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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.13929 |
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| _version_ | 1866914687470272512 |
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| author | Karthik, Nikhil Narayanan, Rajamani Narayanan, Sruthi A. |
| author_facet | Karthik, Nikhil Narayanan, Rajamani Narayanan, Sruthi A. |
| contents | Two-dimensional QCD with $N_c$ colors and $N_f$ flavors of massless fermions in the fundamental representation is expected to exhibit conformal behavior in the infrared governed by a $u(N_f)$ WZW model with level $N_c$. 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 $N_f$-independent values in the infrared. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13929 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Approaching the conformal WZW behavior in the infrared limit of two-dimensional massless QCD: a lattice study Karthik, Nikhil Narayanan, Rajamani Narayanan, Sruthi A. High Energy Physics - Lattice High Energy Physics - Theory Two-dimensional QCD with $N_c$ colors and $N_f$ flavors of massless fermions in the fundamental representation is expected to exhibit conformal behavior in the infrared governed by a $u(N_f)$ WZW model with level $N_c$. 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 $N_f$-independent values in the infrared. |
| title | Approaching the conformal WZW behavior in the infrared limit of two-dimensional massless QCD: a lattice study |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.13929 |