Particle Formation and Ordering in Strongly Correlated Fermionic Systems: Solving a Model of Quantum Chromodynamics

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 finite hadron density. We use non-perturbative techniques (non-Abelian bosonization and Truncated Conformal Space Approach). At zero density we describe a formation of fermion three-quark (nucleons and $\Delta$-baryons) and boson (two-quark mesons, six-quark deuterons) bound states and also a formation of a topologically nontrivial phase. At finite hadron density, the model has a rich phase diagram which includes phases with density wave and superfluid quasi-long-range (QLR) order and also a phase of a baryon Tomonaga-Luttinger liquid (strange metal). The QLR order results as a condensation of scalar mesons (the density wave) or six-quark bound states (deuterons).

31 pages, pdflatex file, 7 figures; typos corrected, the version from Phys. Rev. D

References in corpus (20)

• Anyons in an exactly solved model and beyond
• Bosonization and Strongly Correlated Systems
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• From band insulator to Mott insulator in one dimension
• Non-integrable aspects of the multi-frequency Sine-Gordon model
• Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions
• A Cheap Alternative to the Lattice?
• Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Critical properties of the double-frequency sine-Gordon model with applications
• Bosonization and QCD in Two Dimensions
• A Numerical Renormalization Group for Continuum One-Dimensional Systems
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Nonperturbative study of the two-frequency sine-Gordon model
• Studying the Perturbed Wess-Zumino-Novikov-Witten SU(2)k Theory Using the Truncated Conformal Spectrum Approach
• Confinement in the q-state Potts model: an RG-TCSA study
• A Renormalization Group For Treating 2D Coupled Arrays of Continuum 1D Systems
• Baryons in the large N limit of the massive two-dimensional Nambu-Jona-Lasinio model
• Boundary renormalisation group flows of unitary superconformal minimal models

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• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Approaching the Self-Dual Point of the Sinh-Gordon model
• Chirally Factorised Truncated Conformal Space Approach
• Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation
• When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
• Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• On computing non-equilibrium dynamics following a quench
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