On different lagrangian formalisms for vector resonances within chiral perturbation theory

Abstract

We study the relation of vector Proca field formalism and antisymmetric tensor field formalism for spin-one resonances in the context of the large N_C inspired chiral resonance Lagrangian systematically up to the order O(p6) and give a transparent prescription for the transition from vector to antisymmetric tensor Lagrangian and vice versa. We also discuss the possibility to describe the spin-one resonances using an alternative "mixed" first order formalism, which includes both types of fields simultaneously, and compare this one with the former two. We also briefly comment on the compatibility of the above lagrangian formalisms with the high-energy constraints for concrete VVP correlator.

34 pages, 3 figures

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• The spin jumping in the context of a QCD effective model
• Masses of the lowest spin-0 and spin-1 meson nonets: explicit symmetry breaking effects
• On the three-point order parameters of chiral symmetry breaking
• Note on renormalization of the spin-1 resonance propagator at one loop order
• Renormalized Kalb-Ramond model: duality and generalized potential
• Tensor and vector formulations of resonance effective theory
• Hadronic and radiative decays of the tau lepton
• Duality as a Method to Derive a Gauge Invariant Massive Electrodynamics and New Interactions
• High order chiral Lagrangians with vector mesons in different approaches