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Título:
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Large-N pion scattering at finite temperature: The f(0)(500) and chiral restoration
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Autores:
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Cortés, Santiago ;
Gómez Nicola, Ángel ;
Morales, John
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Tipo de documento:
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texto impreso
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Editorial:
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Amer Physical Soc, 2016-02-05
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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We consider the O(N + 1)/O(N) nonlinear sigma model for large N as an effective theory for low-energy 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 second-order transition scenario and in accordance with lattice and theoretical analysis.
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En línea:
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https://eprints.ucm.es/id/eprint/41866/1/gnicola51libre.pdf
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