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Gómez Nicola, Ángel and Torres Andrés, R. (2011) Isospin breaking and chiral symmetry restoration. Physical review D, 83 (7). ISSN 15507998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.83.076005
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http://journals.aps.org  Publisher 
Abstract
We analyze quark condensates and chiral (scalar) susceptibilities including isospinbreaking effects at finite temperature T. These include m(u) not equal m(d) contributions as well as electromagnetic (e not equal 0) corrections, both treated in a consistent chiral Lagrangian framework to leading order in SU(2) and SU(3) chiral perturbation theory, so that our predictions are modelindependent. The chiral restoration temperature extracted from <(q) over barq > = <(u) over baru + (d) over bard > is almost unaffected, while the isospinbreaking order parameter <(u) over baru  (d) over bard > grows with T for the threeflavor case SU(3). We derive a sum rule relating the condensate ratio <(q) over barq >(e not equal 0)/<(q) over barq >(e = 0) with the scalar susceptibility difference (x)(T)  (x)(0), directly measurable on the lattice. This sum rule is useful also for estimating condensate errors in staggered lattice analysis. Keeping m(u) not equal m(d) allows one to obtain the connected and disconnected contributions to the susceptibility, even in the isospin limit, whose temperature, mass, and isospinbreaking dependence we analyze in detail. The disconnected part grows linearly, diverging in the chiral (infrared) limit as T = M(pi), while the connected part shows a quadratic behavior, infrared regular as T(2)/M(eta)(2), and coming from pi(0)eta mixing terms. This smooth connected behavior suggests that isospinbreaking correlations are weaker than critical chiral ones near the transition temperature. We explore some consequences in connection with lattice data and their scaling properties, for which our present analysis for physical masses, i.e. beyond the chiral limit, provides a useful modelindependent description for low and moderate temperatures.
Item Type:  Article 

Additional Information:  © 2011 American Physical Society. 
Uncontrolled Keywords:  Bationtheory; Virtual photons; Electromagnetic corrections; Phasetransition; Mass; Chromodynamics; Quark; Pions; Model 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  30190 
Deposited On:  22 May 2015 08:23 
Last Modified:  10 Dec 2018 15:09 
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