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Title: Variational perturbation theory and nonperturbative calculations in QCD

Abstract

A nonperturbative approach based on the variational perturbation theory in quantum chromodynamics is developed. The variational series is different from the conventional perturbative expansion and can be used to go beyond the weak-coupling regime. The approach suggested takes into account the summation of threshold singularities and the involvement of nonperturbative light quark masses. Phenomenological applications of this approach to describe physical quantities connected with the hadronic {tau}-decay data: the R{sub {tau}} ratio, the light-quark Adler function, and the smeared R{sub {Delta}} function are presented. The description of examined quantities includes an infrared region and, therefore, they cannot be directly calculated within the standard perturbation theory. It is shown that in spite of this fact the approach suggested gives a rather good result for these quantities down to the lowest energy scale.

Authors:
 [1]
  1. Joint Institute for Nuclear Research (Russian Federation)
Publication Date:
OSTI Identifier:
22212654
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 76; Journal Issue: 10; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; COUPLING; D QUARKS; DECAY; EXPANSION; HADRONS; MASS; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; SINGULARITY; U QUARKS; VARIATIONAL METHODS

Citation Formats

Solovtsova, O. P., E-mail: olsol@theor.jinr.ru. Variational perturbation theory and nonperturbative calculations in QCD. United States: N. p., 2013. Web. doi:10.1134/S1063778813090196.
Solovtsova, O. P., E-mail: olsol@theor.jinr.ru. Variational perturbation theory and nonperturbative calculations in QCD. United States. https://doi.org/10.1134/S1063778813090196
Solovtsova, O. P., E-mail: olsol@theor.jinr.ru. 2013. "Variational perturbation theory and nonperturbative calculations in QCD". United States. https://doi.org/10.1134/S1063778813090196.
@article{osti_22212654,
title = {Variational perturbation theory and nonperturbative calculations in QCD},
author = {Solovtsova, O. P., E-mail: olsol@theor.jinr.ru},
abstractNote = {A nonperturbative approach based on the variational perturbation theory in quantum chromodynamics is developed. The variational series is different from the conventional perturbative expansion and can be used to go beyond the weak-coupling regime. The approach suggested takes into account the summation of threshold singularities and the involvement of nonperturbative light quark masses. Phenomenological applications of this approach to describe physical quantities connected with the hadronic {tau}-decay data: the R{sub {tau}} ratio, the light-quark Adler function, and the smeared R{sub {Delta}} function are presented. The description of examined quantities includes an infrared region and, therefore, they cannot be directly calculated within the standard perturbation theory. It is shown that in spite of this fact the approach suggested gives a rather good result for these quantities down to the lowest energy scale.},
doi = {10.1134/S1063778813090196},
url = {https://www.osti.gov/biblio/22212654}, journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 10,
volume = 76,
place = {United States},
year = {Tue Oct 15 00:00:00 EDT 2013},
month = {Tue Oct 15 00:00:00 EDT 2013}
}