Gauge Theory by canonical Transformations
High Energy Physics - Theory
2016-06-03 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1601.08218,
title = {Gauge Theory by canonical Transformations},
author = {Adrian Koenigstein and Johannes Kirsch and Horst Stoecker and Juergen Struckmeier and David Vasak and Matthias Hanauske},
journal= {arXiv preprint arXiv:1601.08218},
year = {2016}
}
Comments
27 pages