General (anti-)commutators of gamma matrices
Wolfgang Mueck
TL;DR
This paper derives general formulas for the commutators and anticommutators of gamma matrices with arbitrary antisymmetrized indices, providing a comprehensive mathematical framework for their algebraic properties.
Contribution
It introduces a unified approach to compute (anti-)commutators of gamma matrices with any number of antisymmetrized indices, extending previous specific cases.
Findings
Provides explicit formulas for gamma matrix (anti-)commutators
Enables simplified calculations in quantum field theory
Facilitates algebraic manipulations involving gamma matrices
Abstract
Commutators and anticommutators of gamma matrices with arbitrary numbers of (antisymmetrized) indices are derived.
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Taxonomy
TopicsMatrix Theory and Algorithms · Quantum chaos and dynamical systems · Mathematics and Applications