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Abstract <p>We study massive Majorana neutrinos in background matter. Representing these particles in terms of Weyl spinors, we carry out their quantization. The propagators of these fields are also constructed. Then, we apply the Hamilton dynamics based formalism to describe massive Majorana neutrinos in matter on the classical level. Finally, we study a classical Dirac particle in vacuum, described with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(c\)</EquationSource> <!--NuclPhys2660003Dvornikov-m1--> </InlineEquation>-number variables, within the Hamilton formalism. Such a Dirac field is also canonically quantized.</p>

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Quantization of Massive Fermions in Vacuum and External Fields

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • Maxim Dvornikov

摘要

Abstract

We study massive Majorana neutrinos in background matter. Representing these particles in terms of Weyl spinors, we carry out their quantization. The propagators of these fields are also constructed. Then, we apply the Hamilton dynamics based formalism to describe massive Majorana neutrinos in matter on the classical level. Finally, we study a classical Dirac particle in vacuum, described with \(c\) -number variables, within the Hamilton formalism. Such a Dirac field is also canonically quantized.