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- Title
General massless field equations for higher spin in dimension 4.
- Authors
Lávička, Roman; Souček, Vladimír; Wang, Wei
- Abstract
Massless field equations are fundamental in particle physics. In Clifford analysis, the Euclidean version of these equations has been dealt with, but it is not clear, even in dimension 4, what should be the right analogue of massless field equations for fields with values in a general irreducible Spin(4)‐module. The main aim of the paper is to explain that a good possibility is to take the so‐called generalized Cauchy–Riemann equations proposed a long time ago by Stein and Weiss. For this choice of the equations, we show that their polynomial solutions form different irreducible Spin(4)‐modules. This is an important step in developing the corresponding function theory.
- Subjects
CAUCHY-Riemann equations; EQUATIONS; PARTICLE physics; CLIFFORD algebras; HOMOGENEOUS polynomials
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 10, p7949
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.7598