2004
DOI: 10.1016/j.nuclphysa.2004.06.007
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Nonequilibrium pion dynamics near the critical point in a constituent quark model

Abstract: We study static and dynamical critical phenomena of chiral symmetry breaking in a two-flavor Nambu-Jona-Lasinio constituent quark model. We obtain the low-energy effective action for scalar and pseudoscalar degrees of freedom to lowest order in quark loops and to quadratic order in the meson fluctuations around the mean field. The static limit of critical phenomena is shown to be described by a Ginzburg-Landau effective action including spatial gradients. Hence static critical phenomena is described by the uni… Show more

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Cited by 5 publications
(6 citation statements)
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“…It is generally accepted that π mesons, the lowest lying QCD bound states, will be produced in abundance and this has motivated thorough studies of pions near the QCD phase transition. Near the phase transition, stable long wavelength pion excitations are developed which may be detectable signatures in heavy ion colliders [69,70]. At temperatures below the QCD phase transition, finite temperature corrections to the pion mass and decay constant become important and non-trivial [71].…”
Section: Introductionmentioning
confidence: 99%
“…It is generally accepted that π mesons, the lowest lying QCD bound states, will be produced in abundance and this has motivated thorough studies of pions near the QCD phase transition. Near the phase transition, stable long wavelength pion excitations are developed which may be detectable signatures in heavy ion colliders [69,70]. At temperatures below the QCD phase transition, finite temperature corrections to the pion mass and decay constant become important and non-trivial [71].…”
Section: Introductionmentioning
confidence: 99%
“…Instead, in this section, we study the production from pion decay by relying on the well understood effective field theory description of weak interactions of pions, enhanced by the results of a systematic program that studied finite temperature corrections to the pion decay constant and mass implementing non-perturbative techniques from chiral perturbation theory, linear and non-linear sigma models and lattice gauge theory [105][106][107][108][109][110][111][112][113][114][115][116][117][118][119][120]. There are at least three important reasons that motivate this study: (1) it is a clear and relevant example of the quantum kinetic equation approach to production and freeze out that includes consistently finite temperature corrections.…”
Section: Sterile Neutrinos From Pion Decaymentioning
confidence: 99%
“…Instead, in this section we study the production from pion decay by relying on the well understood effective field theory description of weak interactions of pions, enhanced by the results of a systematic program that studied finite temperature corrections to the pion decay constant and mass implementing non-perturbative techniques from chiral perturbation theory, linear and non-linear sigma models and lattice gauge theory [164][165][166][167][168][169][170][171][172][173][174][175][176][177][178][179][180][181]. There are at least three important reasons that motivate this study: 1) it is a clear and relevant example of the quantum kinetic equation approach to production and freeze out that includes consistently finite temperature corrections.…”
Section: Jcap06(2016)011mentioning
confidence: 99%