Boundary critical behavior of the Gross-Neveu-Yukawa model

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.

15 pages, 2 figures

References in corpus (28)

• The electronic properties of graphene
• Anderson Transitions
• Electronic States of Graphene Nanoribbons
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Boundary Conformal Field Theory and a Boundary Central Charge
• Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
• The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
• Effective field theory of the disordered Weyl semimetal
• Boundary critical behavior of the three-dimensional Heisenberg universality class
• Boundary multifractality at the integer quantum Hall plateau transition: implications for the critical theory
• Ising and Gross-Neveu model in next-to-leading order
• The Gross-Neveu-Yukawa Archipelago
• Boundary Criticality of the 3D O($N$) Model: From Normal to Extraordinary
• Multifractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class
• Boundary criticality and multifractality at the 2D spin quantum Hall transition
• Fermions in AdS and Gross-Neveu BCFT
• Fermions in Boundary Conformal Field Theory : Crossing Symmetry and $\epsilon$-Expansion
• Boundary multifractality in critical 1D systems with long-range hopping
• New Quantum Transition in Weyl Semimetals with Correlated Disorder
• XY* transition and extraordinary boundary criticality from fractional exciton condensation in quantum Hall bilayer
• Corner Multifractality for Reflex Angles and Conformal Invariance at 2D Anderson Metal-Insulator Transition with Spin-Orbit Scattering
• Quantum extraordinary-log universality of boundary critical behavior
• Massless Fermions on a half-space: The curious case of 2+1-dimensions
• Generalized surface multifractality in 2D disordered systems
• Surface quantum critical phenomena in disordered Dirac semimetals
• Boundary and defect criticality in topological insulators and superconductors
• Boundary multifractality in the spin quantum Hall symmetry class with interaction
• Boundary criticality for the Gross-Neveu-Yukawa models