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Title:
Particle Formation and Ordering in Strongly Correlated Fermionic Systems: Solving a Model of Quantum Chromodynamics
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Abstract:
we study a (1+1)-dimensional version of the famous Nambu-Jona-Lasinio model of quantum chromodynamics (QCD2) both at zero and finite baryon density. We use non-perturbative techniques (non-abelian bosonization and the truncated conformal spectrum approach (TCSA)). When the baryon chemical potential, μ, is zero, we describe a formation of fermion three-quark (nucleons and ∆-baryons) and boson (two-quark mesons, six-quark deuterons) bound states. We also study at μ = 0 a 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 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)
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