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

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

2009-12-29

arxiv.org/abs/0912.5289v2

Phys.Rev.D81:116004,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

65 pages, 12 figures

Scientific paper

10.1103/PhysRevD.81.116004

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.

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