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

Abstract

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).

Authors:

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

Publication Date:: Wed Aug 03 00:00:00 EDT 2016

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

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

OSTI Identifier:: 1336112

Alternate Identifier(s):: OSTI ID: 1295981

Report Number(s):: BNL-112558-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: PO015; KC0202030

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

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 94; Journal Issue: 4; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Azaria, P., Konik, R. M., Lecheminant, P., Pálmai, T., Takács, G., and Tsvelik, A. M. Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevD.94.045003.

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                    Azaria, P., Konik, R. M., Lecheminant, P., Pálmai, T., Takács, G., & Tsvelik, A. M. Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics.  United States.  https://doi.org/10.1103/PhysRevD.94.045003

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                    Azaria, P., Konik, R. M., Lecheminant, P., Pálmai, T., Takács, G., and Tsvelik, A. M. Wed .  
"Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics".  United States.  https://doi.org/10.1103/PhysRevD.94.045003.  https://www.osti.gov/servlets/purl/1336112.

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@article{osti_1336112,

  title        = {Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics},

  author       = {Azaria, P. and Konik, R. M. and Lecheminant, P. and Pálmai, T. and Takács, G. and Tsvelik, A. M.},

  abstractNote = {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).},

  doi          = {10.1103/PhysRevD.94.045003},

  journal      = {Physical Review D},

  number       = 4,

  volume       = 94,

  place        = {United States},

  year         = {Wed Aug 03 00:00:00 EDT 2016},

  month        = {Wed Aug 03 00:00:00 EDT 2016}

}

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Works referencing / citing this record:

Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
text, January 2018

Pisarski, Robert D.; Skokov, Vladimir V.; Tsvelik, Alexei M.
arXiv
DOI: 10.48550/arxiv.1801.08156

Quench dynamics of the Ising field theory in a magnetic field
text, January 2018

Hódsági, Kristóf; Kormos, Márton; Takács, Gábor
arXiv
DOI: 10.48550/arxiv.1803.01158

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

Abstract

Citation Formats

Anyons in an exactly solved model and beyond journal, January 2006

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states journal, June 1986

Mean field solution of QCD2 in the large-N limit journal, September 1991

Renormalization Group for Treating 2D Coupled Arrays of Continuum 1D Systems journal, March 2009

Baryons in the large N limit of the massive two-dimensional Nambu-Jona-Lasinio model journal, June 2008

QCD at finite baryon density: nucleon droplets and color superconductivity journal, March 1998

From Band Insulator to Mott Insulator in One Dimension journal, September 1999

Confinement in the q-state Potts model: an RG-TCSA study journal, September 2015

Hidden quantum group symmetry and integrable perturbations of conformal field theories journal, July 1990

Studying the perturbed Wess–Zumino–Novikov–Witten SU(2) theory using the truncated conformal spectrum approach journal, October 2015

How instantons solve the U(1) problem journal, September 1986

Bosonization and QCD in two dimensions journal, February 1993

On the realization of chiral symmetry in (1+1) dimensions journal, March 1986

Critical properties of the double-frequency sine-Gordon model with applications journal, August 2000

Confinement and Superfluidity in One-Dimensional Degenerate Fermionic Cold Atoms journal, December 2005

Hamiltonian truncation study of the φ 4 theory in two dimensions journal, April 2015

On the relation between scattering amplitudes and finite-size mass corrections in QFT journal, September 1991

Current algebra and Wess-Zumino model in two dimensions journal, December 1984

Exact critical exponents for quantum spin chains, non-linear σ-models at θ=π and the quantum hall effect journal, March 1986

Critical theory of quantum spin chains journal, October 1987

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I journal, April 1961

Non-integrable aspects of the multi-frequency sine-Gordon model journal, April 1998

Truncated Comformal Space Approach to Scaling Lee-Yang Model journal, August 1990

Non-abelian bosonization and multiflavor QED and QCD in two dimensions journal, January 1985

Truncated-Fermionic-Space Approach to the Critical 2d Ising Model with Magnetic Field journal, October 1991

Phase structure of the massive chiral Gross-Neveu model from the Hartree-Fock approach journal, September 2008

Nonperturbative study of the two-frequency sine-Gordon model journal, May 2001

Boundary renormalisation group flows of unitary superconformal minimal models journal, June 2006

Truncated conformal space approach in d dimensions: A cheap alternative to lattice field theory? journal, January 2015

Global aspects of current algebra journal, August 1983

Diquark Bose Condensates in High Density Matter and Instantons journal, July 1998

Numerical Renormalization Group for Continuum One-Dimensional Systems journal, April 2007

Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms journal, January 2008

Current algebra, baryons, and quark confinement journal, August 1983

Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics text, January 2018

Quench dynamics of the Ising field theory in a magnetic field text, January 2018

Anyons in an exactly solved model and beyond
journal, January 2006

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986

Mean field solution of QCD2 in the large-N limit
journal, September 1991

Renormalization Group for Treating 2D Coupled Arrays of Continuum 1D Systems
journal, March 2009

Baryons in the large $N$ limit of the massive two-dimensional Nambu-Jona-Lasinio model
journal, June 2008

QCD at finite baryon density: nucleon droplets and color superconductivity
journal, March 1998

From Band Insulator to Mott Insulator in One Dimension
journal, September 1999

Confinement in the q-state Potts model: an RG-TCSA study
journal, September 2015

Hidden quantum group symmetry and integrable perturbations of conformal field theories
journal, July 1990

Studying the perturbed Wess–Zumino–Novikov–Witten SU(2) theory using the truncated conformal spectrum approach
journal, October 2015

How instantons solve the U(1) problem
journal, September 1986

Bosonization and QCD in two dimensions
journal, February 1993

On the realization of chiral symmetry in (1+1) dimensions
journal, March 1986

Critical properties of the double-frequency sine-Gordon model with applications
journal, August 2000

Confinement and Superfluidity in One-Dimensional Degenerate Fermionic Cold Atoms
journal, December 2005

Hamiltonian truncation study of the $φ^{4}$ theory in two dimensions
journal, April 2015

On the relation between scattering amplitudes and finite-size mass corrections in QFT
journal, September 1991

Current algebra and Wess-Zumino model in two dimensions
journal, December 1984

Exact critical exponents for quantum spin chains, non-linear σ-models at θ=π and the quantum hall effect
journal, March 1986

Critical theory of quantum spin chains
journal, October 1987

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
journal, April 1961

Non-integrable aspects of the multi-frequency sine-Gordon model
journal, April 1998

Truncated Comformal Space Approach to Scaling Lee-Yang Model
journal, August 1990

Non-abelian bosonization and multiflavor QED and QCD in two dimensions
journal, January 1985

Truncated-Fermionic-Space Approach to the Critical 2d Ising Model with Magnetic Field
journal, October 1991

Phase structure of the massive chiral Gross-Neveu model from the Hartree-Fock approach
journal, September 2008

Nonperturbative study of the two-frequency sine-Gordon model
journal, May 2001

Boundary renormalisation group flows of unitary superconformal minimal models
journal, June 2006

Truncated conformal space approach in $d$ dimensions: A cheap alternative to lattice field theory?
journal, January 2015

Global aspects of current algebra
journal, August 1983

Diquark Bose Condensates in High Density Matter and Instantons
journal, July 1998

Numerical Renormalization Group for Continuum One-Dimensional Systems
journal, April 2007

Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
journal, January 2008

Current algebra, baryons, and quark confinement
journal, August 1983

Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
text, January 2018

Quench dynamics of the Ising field theory in a magnetic field
text, January 2018