# Dyson-Schwinger equations : a tool for hadron physics.

## Abstract

Dyson-Schwinger equations furnish a Poincare covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. The gap equation reveals that dynamical chiral symmetry breaking is tied to the long-range behavior of the strong interaction, which is thereby constrained by observables, and the pion is precisely understood, and seen to exist simultaneously as a Goldstone mode and a bound state of strongly dressed quarks. The systematic error associated with the simplest truncation has been quantified, and it underpins a one-parameter model efficacious in describing an extensive body of mesonic phenomena. Incipient applications to baryons have brought successes and encountered challenges familiar from early studies of mesons, and promise a covariant field theory upon which to base an understanding of contemporary large momentum transfer data.

- Authors:

- Publication Date:

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

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

- OSTI Identifier:
- 961168

- Report Number(s):
- ANL/PHY/JA-45203

TRN: US1003270

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

- Resource Type:
- Journal Article

- Journal Name:
- Int. J. Mod. Phys. E

- Additional Journal Information:
- Journal Volume: 12; Journal Issue: 3 ; Jun. 2003

- Country of Publication:
- United States

- Language:
- ENGLISH

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BARYONS; BETHE-SALPETER EQUATION; BOUND STATE; CHIRAL SYMMETRY; CONFINEMENT; EQUATIONS; ERRORS; FADDEEV EQUATIONS; FORM FACTORS; HADRONS; MESONS; MOMENTUM TRANSFER; PHYSICS; PIONS; QUANTUM CHROMODYNAMICS; QUARKS; SIMULATION; STRONG INTERACTIONS; SYMMETRY; SYMMETRY BREAKING

### Citation Formats

```
Maris, P., Roberts, C. D., Physics, and North Carolina State Univ.
```*Dyson-Schwinger equations : a tool for hadron physics.*. United States: N. p., 2003.
Web. doi:10.1142/S0218301303001326.

```
Maris, P., Roberts, C. D., Physics, & North Carolina State Univ.
```*Dyson-Schwinger equations : a tool for hadron physics.*. United States. doi:10.1142/S0218301303001326.

```
Maris, P., Roberts, C. D., Physics, and North Carolina State Univ. Sun .
"Dyson-Schwinger equations : a tool for hadron physics.". United States. doi:10.1142/S0218301303001326.
```

```
@article{osti_961168,
```

title = {Dyson-Schwinger equations : a tool for hadron physics.},

author = {Maris, P. and Roberts, C. D. and Physics and North Carolina State Univ.},

abstractNote = {Dyson-Schwinger equations furnish a Poincare covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. The gap equation reveals that dynamical chiral symmetry breaking is tied to the long-range behavior of the strong interaction, which is thereby constrained by observables, and the pion is precisely understood, and seen to exist simultaneously as a Goldstone mode and a bound state of strongly dressed quarks. The systematic error associated with the simplest truncation has been quantified, and it underpins a one-parameter model efficacious in describing an extensive body of mesonic phenomena. Incipient applications to baryons have brought successes and encountered challenges familiar from early studies of mesons, and promise a covariant field theory upon which to base an understanding of contemporary large momentum transfer data.},

doi = {10.1142/S0218301303001326},

journal = {Int. J. Mod. Phys. E},

number = 3 ; Jun. 2003,

volume = 12,

place = {United States},

year = {2003},

month = {6}

}