Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-08-03
Phys.Rev.D77:014506,2008
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages, 7 figures
Scientific paper
10.1103/PhysRevD.77.014506
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.
Cecile D. J.
Chandrasekharan Shailesh
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