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Gómez Nicola, Ángel and Torres Andrés, R. (2012) Isospinbreaking quark condensates in chiral perturbation theory. Journal of Physics GNuclear and Particle Physics, 39 (1). ISSN 09543899

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Official URL: http://dx.doi.org/10.1088/09543899/39/1/015004
URL  URL Type 

http://iopscience.iop.org  Publisher 
http://arxiv.org/abs/1009.2170  Organisation 
Abstract
We analyze the isospinbreaking corrections to quark condensates within oneloop SU(2) and SU(3) chiral perturbation theory including m(u) not equal m(d) as well as electromagnetic (EM) contributions. The explicit expressions are given and several phenomenological aspects are studied. We analyze the sensitivity of recent condensate determinations to the EM lowenergy constants (LEC). If the explicit chiral symmetry breaking induced by EM terms generates a ferromagneticlike response of the vacuum, as in the case of quark masses, the increasing of the order parameter implies constraints for the EM LEC, which we check with different estimates in the literature. In addition, we extend the sum rule relating quark condensate ratios in SU(3) to include EM corrections, which are of the same order as the m(u) not equal m(d) ones, and we use that sum rule to estimate the vacuum asymmetry within ChPT. We also discuss the matching conditions between the SU(2) and SU(3) LEC involved in the condensates, when both isospinbreaking sources are taken into account.
Item Type:  Article 

Additional Information:  © IOP Publishing Ltd. 
Uncontrolled Keywords:  Lowenergy constants; Pipi scattering; Electromagnetic corrections; Virtual photons; Kaon sattering; Magneticfield; Sumrule; Violation; Symmetry; Decays 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  30189 
Deposited On:  21 May 2015 08:06 
Last Modified:  10 Dec 2018 15:09 
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