دورية أكاديمية
General massless field equations for higher spin in dimension 4.
| العنوان: | General massless field equations for higher spin in dimension 4. |
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| المؤلفون: | Lávička, Roman, Souček, Vladimír, Wang, Wei |
| المصدر: | Mathematical Methods in the Applied Sciences; Jul2024, Vol. 47 Issue 10, p7949-7961, 13p |
| مصطلحات موضوعية: | CAUCHY-Riemann equations, EQUATIONS, PARTICLE physics, CLIFFORD algebras, HOMOGENEOUS polynomials |
| مستخلص: | 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. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: | Complementary Index |
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