# 2-D model field theories at finite temperature and density

@article{Schoen20002DMF, title={2-D model field theories at finite temperature and density}, author={Verena Schoen and Michael Thies}, journal={arXiv: High Energy Physics - Theory}, year={2000}, pages={1945-2032} }

In certain 1+1 dimensional field theoretic toy models, one can go all the way from microscopic quarks via the hadron spectrum to the properties of hot and dense baryonic matter in an essentially analytic way. This "miracle" is illustrated through case studies of two popular large N models, the Gross-Neveu and the 't Hooft model - caricatures of the Nambu-Jona-Lasinio model and real QCD, respectively. The main emphasis will be on aspects related to spontaneous symmetry breaking (discrete or…

## Figures from this paper

## 26 Citations

### Stringy NJL and Gross-Neveu models at finite density and temperature

- Physics
- 2007

Nonlocal stringy versions of the Nambu-Jona-Lasinio and Gross-Neveu models arise in a certain limit of holographic QCD. We analyze the phase structure at finite density and temperature at strong…

### Strange Metals in One Spatial Dimension

- Physics
- 2012

We consider 1+1 dimensional SU(N) gauge theory coupled to a multiplet of massive Dirac fermions transforming in the adjoint representation of the gauge group. The only global symmetry of this theory…

### Chiral helix in AdS/CFT correspondence with flavor

- Physics
- 2011

The D3/D7 holographic model aims at a better approximation to QCD by adding to N=4 SYM theory N_f of N=2 supersymmetric hypermultiplets in the fundamental representation of SU(N_c) -- the "flavor…

### Effective model approach to the dense state of QCD matter

- Physics
- 2010

The first-principle approach to the dense state of QCD matter, i.e. the lattice-QCD simulation at finite baryon density, is not under theoretical control for the moment. The effective model study…

### Fermion bag solitons in the massive Gross–Neveu and massive Nambu–Jona–Lasinio models in 1+1 dimensions: inverse scattering analysis

- Physics
- 2005

Formation of fermion bag solitons is an important paradigm in the theory of the hadron structure. We report here on our non-perturbative analysis of this phenomenon in the (1+1)-dimensional massive…

### Strong-Interaction Matter under Extreme Conditions from Chiral Quark Models with Nonlocal Separable Interactions

- PhysicsSymmetry
- 2021

We review the current status of the research on effective nonlocal NJL-like chiral quark models with separable interactions, focusing on the application of this approach to the description of the…

### The Zeeman effect in a modified Gross—Neveu model in (2 + 1)-dimensional space—time with compactification

- Physics
- 2015

The influence of the magnetic field, temperature, and chemical potential on the phase structure of a system in (2 + 1)-dimensional space—time with one compactified spatial dimension (cylinder) was…

### Kink dynamics, sinh-Gordon solitons and strings in AdS3 from the Gross–Neveu model

- Physics
- 2010

Guided by a study of kink–antikink scattering in the Gross–Neveu model and other known solutions of the Hartree–Fock approach of a particularly simple type, we demonstrate a quantitative relationship…

### Lorentz contraction of bound states in 1 + 1 dimensional gauge theory

- Physics
- 2004

We consider the Lorentz contraction of a fermion-antifermion bound state in $1+1$ dimensional QED. In $1+1$ dimensions the absence of physical, propagating photons allows us to explicitly solve the…

## References

SHOWING 1-10 OF 19 REFERENCES

### Finite temperature field theory

- Physics
- 2001

These lectures review phases and phase transitions of the Standard Model, with emphasis on those aspects which are amenable to a first principle study. Model calculations and theoretical ideas of…

### Particules et interactions : le modèle standard mis à l'épreuve : Les Houches, session LXVIII, 28 juillet - 5 septembre 1997 = Probing the standard model of particle interactions

- Physics
- 1999

Hardbound. The Standard Model (SM) of particle interactions, since its formulation in the early seventies, remains the only serious candidate theory describing three of the four forces of nature -…

### Covariant operator formalism of gauge theories and quantum gravity

- Physics
- 1990

This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative…

### Quantum Field Theory: From Operators to Path Integrals

- Physics
- 1999

1. Introducing Quantum Fields 2. Scalar Fields 3. Relativistic Fields 4. Canonical Formalism 5. Electromagnetic Field 6. Dirac Equation 7. The Dirac Field 8. Dynamics of Interacting Fields 9. Feynman…

### Multiquarksysteme in der 1+1 dimensionalen QCD, phd thesis, Universität Erlangen-Nürnberg

- 1989

### Proc. Suppl.)

- Proc. Suppl.)
- 1995

### Rev. Mod. Phys

- Rev. Mod. Phys
- 1997