Boundary critical behavior of the Gross-Neveu-Yukawa model

TL;DR

This paper investigates the boundary critical behavior of the Gross-Neveu-Yukawa model, analyzing phase diagrams, fixed points, and boundary exponents for different boundary conditions, with implications for related pseudoscalar models.

Contribution

It provides a comprehensive analysis of boundary critical phenomena in the Gross-Neveu-Yukawa model, including boundary conditions, fixed points, and one-loop boundary exponents, extending understanding of boundary universality classes.

Findings

Identified distinct boundary fixed points and universality classes.

Computed boundary critical exponents to one-loop order.

Analyzed the phase diagram and crossover phenomena for boundary conditions.

Abstract

We study the critical behavior of the semi-infinite Gross-Neveu-Yukawa model, a quantum field theory describing Dirac fermions interacting with bosonic fields via a Yukawa coupling. We consider Neumann and Dirichlet boundary conditions for the bosonic fields, and the most general boundary conditions for the fermions that preserve unitarity, conformal invariance, and charge conjugation symmetry. We analyze the phase diagram and identify distinct fixed points corresponding to different universality classes of boundary critical behavior. The associated boundary critical exponents, which govern the scaling behavior and crossover phenomena, are computed to one-loop order. We also discuss the relevance of our results to the semi-infinite pseudoscalar Yukawa model.