Chisholm-Caianiello-Fubini Identities for S=1 Barut-Muzinich-Williams Matrices
M. de G. Caldera Cabral, V. V. Dvoeglazov
TL;DR
This paper derives identities for S=1 Barut-Muzinich-Williams matrices, analogous to Chisholm-Caianiello-Fubini identities, to facilitate higher-order calculations in high-energy physics involving spin-1 particles.
Contribution
It introduces new identities for relativistic products of S=1 matrices, aiding complex calculations in the Weinberg formalism for high-energy processes.
Findings
Derived identities for S=1 matrices similar to known identities.
Facilitates higher-order calculations in high-energy physics.
Applicable within the Weinberg formalism for spin-1 particles.
Abstract
The formulae of the relativistic products are found S=1 Barut-Muzinich-Williams matrices. They are analogs of the well-known Chisholm-Caianiello-Fubini identities. The obtained results can be useful in the higher-order calculations of the high-energy processes with S=1 particles in the framework of the 2(2S+1) Weinberg formalism, which recently attracted attention again. PACS numbers: 02.90.+p, 11.90.+t, 12.20.Ds
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