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2007•International Journal of Modern Physics AOpen access

THE RARITA–SCHWINGER FIELD: RENORMALIZATION AND PHENOMENOLOGY

A. E. Kaloshin, V. P. Lomov

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Abstract

We discuss renormalization of propagator of interacting Rarita–Schwinger field. Spin-3/2 contribution after renormalization takes usual resonance form. For nonleading spin-1/2 terms we found procedure, which guarantees absence of poles in energy plane. The obtained renormalized propagator has one free parameter and is a straight generalization of the famous free propagator of Moldauer and Case. Application of this propagator for production of Δ++(1232) in π+ p →π+p leads to good description of total cross-section and to reasonable agreement with results of partial wave analysis.

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We discuss renormalization of propagator of interacting Rarita–Schwinger field. Spin-3/2 contribution after renormalization takes usual resonance form. For nonleading spin-1/2 terms we found procedure, which guarantees absence of poles in energy plane. The obtained renormalized propagator has one free parameter and is a straight generalization of the famous free propagator of Moldauer and Case. Application of this propagator for production of Δ++(1232) in π+ p →π+p leads to good description of total cross-section and to reasonable agreement with results of partial wave analysis.

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Available abstract

We discuss renormalization of propagator of interacting Rarita–Schwinger field. Spin-3/2 contribution after renormalization takes usual resonance form. For nonleading spin-1/2 terms we found procedure, which guarantees absence of poles in energy plane. The obtained renormalized propagator has one free parameter and is a straight generalization of the famous free propagator of Moldauer and Case. Application of this propagator for production of Δ++(1232) in π+ p →π+p leads to good description of total cross-section and to reasonable agreement with results of partial wave analysis.

Key concepts: Propagator, Physics, Renormalization, Phenomenology (philosophy), Quantum electrodynamics, Mathematical physics, Renormalization group, Quantum mechanics

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