TY - JOUR

T1 - Thermal corrections to π-π Scattering lengths in the linear sigma model

AU - Loewe, M.

AU - Martinez-Villalobos, C.

PY - 2008/5/8

Y1 - 2008/5/8

N2 - In this article we address the problem of getting the temperature dependence of the π-π scattering lengths in the frame of the linear sigma model. Using the real time formalism, we calculate all the relevant one loop diagrams. The temperature corrections are only considered in the pion sector, due to the Boltzmann suppression for heavier fields like the sigma meson. From this analysis we obtain the thermal behavior of the s waves scattering lengths a00 and a02 associated to isospin I=0 and I=2, respectively. If we normalize with the zero temperature value it turns out that a00(T)a00 grows with temperature, whereas the opposite occurs with a02(T)a02. Finally we compare our results with other determinations of the scattering lengths based on the Nambu-Jona-Lasinio model and chiral perturbation theory.

AB - In this article we address the problem of getting the temperature dependence of the π-π scattering lengths in the frame of the linear sigma model. Using the real time formalism, we calculate all the relevant one loop diagrams. The temperature corrections are only considered in the pion sector, due to the Boltzmann suppression for heavier fields like the sigma meson. From this analysis we obtain the thermal behavior of the s waves scattering lengths a00 and a02 associated to isospin I=0 and I=2, respectively. If we normalize with the zero temperature value it turns out that a00(T)a00 grows with temperature, whereas the opposite occurs with a02(T)a02. Finally we compare our results with other determinations of the scattering lengths based on the Nambu-Jona-Lasinio model and chiral perturbation theory.

UR - http://www.scopus.com/inward/record.url?scp=43949086222&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.77.105006

DO - 10.1103/PhysRevD.77.105006

M3 - Article

AN - SCOPUS:43949086222

SN - 1550-7998

VL - 77

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 10

M1 - 105006

ER -