On the mass term of the Dirac equation

2011/01/20 by Maciej Trzetrzelewski, Trzetrzelewski, Maciej
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #Spectral Theory in Mathematical Physics #hep-th

paper · pdf · doi:10.48550/arxiv.1101.3899

4 pages

openalex publication_date 2011/01/20 · arxiv created 2015/03/17 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the generalization of the Dirac equation where the mass term is an arbitrary matrix M. A general form of M, consistent with the mass shell constraint, is derived and proven to be equivalent to the original Dirac equation.

Citations

• The quantum theory of the electron

Related

• The Dirac Equation in the Model With a Maximal Mass
• On the derivation of the Dirac Equation
• Gauge fields of the matrix Dirac equation
• A Mass-in-Mass Chain and the Generalization of the Dirac Equation with an Eight-Component Wave Function and with Optical and Acoustic Branches of the Dispersion Relation
• The Dirac Equation Near Centenary: a Contemporary Introduction to the Dirac Equation Consideration