Chiral Limit of 2d QCD Revisited with Lightcone Conformal Truncation

2021/10/29 by Nikhil Anand, Anand, Nikhil, A. Liam Fitzpatrick +5 · 2 citations
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2111.00021

Abstract

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.

Cited by

• Numerical renormalization group integrated Hamiltonian truncation: Toward generic deformation of integrable lattice models
• Hamiltonian Truncation Framework for Gauge Theories on the Interval

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