Quarks with twisted boundary conditions in the epsilon regime
- 12 July 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 72 (1) , 014501
- https://doi.org/10.1103/physrevd.72.014501
Abstract
We study the effects of twisted boundary conditions on the quark fields in the epsilon regime of chiral perturbation theory. We consider the chiral theory with nondegenerate quarks and the chiral theory with massless up and down quarks and massive strange quarks. The partition function and condensate are derived for each theory. Because flavor-neutral Goldstone bosons are unaffected by twisted boundary conditions chiral symmetry is still restored in finite volumes. The dependence of the condensate on the twisting parameters can be used to extract the pion decay constant from simulations in the epsilon regime. The relative contribution to the partition function from sectors of different topological charge is numerically insensitive to twisted boundary conditions.
Keywords
All Related Versions
This publication has 48 references indexed in Scilit:
- Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N?Physics Letters B, 2003
- Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factorsNuclear Physics B, 2003
- Panel discussion on chiral extrapolation of physical observablesNuclear Physics B - Proceedings Supplements, 2003
- K → ππ decay amplitudes from the latticeNuclear Physics B - Proceedings Supplements, 2003
- Proposal for the numerical solution of planar QCDPhysical Review D, 2002
- Moments of parton evolution probabilities on the lattice within the Schrödinger functional schemeNuclear Physics B, 1999
- Chiral symmetry and O(a) improvement in lattice QCDNuclear Physics B, 1996
- C- and G-periodic QCD at finite temperatureNuclear Physics B, 1992
- Gauge theories with imaginary chemical potential and the phases of QCDNuclear Physics B, 1986
- A quenched momentum prescription for large-N theoriesNuclear Physics B, 1982