Chiral limit of 2d QCD revisited with lightcone conformal truncation
Nikhil Anand (Department of Physics, McGill University, Montréal, QC, H3A 2T8, Canada); A. Fitzpatrick (Department of Physics, Boston University, Boston, MA, 02215, USA); Emanuel Katz (Department of Physics, Boston University, Boston, MA, 02215, USA); Yuan Xin (Department of Physics, Yale University, New Haven, CT, 06520, USA)
We study the chiral limit of 2d QCD with a single quark flavor at finite N c using LCT. By modifying the LCT basis according to the quark mass in a manner motivated by ’t Hooft’s analysis, we are able to restore convergence for quark masses much smaller than the QCD strong coupling scale. For such small quark masses, the IR of the theory is expected to be well described by the Sine-Gordon model. We verify that LCT numerics are able to capture in detail the spectrum and correlation functions of the Sine-Gordon model. This opens up the possibility for studying deformations of various integrable CFTs using LCT by considering the chiral limit of QCD like theories.
