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

P. Azaria, R. M. Konik, P. Lecheminant, T. Pálmai, G. Takács, A. M. Tsvelik

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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, 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). The QLR order results in either a condensation of scalar mesons (the density wave) or six-quark bound states (deuterons).

Original languageEnglish
Article number045003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume94
Issue number4
DOIs
Publication statusPublished - Aug 3 2016

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baryons
quantum chromodynamics
quarks
deuterons
mesons
nucleons
bosons
condensation
fermions
phase diagrams
scalars
liquids
metals

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Particle formation and ordering in strongly correlated fermionic systems : Solving a model of quantum chromodynamics. / Azaria, P.; Konik, R. M.; Lecheminant, P.; Pálmai, T.; Takács, G.; Tsvelik, A. M.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 94, No. 4, 045003, 03.08.2016.

Research output: Contribution to journalArticle

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