When cold, dense quarks in and dimensions are not a Fermi liquid
Abstract
We analyze the behavior of quarks coupled to a SU(Nc) gauge theory in 1+1 dimensions. In the limit of strong coupling, the model reduces to a Wess-Zumino-Novikov-Witten (WZNW) model. At nonzero density, excitations near the Fermi surface form a non-Fermi liquid. With Nf flavors, the finite density of quarks reduce to a free U(1) field, which governs fluctuations in baryon number, together with a WZNW SU(Nf) nonlinear sigma model at level Nc, from the pion/kaon modes. We compute the singularity in the charge susceptibility at the Fermi surface and the attendant power law correlations. We suggest that this is relevant to the quarkyonic regime of cold, dense QCD in 3+1 dimensions, in the limit that the Fermi surface is covered by many small patches, and the theory is effectively one dimensional. In this regime the dominant excitations near the Fermi surface are not baryons, but gapless bosonic modes.
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1860289
- Alternate Identifier(s):
- OSTI ID: 1842808; OSTI ID: 1844572
- Report Number(s):
- BNL-222685-2022-JAAM; BNL-222738-2022-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 054035
- Grant/Contract Number:
- SC0012704; SC001270
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 105 Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; QCD phase transitions; Quark-gluon plasma; Conformal field theory; Interdisciplinary Physics; Nuclear Physics; Particles & Fields; Statistical Physics
Citation Formats
Lajer, Marton, Konik, Robert M., Pisarski, Robert D., and Tsvelik, Alexei M. When cold, dense quarks in 1 + 1 and 3 + 1 dimensions are not a Fermi liquid. United States: N. p., 2022.
Web. doi:10.1103/PhysRevD.105.054035.
Lajer, Marton, Konik, Robert M., Pisarski, Robert D., & Tsvelik, Alexei M. When cold, dense quarks in 1 + 1 and 3 + 1 dimensions are not a Fermi liquid. United States. https://doi.org/10.1103/PhysRevD.105.054035
Lajer, Marton, Konik, Robert M., Pisarski, Robert D., and Tsvelik, Alexei M. Wed .
"When cold, dense quarks in 1 + 1 and 3 + 1 dimensions are not a Fermi liquid". United States. https://doi.org/10.1103/PhysRevD.105.054035.
@article{osti_1860289,
title = {When cold, dense quarks in 1 + 1 and 3 + 1 dimensions are not a Fermi liquid},
author = {Lajer, Marton and Konik, Robert M. and Pisarski, Robert D. and Tsvelik, Alexei M.},
abstractNote = {We analyze the behavior of quarks coupled to a SU(Nc) gauge theory in 1+1 dimensions. In the limit of strong coupling, the model reduces to a Wess-Zumino-Novikov-Witten (WZNW) model. At nonzero density, excitations near the Fermi surface form a non-Fermi liquid. With Nf flavors, the finite density of quarks reduce to a free U(1) field, which governs fluctuations in baryon number, together with a WZNW SU(Nf) nonlinear sigma model at level Nc, from the pion/kaon modes. We compute the singularity in the charge susceptibility at the Fermi surface and the attendant power law correlations. We suggest that this is relevant to the quarkyonic regime of cold, dense QCD in 3+1 dimensions, in the limit that the Fermi surface is covered by many small patches, and the theory is effectively one dimensional. In this regime the dominant excitations near the Fermi surface are not baryons, but gapless bosonic modes.},
doi = {10.1103/PhysRevD.105.054035},
journal = {Physical Review D},
number = 5,
volume = 105,
place = {United States},
year = {Wed Mar 30 00:00:00 EDT 2022},
month = {Wed Mar 30 00:00:00 EDT 2022}
}
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