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 Nc colors and Nf flavors of massless fermions in the fundamental representation is expected to exhibit conformal behavior in the infrared governed by a u(Nf) Wess–Zumino–Witten model with level Nc. 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 Nf-independent values in the infrared.

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      "value": "Two-dimensional QCD with <math><msub><mi>N</mi><mi>c</mi></msub></math> colors and <math><msub><mi>N</mi><mi>f</mi></msub></math> flavors of massless fermions in the fundamental representation is expected to exhibit conformal behavior in the infrared governed by a <math><mi>u</mi><mo>(</mo><msub><mi>N</mi><mi>f</mi></msub><mo>)</mo></math> Wess\u2013Zumino\u2013Witten model with level <math><msub><mi>N</mi><mi>c</mi></msub></math>. 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 <math><msub><mi>N</mi><mi>f</mi></msub></math>-independent values in the infrared."
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Published on:
12 March 2024
Publisher:
APS
Published in:
Physical Review D , Volume 109 (2024)
Issue 5
DOI:
https://doi.org/10.1103/PhysRevD.109.054502
arXiv:
2312.13929
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: