# Dyson-Schwinger equations : density, temperature and continuum strong QCD.

## Abstract

Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions; and the transition to, and properties of, a quark gluon plasma. We provide a contemporary perspective, couched primarily in terms of the Dyson-Schwinger equations but also making comparisons with other approaches and models. Our discourse provides a practitioners' guide to features of the Dyson-Schwinger equations [such as confinement and dynamical chiral symmetry breaking] and canvasses phenomenological applications to light meson and baryon properties in cold, sparse QCD. These provide the foundation for an extension to hot, dense QCD, which is probed via the introduction of the intensive thermodynamic variables: chemical potential and temperature. We describe order parameters whose evolution signals deconfinement and chiral symmetry restoration, and chronicle their use in demarcating the quark gluon plasma phase boundary and characterizing the plasma's properties. Hadron traits change in an equilibrated plasma. We exemplify this and discuss putative signals of the effects. Finally, since plasma formation is not an equilibrium process, we discuss recent developments in kinetic theory and its application to describing the evolution from a relativistic heavy ionmore »

- Authors:

- Publication Date:

- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 942896

- Report Number(s):
- ANL/PHY/JA-35730

Journal ID: ISSN 0146-6410; PPNPDB; TRN: US0904500

- DOE Contract Number:
- DE-AC02-06CH11357

- Resource Type:
- Journal Article

- Journal Name:
- Prog. Part. Nucl. Phys.

- Additional Journal Information:
- Journal Volume: 45; Journal Issue: Suppl. 1 ; 2000; Journal ID: ISSN 0146-6410

- Country of Publication:
- United States

- Language:
- ENGLISH

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; BOUND STATE; CHIRAL SYMMETRY; DENSITY; EQUATIONS; GLUONS; HEAVY IONS; ORDER PARAMETERS; PLASMA; QUANTUM CHROMODYNAMICS; QUANTUM FIELD THEORY; QUARKS; QUARK MATTER

### Citation Formats

```
Roberts, C. D., Schmidt, S. M., and Physics.
```*Dyson-Schwinger equations : density, temperature and continuum strong QCD.*. United States: N. p., 2000.
Web. doi:10.1016/S0146-6410(00)90011-5.

```
Roberts, C. D., Schmidt, S. M., & Physics.
```*Dyson-Schwinger equations : density, temperature and continuum strong QCD.*. United States. doi:10.1016/S0146-6410(00)90011-5.

```
Roberts, C. D., Schmidt, S. M., and Physics. Sat .
"Dyson-Schwinger equations : density, temperature and continuum strong QCD.". United States. doi:10.1016/S0146-6410(00)90011-5.
```

```
@article{osti_942896,
```

title = {Dyson-Schwinger equations : density, temperature and continuum strong QCD.},

author = {Roberts, C. D. and Schmidt, S. M. and Physics},

abstractNote = {Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions; and the transition to, and properties of, a quark gluon plasma. We provide a contemporary perspective, couched primarily in terms of the Dyson-Schwinger equations but also making comparisons with other approaches and models. Our discourse provides a practitioners' guide to features of the Dyson-Schwinger equations [such as confinement and dynamical chiral symmetry breaking] and canvasses phenomenological applications to light meson and baryon properties in cold, sparse QCD. These provide the foundation for an extension to hot, dense QCD, which is probed via the introduction of the intensive thermodynamic variables: chemical potential and temperature. We describe order parameters whose evolution signals deconfinement and chiral symmetry restoration, and chronicle their use in demarcating the quark gluon plasma phase boundary and characterizing the plasma's properties. Hadron traits change in an equilibrated plasma. We exemplify this and discuss putative signals of the effects. Finally, since plasma formation is not an equilibrium process, we discuss recent developments in kinetic theory and its application to describing the evolution from a relativistic heavy ion collision to an equilibrated quark gluon plasma.},

doi = {10.1016/S0146-6410(00)90011-5},

journal = {Prog. Part. Nucl. Phys.},

issn = {0146-6410},

number = Suppl. 1 ; 2000,

volume = 45,

place = {United States},

year = {2000},

month = {1}

}