Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-09-11
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 1 figure, final version accepted for publication in Journal of Physics G
Scientific paper
We analyze the isospin-breaking corrections to quark condensates within one-loop SU(2) and SU(3) Chiral Perturbation Theory including $m_u\neq m_d$ 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 low-energy constants (LEC). If the explicit chiral symmetry breaking induced by EM terms generates a ferromagnetic-like 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 $m_u\neq m_d$ 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 isospin-breaking sources are taken into account.
Andres Torres R.
Nicola Angel Gomez
No associations
LandOfFree
Isospin-Breaking quark condensates in Chiral Perturbation Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Isospin-Breaking quark condensates in Chiral Perturbation Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isospin-Breaking quark condensates in Chiral Perturbation Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-562823