Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances

Abstract

We study in detail various aspects of the renormalization of the spin-1 resonance propagator in the effective field theory framework. First, we briefly review the formalisms for the description of spin-1 resonances in the path integral formulation with the stress on the issue of propagating degrees of freedom. Then we calculate the one-loop 1-- meson self-energy within the Resonance chiral theory in the chiral limit using different methods for the description of spin-one particles, namely the Proca field, antisymmetric tensor field and the first order formalisms. We discuss in detail technical aspects of the renormalization procedure which are inherent to the power-counting non-renormalizable theory and give a formal prescription for the organization of both the counterterms and one-particle irreducible graphs. We also construct the corresponding propagators and investigate their properties. We show that the additional poles corresponding to the additional one-particle states are generated by loop corrections, some of which are negative norm ghosts or tachyons. We count the number of such additional poles and briefly discuss their physical meaning.

65 pages, 12 figures

References in corpus (17)

• Electromagnetic excitation of the Delta(1232)-resonance
• Towards a consistent estimate of the chiral low-energy constants
• Chiral Perturbation Theory Beyond One Loop
• A Rational Approach to Resonance Saturation in large-Nc QCD
• On the spectral functions of scalar mesons
• Infrared regularization for spin-1 fields
• On the radiative decays of light vector and axial-vector mesons
• Form-factors and current correlators: chiral couplings L_10(mu) and C_87(mu) at NLO in 1/N(C)
• Tests of the naturalness of the coupling constants in ChPT at order p^6
• On different lagrangian formalisms for vector resonances within chiral perturbation theory
• On-shell consistency of the Rarita-Schwinger field formulation
• On the relation between low-energy constants and resonance saturation
• Renormalization group equations in resonance chiral theory
• Resonance saturation of the chiral couplings at NLO in 1/Nc
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• On the structure of two-point Green-functions at next-to-leading order in 1/Nc
• Renormalization of the antisymmetric tensor field propagator and dynamical generation of the $1^{+-}$ mesons in Resonance Chiral Theory

Cited by in corpus (14)

• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• Meson dominance of hadron form factors and large-Nc phenomenology
• Electromagnetic transitions in an effective chiral Lagrangian with the eta-prime and light vector mesons
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• Chiral behavior of vector meson self energies
• On the chiral expansion of vector meson masses
• Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons
• OPE of Green Functions of Chiral Currents
• The spin jumping in the context of a QCD effective model
• On the three-point order parameters of chiral symmetry breaking
• Renormalized Kalb-Ramond model: duality and generalized potential
• High order chiral Lagrangians with vector mesons in different approaches
• Duality as a Method to Derive a Gauge Invariant Massive Electrodynamics and New Interactions