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SUMMARY:Free Energy of a Large-N Pion Gas and Chiral Symmetry Restoration
DTSTART;VALUE=DATE-TIME:20170926T184500Z
DTEND;VALUE=DATE-TIME:20170926T190000Z
DTSTAMP;VALUE=DATE-TIME:20210306T024048Z
UID:indico-contribution-2628634@indico.cern.ch
DESCRIPTION:Speakers: Santiago Cortes (Universidad de los Andes)\nWe study
thermal properties of a large-$N$ massless pion gas via a low-energy QCD
approach given by an $O(N + 1)/O(N)$ nonlinear sigma model. In order to at
tain this\, we build diagrammatically the associated free energy to $O(TM^
{3})$ in the pion mass expansion through an effective vertex\; we consider
this since all its contributions coming from closed diagrams are to be ta
ken into account. At this perturbative order\, we do not have to deal with
tadpole-like divergences or higher order loop contributions\, thus yieldi
ng finite thermodynamical potentials. This allows us to calculate finite o
rder parameters such as the quark condensate and its respective derivative
\, i.e.\, the scalar susceptibility\, in the chiral limit\, along with the
ir associated critical exponents. These results are compared with our prev
ious unitarized scattering analyses\, where the chiral transition was stud
ied via thermal properties of the scalar resonance $f_{0}(500)$. After all
\nthis\, we finally show that these more recent results reasonably agree b
oth with lattice simulations and with our $f_{0}(500)$ studies for the chi
ral transition universality class.\n\nhttps://indico.cern.ch/event/578804/
contributions/2628634/
LOCATION:Auditorium Hall
URL:https://indico.cern.ch/event/578804/contributions/2628634/
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