Covariant multipole expansion of local currents for massive states of any spin - Archive ouverte HAL
Article Dans Une Revue Physical Review D Année : 2020

Covariant multipole expansion of local currents for massive states of any spin

Cédric Lorcé
Manuel Morales

Résumé

We study the structure of scalar, vector, and tensor currents for on shell massive particles of any spin. When considering higher values for the spin of the particle, the number of form factors (FFs) involved in the decomposition of the matrix elements associated with these local currents increases. We identify all the fundamental structures that give rise to the independent FFs, systematically for any spin value. These structures can be conveniently organized using an expansion in covariant multipoles, built solely from the Lorentz generators. This approach allows one to uniquely identify the terms which are universal and those that arise because of spin. We derive counting rules which relate the number of FFs to the total spin j of the state, showing explicitly that these rules match all the well-known cases up to spin 2.

Dates et versions

hal-02447947 , version 1 (21-01-2020)

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Citer

Sabrina Cotogno, Cédric Lorcé, Peter Lowdon, Manuel Morales. Covariant multipole expansion of local currents for massive states of any spin. Physical Review D, 2020, 101 (5), pp.056016. ⟨10.1103/PhysRevD.101.056016⟩. ⟨hal-02447947⟩
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