

Numerical results agree with analytical predictions

Abstract

We present the phase structure of the chiral SU(2)xSU(2) scalar-fermion model on the lattice using the Zaragoza proposal for chiral fermions. The numerical result agrees with an analytic study based on the use of weak and strong Yukawa coupling expansions combined with the mean field approach. The phase diagram consits of four phases: paramagnetic(PM), ferromagnetic(FM), antiferromagnetic(AFM) and ferrimagnetic (FI). The transition lines separating these four phases intersect at one quadruple point.