NDLI: Noncommutativity and Parametrization of Fields: The Scalar Electrodynamics Case

Content Provider	Springer Nature Link
Author	Vergara, J. David Juarez, L. Roman Rosenbaum, Marcos
Copyright Year	2010
Abstract	The aim of this paper is to review the formalism of noncommutativity using canonical parametrization theory. In the first part we present the formalism for the case of Quantum Mechanics, and we show that using this approach and an appropriate basis we can get the noncommutativity expressed in terms of the Moyal product from the Dirac brackets of an extended phase space. We generalize our formalism to the context of Quantum Field Theory where we discuss the case of scalar electrodynamics. The interesting result is that our approach works correctly when we consider an interaction term between the gauge field and the scalar field. Finally, we present an argument that shows that gauge theories are not deformed if we use only noncommutativity of the coordinates.
Ending Page	705
Page Count	29
Starting Page	677
File Format	PDF
ISSN	01887009
e-ISSN	16614909
Journal	Advances in Applied Clifford Algebras
Issue Number	3
Volume Number	20
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2010-03-12
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Symmetries and conservation laws Noncommutative geometry methods star products Modular representations and characters Mathematical Methods in Physics Noncommutativity Theoretical, Mathematical and Computational Physics Lagrangian formalism and Hamiltonian formalism Applications of Mathematics Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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