Explicit generating functional for pions and virtual photons

Abstract

We construct the explicit one-loop functional of chiral perturbation theory for two light flavours, including virtual photons. We stick to contributions where 1 or 2 mesons and at most one photon are running in the loops. With the explicit functional at hand, the evaluation of the relevant Green functions boils down to performing traces over the flavour matrices. For illustration, we work out the pi+ pi- -> pi0 pi0 scattering amplitude at threshold at order p^4, e^2p^2.

20 pages, 2 figures; version accepted for publication, minor typographical changes, acknowledgments added

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Cited by in corpus (10)

• Chiral perturbation theory
• On the pion decay constant
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• Electromagnetic low-energy constants in ChPT
• Generating Functional for Strong and Nonleptonic Weak Interactions
• Two-loop representations of low-energy pion form factors and pi-pi scattering phases in the presence of isospin breaking
• Quantum Corrections in the Resonance Chiral Theory
• One-loop Renormalization of Resonance Chiral Theory with Scalar and Pseudoscalar Resonances
• Scalar susceptibilities and Electromagnetic thermal mass differences in Chiral Perturbation Theory
• Renormalization of chiral perturbation theory with spinless matter field in curved spacetime