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

In this 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 p...

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Bibliographic Details
Published in:Physical review. D 2016-08, Vol.94 (4), Article 045003
Main Authors: Azaria, P., Konik, R. M., Lecheminant, P., Pálmai, T., Takács, G., Tsvelik, A. M.
Format: Article
Language:English
Subjects:
Baryons
Chemical potential
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Density
Formations
Mathematical analysis
Mathematical models
Mesons
Quantum chromodynamics
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Summary:In this 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, mu , is zero, we describe the formation of fermion three-quark (nucleons and Delta baryons) and boson (two-quark mesons, six-quark deuterons) bound states. We also study at mu =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). The QLR order results in either a condensation of scalar mesons (the density wave) or six-quark bound states (deuterons).
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.94.045003