Eur. Phys. J. C (2007) 50: 385-403
https://doi.org/10.1140/epjc/s10052-006-0171-9

Regular Article - Theoretical Physics

On different lagrangian formalisms for vector resonances within chiral perturbation theory

Institute of Particle and Nuclear Physics, Charles University, V Holešovičkách 2, 180 00, Prague 8, Czech Republic

^* e-mail: kampf@ipnp.troja.mff.cuni.cz

Received: 15 September 2006
Revised: 30 October 2006
Published online: 9 February 2007

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 a concrete VVP correlator.