Quarks with twisted boundary conditions in the epsilon regime

Phys. Rev. D 72, 014501 – Published 12 July 2005
Thomas Mehen and Brian C. Tiburzi

Abstract

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)L×SU(2)R chiral theory with nondegenerate quarks and the SU(3)L×SU(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.

DOI: http://dx.doi.org/10.1103/PhysRevD.72.014501

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  • Received 18 May 2005
  • Published 12 July 2005

© 2005 The American Physical Society

Authors & Affiliations

Thomas Mehen1,2,3,* and Brian C. Tiburzi1,3,†

  • 1Department of Physics, Duke University, Durham, North Carolina 27708, USA
  • 2Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
  • 3Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195, USA

  • *Electronic address: mehen@phy.duke.edu
  • Electronic address: bctiburz@phy.duke.edu

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