We analyze several phenomenological aspects of the isospin-breaking
corrections to quark condensates within one-loop Chiral Perturbation Theory.
The condensates are calculated including \$m\_um\_d\$ contributions as well as
electromagnetic corrections. Appealing to the ferromagnetic-like nature of the
condensates under electromagnetic symmetry breaking, we derive some constraints
for the electromagnetic low-energy constants (LEC). We also establish matching
conditions between the SU(2) and SU(3) LEC involved, including all the relevant
isospin-breaking contributions of the same order. In addition, we find that the
sum rule relating quark condensate ratios in SU(3) receives electromagnetic
corrections of the same order as the \$m\_um\_d\$ ones previously derived.
%0 Journal Article
%1 GomezNicola2010IsospinBreaking
%A Nicola, Gomez
%A Andres, Torres
%D 2010
%K condensate
%T Isospin-Breaking quark condensates in Chiral Perturbation Theory
%U http://arxiv.org/abs/1009.2170
%X We analyze several phenomenological aspects of the isospin-breaking
corrections to quark condensates within one-loop Chiral Perturbation Theory.
The condensates are calculated including \$m\_um\_d\$ contributions as well as
electromagnetic corrections. Appealing to the ferromagnetic-like nature of the
condensates under electromagnetic symmetry breaking, we derive some constraints
for the electromagnetic low-energy constants (LEC). We also establish matching
conditions between the SU(2) and SU(3) LEC involved, including all the relevant
isospin-breaking contributions of the same order. In addition, we find that the
sum rule relating quark condensate ratios in SU(3) receives electromagnetic
corrections of the same order as the \$m\_um\_d\$ ones previously derived.
@article{GomezNicola2010IsospinBreaking,
abstract = {{We analyze several phenomenological aspects of the isospin-breaking
corrections to quark condensates within one-loop Chiral Perturbation Theory.
The condensates are calculated including \$m\_u\neq m\_d\$ contributions as well as
electromagnetic corrections. Appealing to the ferromagnetic-like nature of the
condensates under electromagnetic symmetry breaking, we derive some constraints
for the electromagnetic low-energy constants (LEC). We also establish matching
conditions between the SU(2) and SU(3) LEC involved, including all the relevant
isospin-breaking contributions of the same order. In addition, we find that the
sum rule relating quark condensate ratios in SU(3) receives electromagnetic
corrections of the same order as the \$m\_u\neq m\_d\$ ones previously derived.}},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Nicola, Gomez and Andres, Torres},
biburl = {https://www.bibsonomy.org/bibtex/2774c815b3b13cd2c1fcb6155276950b8/cmcneile},
citeulike-article-id = {7927566},
citeulike-linkout-0 = {http://arxiv.org/abs/1009.2170},
citeulike-linkout-1 = {http://arxiv.org/pdf/1009.2170},
day = 11,
eprint = {1009.2170},
interhash = {0be6b4f2b571059bb6d81afbae999ba6},
intrahash = {774c815b3b13cd2c1fcb6155276950b8},
keywords = {condensate},
month = sep,
posted-at = {2010-09-30 14:26:29},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{Isospin-Breaking quark condensates in Chiral Perturbation Theory}},
url = {http://arxiv.org/abs/1009.2170},
year = 2010
}