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Consistency of the $πΔ$ interaction in chiral perturbation theory

N. Wies·J. Gegelia·S. Scherer
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Abstract

We analyze the constraint structure of a spin-3/2 particle interacting with a pseudoscalar. Requiring the self consistency of the considered effective field theory imposes restrictions on the possible interaction terms. In the present case we derive two constraints among the three lowest-order $πΔ$ interaction terms. From these constraints we find that the total Lagrangian is invariant under the so-called point transformation. On the other hand, demanding the invariance under the point transformation alone is less stringent and produces only classes of relations among the coupling constants.

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N. Wies, J. Gegelia, S. Scherer. 2006-02-08. Consistency of the $πΔ$ interaction in chiral perturbation theory. https://doi.org/10.1103/physrevd.73.094012

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