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Quarks with twisted boundary conditions in the epsilon regime

Publication ,  Journal Article
Mehen, T; Tiburzi, BC
Published in: Physical Review D - Particles, Fields, Gravitation and Cosmology
July 1, 2005

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. © 2005 The American Physical Society.

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Published In

Physical Review D - Particles, Fields, Gravitation and Cosmology

DOI

EISSN

1550-2368

ISSN

1550-7998

Publication Date

July 1, 2005

Volume

72

Issue

1

Start / End Page

1 / 9

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5101 Astronomical sciences
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
 

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Mehen, T., & Tiburzi, B. C. (2005). Quarks with twisted boundary conditions in the epsilon regime. Physical Review D - Particles, Fields, Gravitation and Cosmology, 72(1), 1–9. https://doi.org/10.1103/PhysRevD.72.014501
Mehen, T., and B. C. Tiburzi. “Quarks with twisted boundary conditions in the epsilon regime.” Physical Review D - Particles, Fields, Gravitation and Cosmology 72, no. 1 (July 1, 2005): 1–9. https://doi.org/10.1103/PhysRevD.72.014501.
Mehen T, Tiburzi BC. Quarks with twisted boundary conditions in the epsilon regime. Physical Review D - Particles, Fields, Gravitation and Cosmology. 2005 Jul 1;72(1):1–9.
Mehen, T., and B. C. Tiburzi. “Quarks with twisted boundary conditions in the epsilon regime.” Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 72, no. 1, July 2005, pp. 1–9. Scopus, doi:10.1103/PhysRevD.72.014501.
Mehen T, Tiburzi BC. Quarks with twisted boundary conditions in the epsilon regime. Physical Review D - Particles, Fields, Gravitation and Cosmology. 2005 Jul 1;72(1):1–9.

Published In

Physical Review D - Particles, Fields, Gravitation and Cosmology

DOI

EISSN

1550-2368

ISSN

1550-7998

Publication Date

July 1, 2005

Volume

72

Issue

1

Start / End Page

1 / 9

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5101 Astronomical sciences
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences