Thermal Behaviour of $π-π$ Scattering Lengths in the Nambu--Jona-Lasinio model

Details Thermal Behaviour of $π-π$ Scattering Lengths in the Nambu--Jona-Lasinio model Thermal Behaviour of $π-π$ Scattering Lengths in the Nambu--Jona-Lasinio model

2008-05-23

arxiv.org/abs/0805.3719v1

Phys.Rev.D78:096007,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex4, 6 pages, 5 figures

Scientific paper

10.1103/PhysRevD.78.096007

We calculate the thermal evolution of $\pi-\pi$ scattering lengths, in the frame of the Nambu--Jona-Lasinio model. The thermal corrections were calculated at the one loop level using Thermofield Dynamics. We present also results for the pion thermal mass. Our procedure implies the modeling of a propagating scalar meson as a resumation of chains of quark bubbles, which is presented explicitly. We compare our results with previous analysis of this problem in the frame of different theoretical approaches.

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