# Dynamical chiral symmetry breaking with Minkowski space integral representations

## Abstract

The fermion propagator is studied in the whole Minkowski space with the help of the Schwinger-Dyson equations. Various integral representations are employed to get solutions for the dynamical breaking of chiral symmetry in different regimes of the coupling constant. In particular, in the case of massive boson, we extend the singularity structure of the fermion propagator to the two real pole Ansaetze.

- Authors:

- Department of Theoretical Physics, Nuclear Physics Institute, Rez, CZ-25068 (Czech Republic)
- (Portugal)
- CFTP and Departamento de Fisica, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisbon (Portugal)

- Publication Date:

- OSTI Identifier:
- 21020445

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.087701; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOSONS; CHIRAL SYMMETRY; COUPLING CONSTANTS; FERMIONS; INTEGRALS; MATHEMATICAL SOLUTIONS; MINKOWSKI SPACE; PROPAGATOR; QUANTUM FIELD THEORY; SCHWINGER SOURCE THEORY; SINGULARITY; SYMMETRY BREAKING

### Citation Formats

```
Sauli, V., CFTP and Departamento de Fisica, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisbon, Adam, J. Jr., and Bicudo, P..
```*Dynamical chiral symmetry breaking with Minkowski space integral representations*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.087701.

```
Sauli, V., CFTP and Departamento de Fisica, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisbon, Adam, J. Jr., & Bicudo, P..
```*Dynamical chiral symmetry breaking with Minkowski space integral representations*. United States. doi:10.1103/PHYSREVD.75.087701.

```
Sauli, V., CFTP and Departamento de Fisica, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisbon, Adam, J. Jr., and Bicudo, P.. Sun .
"Dynamical chiral symmetry breaking with Minkowski space integral representations". United States.
doi:10.1103/PHYSREVD.75.087701.
```

```
@article{osti_21020445,
```

title = {Dynamical chiral symmetry breaking with Minkowski space integral representations},

author = {Sauli, V. and CFTP and Departamento de Fisica, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisbon and Adam, J. Jr. and Bicudo, P.},

abstractNote = {The fermion propagator is studied in the whole Minkowski space with the help of the Schwinger-Dyson equations. Various integral representations are employed to get solutions for the dynamical breaking of chiral symmetry in different regimes of the coupling constant. In particular, in the case of massive boson, we extend the singularity structure of the fermion propagator to the two real pole Ansaetze.},

doi = {10.1103/PHYSREVD.75.087701},

journal = {Physical Review. D, Particles Fields},

number = 8,

volume = 75,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}

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