The Källén-Lehmann representation for Lorentz-violating field theory

Details The Källén-Lehmann representation for Lorentz-violating field theory The Källén-Lehmann representation for Lorentz-violating field theory

2011-12-24

arxiv.org/abs/1112.5739v2

Physics

High Energy Physics

High Energy Physics - Theory

Some added clarifications, improved figure, and corrected typos

Scientific paper

We consider field-theoretic models, one consisting purely of scalars, the other also involving fermions, that couple to a set of constant background coupling coefficients transforming as a symmetric observer Lorentz two-tensor. We show that the exact propagators can be cast in the form of a K\"all\'en-Lehmann representation. We work out the resulting form of the Feynman propagators and the equal-time field commutators, and derive sum rules for the spectral density functions.

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