Symplectic Field Theories: Scalar and Spinor Representations
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Undergraduate course
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Springer
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Article
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Acesso aberto
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Abstract
Using elements of symmetry, as gauge invariance, aspects of field theories represented in symplectic space are introduced and analyzed under physical bases. The states of a system are described by symplectic wave functions, which are associated with the Wigner function. Such wave functions are vectors in a Hilbert space introduced from the cotangent-bundle of the Minkowski space. The symplectic Klein-Gordon and the Dirac equations are derived, and a minimum coupling is considered in order to analyze the Landau problem in phase space.
Description
Keywords
Moyal product, Phase space, Field theory
Language
English
Citation
Advances In Applied Clifford Algebras. Basel: Springer Basel Ag, v. 28, n. 1, 18 p., 2018.
