Representation-independent manipulations with Dirac matrices and spinors

2007/03/23 by Palash B. Pal, Pal, Palash B. · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms #Physics Education (physics.ed-ph)

paper · pdf · doi:10.48550/arxiv.physics/0703214

openalex publication_date 2007/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Dirac matrices, also known as gamma matrices, are defined only up to a similarity transformation. Usually, some explicit representation of these matrices is assumed in order to deal with them. In this article, we show how it is possible to proceed without any such assumption. Various important identities involving Dirac matrices and spinors have been derived without assuming any representation at any stage.

Cited by

• Combinatorial aspects in the one-loop renormalization of higher derivative theories

Related

• Notes on basis-independent computations with the Dirac algebra
• Bit-Twiddling Hacks for Gamma Matrices
• How to generate spinor representations in any dimension in terms of projection operators
• What Is the Generalized Representation of Dirac Equation in Two Dimensions?
• The Real Dirac Equation