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Cortés, Santiago and Gómez Nicola, Ángel and Morales, John (2016) LargeN pion scattering at finite temperature: The f_0(500) and chiral restoration. Physical Review D, 93 (3). ISSN 15507998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.93.036001
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http://journals.aps.org  Publisher 
Abstract
We consider the O(N + 1)/O(N) nonlinear sigma model for large N as an effective theory for lowenergy QCD at finite temperature T, in the chiral limit. At T = 0 this formulation provides a good description of scattering data in the scalar channel and dynamically generates the f_0(500) pole, the pole position lying within experimental determinations. Previous T = 0 results with this model are updated using newer analysis of pion scattering data. We calculate the pion scattering amplitude at finite T and show that it exactly satisfies thermal unitarity, which had been assumed but not formally proven in previous works. We discuss the main differences with the T = 0 result, and we show that one can define a proper renormalization scheme with T = 0 counterterms such that the renormalized amplitude can be chosen to depend only on a few parameters. Next, we analyze the behavior of the f_0(500) pole at finite T, which is consistent with chiral symmetry restoration when the scalar susceptibility is saturated by the f_0(500) state, in a secondorder transition scenario and in accordance with lattice and theoretical analysis.
Item Type:  Article 

Additional Information:  © 2016 American Physical Society. 
Uncontrolled Keywords:  Nonlinear sigmamodel; Toleading order; Perturbationtheory; Oneloop; Phasetransition; Quark matter; Lowenergy; Limit; Lagrangians; Expansion. 
Subjects:  Sciences > Physics 
ID Code:  36520 
Deposited On:  30 Mar 2016 16:53 
Last Modified:  10 Dec 2018 15:09 
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