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

Abstract

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.

arXiv commentRevtex4, 6 pages, 5 figures

References in corpus (4)

• Pi-Pi scattering lengths at finite temperature
• Thermal Renormalons in Scalar Field Theory
• Thermal Corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Pi-Pi Scattering Lengths in the Light of Precision Measurements

Cited by in corpus (7)

• The nNJL model with a fractional Lorentzian regulator in the real time formalism
• Magnetic Corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Thermal nonlocal Nambu--Jona-Lasinio model in the real time formalism
• A new perspective for the magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Unstable quasiparticles as a source of thermodynamic instabilities in the thermal nonlocal Nambu-Jona-Lasinio model
• Thermo-magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• The pion-kaon scattering amplitude and the $K^0(700)$ and $K^{\ast }(892)$ resonances at finite temperature