Quarks with twisted boundary conditions in the epsilon regime
- 1. Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195 (United States)
- 2. Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)
- 3. Department of Physics, Duke University, Durham, North Carolina 27708 (United States)
Description
We study the effects of twisted boundary conditions on the quark fields in the epsilon regime of chiral perturbation theory. We consider the SU(2)LxSU(2)R chiral theory with nondegenerate quarks and the SU(3)LxSU(3)R 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
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.72.014501;
- arXiv
- arXiv:hep-lat/0505014v2;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 72
- Journal Issue
- 1
- Journal Page Range
- p. 014501-014501.9
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37025437
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BOUNDARY CONDITIONS; CHIRAL SYMMETRY; CHIRALITY; COMPUTERIZED SIMULATION; D QUARKS; GOLDSTONE BOSONS; LATTICE FIELD THEORY; PARTICLE DECAY; PARTITION FUNCTIONS; PIONS; QUANTUM CHROMODYNAMICS; S QUARKS; SU-2 GROUPS; SU-3 GROUPS; TOPOLOGY
- Descriptors DEC
- BOSONS; CONSTRUCTIVE FIELD THEORY; DECAY; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; FUNCTIONS; HADRONS; LIE GROUPS; MATHEMATICS; MESONS; PARTICLE PROPERTIES; POSTULATED PARTICLES; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; QUARKS; SIMULATION; STRANGE PARTICLES; SU GROUPS; SYMMETRY; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2005 The American Physical Society