Theta vacuum physics from QCD at fixed topology

Abstract

We propose a method to obtain physical quantities in the theta vacuum from those at fixed topology, which are different by finite size effects. Extending the work by Brower et al., we derive the formula to estimate these finite size corrections for arbitrary correlators in terms of the topological susceptibility and the theta dependence. Applying this formula, we show that topological susceptibility can be measured through two-point functions of pseudoscalar operator.

7 pages, 2 figures, talk presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4, 2007, Regensburg, Germany

References in corpus (13)

• Theta dependence of SU(N) gauge theories
• Finite volume QCD at fixed topological charge
• Critical slowing down of topological modes
• Lattice gauge action suppressing near-zero modes of H_W
• Topological effects in QCD and the problem of short-distance singularities
• Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• pi pi scattering
• Theta vacuum effects on the chiral condensation and the eta^prime meson correlators in the two-flavor massive QED_2 on the lattice
• Improvement of algorithms for dynamical overlap fermions
• Dynamical overlap fermion at fixed topology
• B_K with dynamical overlap fermions
• Mobility edge and locality of the overlap-Dirac operator with and without dynamical overlap fermions