Approaching the conformal WZW behavior in the infrared limit of two-dimensional massless QCD: A lattice study
Nikhil Karthik (American Physical Society, Hauppauge, New York 11788, USA and Department of Physics, Florida International University, Miami, Florida 33199, USA); Rajamani Narayanan (Department of Physics, Florida International University, Miami, Florida 33199, USA); Sruthi A. Narayanan (Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada)
Two-dimensional QCD with colors and flavors of massless fermions in the fundamental representation is expected to exhibit conformal behavior in the infrared governed by a Wess–Zumino–Witten model with level . Using numerical analysis within the lattice formalism with exactly massless overlap fermions, we show the emergence of such behavior in the infrared limit. Both the continuum extrapolated low-lying eigenvalues of the massless Dirac operator and the propagator of scalar mesons exhibit a flow from the ultraviolet to the infrared. We find that the amplitude of the conserved current correlator remains invariant under the flow, while the amplitude of the scalar correlator approaches -independent values in the infrared.
