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Modeling pion physics in the epsilon-regime of two-flavor QCD using strong coupling lattice QED

Publication ,  Journal Article
Cecile, DJ; Chandrasekharan, S
Published in: Phys. Rev. D
2007

In order to model pions of two-flavor QCD we consider a lattice field theory involving two flavors of staggered quarks interacting strongly with U(1) gauge fields. For massless quarks, this theory has an $SU_L(2)\times SU_R(2) \times U_A(1)$ symmetry. By adding a four-fermion term we can break the U_A(1) symmetry and thus incorporate the physics of the QCD anomaly. We can also tune the pion decay constant F, to be small compared to the lattice cutoff by starting with an extra fictitious dimension, thus allowing us to model low energy pion physics in a setting similar to lattice QCD from first principles. However, unlike lattice QCD, a major advantage of our model is that we can easily design efficient algorithms to compute a variety of quantities in the chiral limit. Here we show that the model reproduces the predictions of chiral perturbation theory in the $\epsilon$-regime.

Duke Scholars

Published In

Phys. Rev. D

Publication Date

2007

Volume

77

Start / End Page

014506

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
 

Citation

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Cecile, D. J., & Chandrasekharan, S. (2007). Modeling pion physics in the epsilon-regime of two-flavor QCD using strong coupling lattice QED. Phys. Rev. D, 77, 014506.
Cecile, D. J., and S. Chandrasekharan. “Modeling pion physics in the epsilon-regime of two-flavor QCD using strong coupling lattice QED.” Phys. Rev. D 77 (2007): 014506.
Cecile, D. J., and S. Chandrasekharan. “Modeling pion physics in the epsilon-regime of two-flavor QCD using strong coupling lattice QED.” Phys. Rev. D, vol. 77, 2007, p. 014506.

Published In

Phys. Rev. D

Publication Date

2007

Volume

77

Start / End Page

014506

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