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–JonaLasinio model of quantum chromodynamics (QCD2) both at zero and at finite baryon density. We use nonperturbative techniques (nonAbelian bosonization and the truncated conformal spectrum approach). When the baryon chemical potential, μ, is zero, we describe the formation of fermion threequark (nucleons and Δ baryons) and boson (twoquark mesons, sixquark 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 quasilongrange (QLR) order, as well as a phase of a baryon TomonagaLuttinger liquid (strange metal). Finally, the QLR order results in either a condensation of scalar mesons (the density wave) or sixquark bound states (deuterons).
 Authors:
 Univ. Pierre et Marie Curie, Paris (France). Lab. of the Physical Theory of Condensed Matter
 Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Division
 CergyPontoise Unive. (France). Lab. of Theoretical Physics and Modeling
 MTABME Momentum Statistical Field Theory Research Group, Budapest (Hungary)
 MTABME 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) (SC22)
 OSTI Identifier:
 1336112
 Alternate Identifier(s):
 OSTI ID: 1295981
 Report Number(s):
 BNL1125582016JA
Journal ID: ISSN 24700010; PRVDAQ; R&D Project: PO015; KC0202030
 Grant/Contract Number:
 SC00112704; AC0298CH10886
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 94; Journal Issue: 4; Journal ID: ISSN 24700010
 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–JonaLasinio model of quantum chromodynamics (QCD2) both at zero and at finite baryon density. We use nonperturbative techniques (nonAbelian bosonization and the truncated conformal spectrum approach). When the baryon chemical potential, μ, is zero, we describe the formation of fermion threequark (nucleons and Δ baryons) and boson (twoquark mesons, sixquark 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 quasilongrange (QLR) order, as well as a phase of a baryon TomonagaLuttinger liquid (strange metal). Finally, the QLR order results in either a condensation of scalar mesons (the density wave) or sixquark 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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