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Title: On the loop approximation in nucleon QCD sum rules

Abstract

There was a general belief that the nucleon QCD sum rules which include only the quark loops and thus contain only the condensates of dimension d = 3 and d = 4 have only a trivial solution. We demonstrate that there is also a nontrivial solution. We show that it can be treated as the lowest order approximation to the solution which includes the higher terms of the Operator Product Expansion. Inclusion of the radiative corrections improves the convergence of the series.

Authors:
;  [1]
  1. National Research Center “Kurchatov Institute”, B. P. Konstantinov Petersburg Nuclear Physics Institute (Russian Federation)
Publication Date:
OSTI Identifier:
22472091
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 78; Journal Issue: 7; 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; MATHEMATICAL SOLUTIONS; NUCLEONS; OPERATOR PRODUCT EXPANSION; QUANTUM CHROMODYNAMICS; QUARKS; RADIATIVE CORRECTIONS; SUM RULES

Citation Formats

Drukarev, E. G., E-mail: drukarev@thd.pnpi.spb.ru, Ryskin, M. G., and Sadovnikova, V. A. On the loop approximation in nucleon QCD sum rules. United States: N. p., 2015. Web. doi:10.1134/S1063778815070054.
Drukarev, E. G., E-mail: drukarev@thd.pnpi.spb.ru, Ryskin, M. G., & Sadovnikova, V. A. On the loop approximation in nucleon QCD sum rules. United States. https://doi.org/10.1134/S1063778815070054
Drukarev, E. G., E-mail: drukarev@thd.pnpi.spb.ru, Ryskin, M. G., and Sadovnikova, V. A. 2015. "On the loop approximation in nucleon QCD sum rules". United States. https://doi.org/10.1134/S1063778815070054.
@article{osti_22472091,
title = {On the loop approximation in nucleon QCD sum rules},
author = {Drukarev, E. G., E-mail: drukarev@thd.pnpi.spb.ru and Ryskin, M. G. and Sadovnikova, V. A.},
abstractNote = {There was a general belief that the nucleon QCD sum rules which include only the quark loops and thus contain only the condensates of dimension d = 3 and d = 4 have only a trivial solution. We demonstrate that there is also a nontrivial solution. We show that it can be treated as the lowest order approximation to the solution which includes the higher terms of the Operator Product Expansion. Inclusion of the radiative corrections improves the convergence of the series.},
doi = {10.1134/S1063778815070054},
url = {https://www.osti.gov/biblio/22472091}, journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 7,
volume = 78,
place = {United States},
year = {Thu Oct 15 00:00:00 EDT 2015},
month = {Thu Oct 15 00:00:00 EDT 2015}
}