Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a θ term
Yoshinobu Kuramashi, Yusuke Yoshimura
Abstract
A bstract We make an analysis of the two-dimensional U(1) lattice gauge theory with a θ term by using the tensor renormalization group. Our numerical result for the free energy shows good consistency with the exact one at finite coupling constant. The topological charge density generates a finite gap at θ = π toward the thermodynamic limit. In addition finite size scaling analysis of the topological susceptibility up to V = L × L = 1024 × 1024 allows us to determine the phase transition at θ = π is the first order.
Topics & Concepts
PhysicsLattice gauge theoryTopological quantum numberLattice field theoryRenormalization groupGauge theoryTensor (intrinsic definition)Lattice (music)Mathematical physicsScalingHamiltonian lattice gauge theoryRenormalizationLattice model (finance)Quantum electrodynamicsFunctional renormalization groupDensity matrix renormalization groupRegularization (linguistics)Phase transitionStress–energy tensorTheoretical physicsYang–Mills theoryQuantum gauge theoryCritical phenomenaCharge (physics)Coupling constantQuantum mechanicsTerm (time)Coupling (piping)Lattice QCDCharge densityGauge (firearms)U-1Tensor fieldExact solutions in general relativityQuantum many-body systemsQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical Physics