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Title: Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics

Abstract

In our paper we study a (1+1)-dimensional version of the famous Nambu–Jona-Lasinio model of quantum chromodynamics (QCD2) both at zero and at finite baryon density. We use nonperturbative techniques (non-Abelian bosonization and the truncated conformal spectrum approach). When the baryon chemical potential, μ, is zero, we describe the formation of fermion three-quark (nucleons and Δ baryons) and boson (two-quark mesons, six-quark deuterons) bound states. We also study at μ=0 the formation of a topologically nontrivial phase. When the chemical potential exceeds the critical value and a finite baryon density appears, the model has a rich phase diagram which includes phases with a density wave and superfluid quasi-long-range (QLR) order, as well as a phase of a baryon Tomonaga-Luttinger liquid (strange metal). Finally, the QLR order results in either a condensation of scalar mesons (the density wave) or six-quark bound states (deuterons).

Authors:
 [1];  [2];  [3];  [4];  [5];  [2]
  1. Univ. Pierre et Marie Curie, Paris (France). Lab. of the Physical Theory of Condensed Matter
  2. Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Division
  3. Cergy-Pontoise Unive. (France). Lab. of Theoretical Physics and Modeling
  4. MTA-BME Momentum Statistical Field Theory Research Group, Budapest (Hungary)
  5. MTA-BME Momentum Statistical Field Theory Research Group, Budapest (Hungary); Budapest Univ. of Technology and Economics (Hungary). Dept. of Theoretical Physics
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1336112
Alternate Identifier(s):
OSTI ID: 1295981
Report Number(s):
BNL-112558-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: PO015; KC0202030
Grant/Contract Number:  
SC00112704; AC02-98CH10886
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 4; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Azaria, P., Konik, R. M., Lecheminant, P., Pálmai, T., Takács, G., and Tsvelik, A. M. Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.045003.
Azaria, P., Konik, R. M., Lecheminant, P., Pálmai, T., Takács, G., & Tsvelik, A. M. Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics. United States. doi:10.1103/PhysRevD.94.045003.
Azaria, P., Konik, R. M., Lecheminant, P., Pálmai, T., Takács, G., and Tsvelik, A. M. Wed . "Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics". United States. doi:10.1103/PhysRevD.94.045003. https://www.osti.gov/servlets/purl/1336112.
@article{osti_1336112,
title = {Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics},
author = {Azaria, P. and Konik, R. M. and Lecheminant, P. and Pálmai, T. and Takács, G. and Tsvelik, A. M.},
abstractNote = {In our paper we study a (1+1)-dimensional version of the famous Nambu–Jona-Lasinio model of quantum chromodynamics (QCD2) both at zero and at finite baryon density. We use nonperturbative techniques (non-Abelian bosonization and the truncated conformal spectrum approach). When the baryon chemical potential, μ, is zero, we describe the formation of fermion three-quark (nucleons and Δ baryons) and boson (two-quark mesons, six-quark deuterons) bound states. We also study at μ=0 the formation of a topologically nontrivial phase. When the chemical potential exceeds the critical value and a finite baryon density appears, the model has a rich phase diagram which includes phases with a density wave and superfluid quasi-long-range (QLR) order, as well as a phase of a baryon Tomonaga-Luttinger liquid (strange metal). Finally, the QLR order results in either a condensation of scalar mesons (the density wave) or six-quark bound states (deuterons).},
doi = {10.1103/PhysRevD.94.045003},
journal = {Physical Review D},
number = 4,
volume = 94,
place = {United States},
year = {Wed Aug 03 00:00:00 EDT 2016},
month = {Wed Aug 03 00:00:00 EDT 2016}
}

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