Theta vacuum effects on the chiral condensation and the eta^prime meson correlators in the two-flavor massive QED_2 on the lattice

Abstract

We study the scalar and pseudoscalar condensations and the eta^prime meson correlators of the two-flavor massive Schwinger model in the non-zero theta vacuum. Exploiting our new method which was developed to investigate topological effects in the previous work, we find that the pseudoscalar condensation is non-zero and there exists a long-range correlation of the eta^prime meson. This phenomenon is well described by the clustering property. We also find that even in theta=0 case the cancellation of the long-range correlation is nontrivial and requires accurate contributions from higher topological sectors. Our results imply that the fluctuation of the ``disconnected'' diagram originates from the pseudoscalar condensation in each topological sector.

12 pages,15 figures, one reference added, minor corrections

References in corpus (3)

• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Topological susceptibility with the improved Asqtad action
• Discretisation effects in the topological susceptibility in lattice QCD

Cited by in corpus (22)

• Finite volume QCD at fixed topological charge
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• Two-dimensional N=(2,2) super Yang-Mills theory on the lattice via dimensional reduction
• Topological Lattice Actions
• Topological susceptibility with the asqtad action
• Chiral perturbation theory in a theta vacuum
• Topology conserving gauge action and the overlap-Dirac operator
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
• The index of the overlap Dirac operator on a discretized 2d non-commutative torus
• On the renormalization of the bosonized multi-flavor Schwinger model
• Exploring Topology Conserving Gauge Actions for Lattice QCD
• Simulation strategies for the massless lattice Schwinger model in the dual formulation
• Probability distribution of the index in gauge theory on 2d non-commutative geometry
• Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\theta =\pi$ with Lüscher's admissibility condition
• Lattice QCD with fixed topology
• Massive Schwinger model with a finite inductance: theta-(in)dependence, the U(1) problem, and low-energy theorems
• Pseudoscalar flavor-singlets and staggered fermions
• Parameter dependence of the topology change and the scaling properties of the topology conserving gauge action
• Theta vacuum effects on the pseudoscalar condensates and the eta^prime meson in 2-dimensional lattice QED
• Theta vacuum physics from QCD at fixed topology
• Grassmann tensor renormalization group for the massive Schwinger model with a $\theta$ term using staggered fermions
• Pseudoscalar singlet physics with staggered fermions