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arXiv · 1601.08218

Gauge Theory by canonical Transformations

Adrian Koenigstein·Johannes Kirsch·Horst Stoecker·Juergen Struckmeier·David Vasak·Matthias Hanauske
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Abstract

Electromagnetism, the strong and the weak interaction are commonly formulated as gauge theories in a Lagrangian description. In this paper we present an alternative formal derivation of U(1)-gauge theory in a manifestly covariant Hamilton formalism. We make use of canonical transformations as our guiding tool to formalize the gauging procedure. The introduction of the gauge field, its transformation behaviour and a dynamical gauge field Lagrangian/Hamiltonian are unavoidable consequences of this formalism, whereas the form of the free gauge Lagrangian/Hamiltonian depends on the selection of the gauge dependence of the canonically conjugate gauge fields.

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Adrian Koenigstein, Johannes Kirsch, Horst Stoecker, Juergen Struckmeier, David Vasak, Matthias Hanauske. 2016-01-29. Gauge Theory by canonical Transformations. https://doi.org/10.1142/s0218301316420052

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