Scattering of soft, cool pions

Abstract

Consider the effective lagrangian for pions in the chiral limit, computed to leading order in an expansion about zero temperature. To describe the scattering of pions with small momenta, it is necessary to include not just the usual shift in the pion decay constant, but also a new, nonlocal term, which is precisely analogous to the hard thermal loops of hot gauge theories.

4 pages, 2 figures, revtex + epsfig

References in corpus (2)

• Chiral symmetry at finite temperature: linear vs nonlinear $\sigma$-models
• Anomalous Processes in Effective Chiral Theories at High Temperatures

Cited by in corpus (19)

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• How pi0 -> gamma gamma changes with temperature
• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• Cosmological Implications of Light Sterile Neutrinos produced after the QCD Phase Transition
• Chiral Lagrangians at finite density
• The Fading of Symmetry Non-restoration at Finite Temperature
• The case for mixed dark matter from sterile neutrinos
• Hard Thermal Loops and Chiral Lagrangians
• Temperature dependence of the anomalous effective action of fermions in two and four dimensions
• Ambiguities in the zero momentum limit of the thermal ${\pi }^o\gamma \gamma$ triangle diagram
• The Electromagnetic Mass Difference of Pions at Low Temperature
• Degeneracy patterns of chiral companions at finite temperature
• On the Thermal Gauge Boson Masses of the Electroweak Theory in the Broken Phase
• Kinetics of hydrodynamic pions in chiral perturbation theory
• Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model
• Remarks on Goldstone bosons and hard thermal loops