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Chiral Limit of 2d QCD Revisited with Lightcone Conformal Truncation

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arxiv 2111.00021 v1 pith:3EJNDOZM submitted 2021-10-29 hep-th

classification hep-th
keywords quarkchirallimitablemassesmodelsine-gordonaccording
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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.

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Cited by 1 Pith paper

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  1. Systematic Improvement of Hamiltonian Truncation Effective Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    NLO matching corrections with nonlocal terms are computed for 1+1D λφ⁴ Hamiltonian truncation, and the eigenvalue error is shown to scale as 1/Emax⁴, confirming the effective theory power counting.

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