# 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:

- 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:

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

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

- 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:
- Journal Article: 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.

```
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. doi:10.1103/PhysRevD.94.045003.

```
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.
doi:10.1103/PhysRevD.94.045003. https://www.osti.gov/servlets/purl/1336112.
```

```
@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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