# System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region

## Abstract

A system of Schwinger-Dyson equations for the model of scalar-field interaction is studied in a deep Euclidean region. It is shown that there exists a critical coupling constant that separates the weak-coupling region characterized by the asymptotically free behavior and the strong-coupling region, where the asymptotic behavior of field propagators becomes ultralocal.

- Authors:

- National Research Center Kurchatov Institute, Institute for High Energy Physics (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22472286

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Atomic Nuclei

- Additional Journal Information:
- Journal Volume: 78; Journal Issue: 3; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMPTOTIC SOLUTIONS; COUPLING CONSTANTS; EUCLIDEAN SPACE; PROPAGATOR; SCALAR FIELDS; SCHWINGER FUNCTIONAL EQUATIONS; STRONG-COUPLING MODEL

### Citation Formats

```
Rochev, V. E., E-mail: vladimir.rochev@ihep.ru.
```*System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region*. United States: N. p., 2015.
Web. doi:10.1134/S1063778815020258.

```
Rochev, V. E., E-mail: vladimir.rochev@ihep.ru.
```*System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region*. United States. doi:10.1134/S1063778815020258.

```
Rochev, V. E., E-mail: vladimir.rochev@ihep.ru. Fri .
"System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region". United States. doi:10.1134/S1063778815020258.
```

```
@article{osti_22472286,
```

title = {System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region},

author = {Rochev, V. E., E-mail: vladimir.rochev@ihep.ru},

abstractNote = {A system of Schwinger-Dyson equations for the model of scalar-field interaction is studied in a deep Euclidean region. It is shown that there exists a critical coupling constant that separates the weak-coupling region characterized by the asymptotically free behavior and the strong-coupling region, where the asymptotic behavior of field propagators becomes ultralocal.},

doi = {10.1134/S1063778815020258},

journal = {Physics of Atomic Nuclei},

issn = {1063-7788},

number = 3,

volume = 78,

place = {United States},

year = {2015},

month = {5}

}

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