Four-dimensional Yang-Mills theory with a three-dimensional fermion membrane

Abstract

We study the four-dimensional Yang-Mills theory in the presence of a three-dimensional membrane of fermions by lattice Monte Carlo simulations. We analyze the phase structure of this theory at finite temperature. Below the phase transition temperature of the pure Yang-Mills theory, we obtain an unconventional phase with spatially-nonuniform vacuum. In this phase, the expectation value of the Polyakov loop is finite on the membrane, and it exponentially decays to zero outside the membrane.

References in corpus (15)

• The electronic properties of graphene
• Large N Field Theories, String Theory and Gravity
• A Method for Simulating Chiral Fermions on the Lattice
• Is graphene in vacuum an insulator?
• Conformality Lost
• Lattice field theory simulations of graphene
• Quantum Critical Behaviour in a Graphene-like Model
• Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED
• Monte Carlo Simulation of the Semimetal-Insulator Phase Transition in Monolayer Graphene
• Random matrix theory and $QC{D}_3$
• Critical exponents of the semimetal-insulator transition in graphene: A Monte Carlo study
• Chiral Gap and Collective Excitations in Monolayer Graphene from Strong Coupling Expansion of Lattice Gauge Theory
• A Quark-Antiquark Condensate in Three-Dimensional QCD
• Two dimensional fermions in four dimensional YM
• Two dimensional fermions in three dimensional YM