We emphasize the role of the x dependence of the quark condensate <|\bar
q(0)q(x)|> originated by the zero fermion modes in the instanton vacuum. The
effect is not negligible since the inverse size of the instanton 1/\rho\~600MeV
is comparable with the value of Borel mass M\~1GeV. Using as an example the sum
rules for the nucleon we show that this "non-locality" may strongly affected
the conventional results obtained under the <|q(0)q(x)|>=<|q(0)q(0)|>
approximation.
%0 Generic
%1 Ryskin2014QCD
%A Ryskin, M. G.
%A Sadovnikova, V. A.
%D 2014
%K condensate
%T QCD sum rules for the nucleon and the non-locality of quark condensates
%U http://arxiv.org/abs/1407.4967
%X We emphasize the role of the x dependence of the quark condensate <|\bar
q(0)q(x)|> originated by the zero fermion modes in the instanton vacuum. The
effect is not negligible since the inverse size of the instanton 1/\rho\~600MeV
is comparable with the value of Borel mass M\~1GeV. Using as an example the sum
rules for the nucleon we show that this "non-locality" may strongly affected
the conventional results obtained under the <|q(0)q(x)|>=<|q(0)q(0)|>
approximation.
@misc{Ryskin2014QCD,
abstract = {{We emphasize the role of the x dependence of the quark condensate \<|\bar
q(0)q(x)|\> originated by the zero fermion modes in the instanton vacuum. The
effect is not negligible since the inverse size of the instanton 1/\rho\~{}600MeV
is comparable with the value of Borel mass M\~{}1GeV. Using as an example the sum
rules for the nucleon we show that this "non-locality" may strongly affected
the conventional results obtained under the \<|\bar q(0)q(x)|\>=\<|\bar q(0)q(0)|\>
approximation.}},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Ryskin, M. G. and Sadovnikova, V. A.},
biburl = {https://www.bibsonomy.org/bibtex/25edc8bcb20a84425dd492b72d13d1699/cmcneile},
citeulike-article-id = {13274076},
citeulike-linkout-0 = {http://arxiv.org/abs/1407.4967},
citeulike-linkout-1 = {http://arxiv.org/pdf/1407.4967},
day = 18,
eprint = {1407.4967},
interhash = {a0b90120d9d573072db8175f45bc4786},
intrahash = {5edc8bcb20a84425dd492b72d13d1699},
keywords = {condensate},
month = jul,
posted-at = {2014-07-21 09:48:45},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{QCD sum rules for the nucleon and the non-locality of quark condensates}},
url = {http://arxiv.org/abs/1407.4967},
year = 2014
}