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.

doi:10.1103/PhysRevD.94.045003

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

Journal Article · Wed Aug 03 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.94.045003· OSTI ID:1336112

Azaria, P. ^[1]; Konik, R. M. ^[2]; Lecheminant, P. ^[3]; Pálmai, T. ^[4]; Takács, G. ^[5]; Tsvelik, A. M. ^[2]

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
Cergy-Pontoise Unive. (France). Lab. of Theoretical Physics and Modeling
MTA-BME Momentum Statistical Field Theory Research Group, Budapest (Hungary)
MTA-BME Momentum Statistical Field Theory Research Group, Budapest (Hungary); Budapest Univ. of Technology and Economics (Hungary). Dept. of Theoretical Physics

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).

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Research Organization:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC00112704; AC02-98CH10886

OSTI ID:: 1336112

Alternate ID(s):: OSTI ID: 1295981

Report Number(s):: BNL-112558-2016-JA; PRVDAQ; R&D Project: PO015; KC0202030

Journal Information:: Physical Review D, Vol. 94, Issue 4; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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Quench dynamics of the Ising field theory in a magnetic field Hódsági, Kristóf; Kormos, Márton; Takács, Gábor arXiv https://doi.org/10.48550/arxiv.1803.01158	text	January 2018

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