CHIRALLY EXTENDED QUANTUM CHROMODYNAMICS

Richard C. Brower, Yue Shen and Chung-I Tan
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Richard C. Brower: Department of Physics, Boston University, Boston, MA 02215, USA
Yue Shen: Department of Physics, Boston University, Boston, MA 02215, USA
Chung-I Tan: Department of Physica, Brown University, Providence, RI 02912, USA

International Journal of Modern Physics C (IJMPC), 1995, vol. 06, issue 05, 725-742

Abstract: We propose an extended Quantum Chromodynamics (XQCD) Lagrangian in which the fermions are coupled to elementary scalar fields through a Yukawa coupling which preserves chiral invariance. Our principle motivation is to find a new lattice formulation for QCD which avoids the source of critical slowing down usually encountered as the bare quark mass is tuned to the chiral limit. The phase diagram and the weak coupling limit for XQCD are studied. They suggest a conjecture that the continuum limit of XQCD is the same as the continuum limit of conventional lattice formulation of QCD. As examples of such universality, we present the largeNsolutions of two prototype models for XQCD, in which the mass of the spurious pion and sigma resonance go to infinity with the cut-off. Even if the universality conjecture turns out to be false, we believe that XQCD will still be useful as a low energy effective action for QCD phenomenology on the lattice. Numerical simulations are recommended to further investigate the possible benefits of XQCD in extracting QCD predictions.

Date: 1995
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DOI: 10.1142/S0129183195000599

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