Renormalization of tensor self-energy in Resonance Chiral Theory

Details Renormalization of tensor self-energy in Resonance Chiral Theory Renormalization of tensor self-energy in Resonance Chiral Theory

2008-03-12

arxiv.org/abs/0803.1731v1

Fizika B17:349-354,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, presented by J.T. at Hadron structure 07, Slovakia

Scientific paper

We study the problems related to the renormalization of propagators in Resonance Chiral Theory, concentrating on the case of vector $1^{--}$ resonances in the antisymmetric tensor formalism. We have found that renormalization of the divergences of the self-energy graphs needs new type of kinetic counterterms with two derivatives which are not present in the original leading order Lagrangian. The general form of the propagator for antisymmetric tensor fields could then contain not only poles corresponding to the original $1^{--}$ resonance states but also to the additional states with opposite parity which decouple in the free field limit. In some cases, these dynamically generated additional states might be negative norm ghosts or tachyons.

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