# Nonperturbative calculations in the framework of variational perturbation theory in QCD

## Abstract

We discuss applications of the method based on the variational perturbation theory to perform calculations down to the lowest energy scale. The variational series is different from the conventional perturbative expansion and can be used to go beyond the weak-coupling regime. We apply this method to investigate the Borel representation of the light Adler function constructed from the τ data and to determine the residual condensates. It is shown that within the method suggested the optimal values of these lower dimension condensates are close to zero.

- Authors:

- Russia Gomel State Technical University, Joint Institute for Nuclear Research, Dubna (Belarus)

- Publication Date:

- OSTI Identifier:
- 22759662

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Atomic Nuclei

- Additional Journal Information:
- Journal Volume: 80; Journal Issue: 4; Other Information: Copyright (c) 2017 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; CONDENSATES; COUPLING; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; VARIATIONAL METHODS

### Citation Formats

```
Solovtsova, O. P., E-mail: olsol@theor.jinr.ru.
```*Nonperturbative calculations in the framework of variational perturbation theory in QCD*. United States: N. p., 2017.
Web. doi:10.1134/S1063778817040263.

```
Solovtsova, O. P., E-mail: olsol@theor.jinr.ru.
```*Nonperturbative calculations in the framework of variational perturbation theory in QCD*. United States. doi:10.1134/S1063778817040263.

```
Solovtsova, O. P., E-mail: olsol@theor.jinr.ru. Sat .
"Nonperturbative calculations in the framework of variational perturbation theory in QCD". United States. doi:10.1134/S1063778817040263.
```

```
@article{osti_22759662,
```

title = {Nonperturbative calculations in the framework of variational perturbation theory in QCD},

author = {Solovtsova, O. P., E-mail: olsol@theor.jinr.ru},

abstractNote = {We discuss applications of the method based on the variational perturbation theory to perform calculations down to the lowest energy scale. The variational series is different from the conventional perturbative expansion and can be used to go beyond the weak-coupling regime. We apply this method to investigate the Borel representation of the light Adler function constructed from the τ data and to determine the residual condensates. It is shown that within the method suggested the optimal values of these lower dimension condensates are close to zero.},

doi = {10.1134/S1063778817040263},

journal = {Physics of Atomic Nuclei},

issn = {1063-7788},

number = 4,

volume = 80,

place = {United States},

year = {2017},

month = {7}

}

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