Finite temperature pion vector form factors in Chiral Perturbation Theory

Abstract

We discuss the thermal behaviour of the pion vector form factors and calculate them in one-loop Chiral Perturbation Theory. The perturbative result is used to analyze the $T$-dependent electromagnetic pion charge radius, obtaining a rough estimate of the deconfinement critical temperature. Imposing thermal unitarity, we generate the $\rho$ resonance pole for the form factor in the center of mass frame. The $\rho$ peak height in the modulus of the form factor decreases for increasing temperature, while its width increases and the peak position is slightly shifted downwards for $T\simeq$ 150 MeV. These results point in the direction suggested by many analysis of dilepton production data in relativistic heavy ion collisions.

15 pages, 4 figures, final version to appear in Phys.Lett.B, added references and comments, abstract changed

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Cited by in corpus (9)

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• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Pion scattering poles and chiral symmetry restoration
• The role of the thermal $f_0(500)$ in chiral symmetry restoration
• Chiral Symmetry and light resonances in hot and dense matter
• Chiral restoration at finite temperature with meson loop corrections
• The pion-kaon scattering amplitude and the $K^0(700)$ and $K^{\ast }(892)$ resonances at finite temperature
• Electromagnetic fields and transport coefficients in a hot pion gas
• Electromagnetic vertex function of the pion at T > 0