Gauge theory by canonical transformations

被引：3

作者：

Koenigstein, Adrian ^{[1
,2
]}

Kirsch, Johannes ^{[2
]}

Stoecker, Horst ^{[1
,2
,3
]}

Struckmeier, Juergen ^{[1
,2
,3
]}

Vasak, David ^{[2
]}

Hanauske, Matthias ^{[1
,2
]}

机构：

[1] Goethe Univ Frankfurt, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt, Germany

[2] Frankfurt Inst Adv Studies, Ruth Moufang Str 1, D-60438 Frankfurt, Germany

[3] GSI Helmholtzzentrum Schwerionenforsch, Planckstr 1, D-64291 Darmstadt, Germany

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS | 2016年 / 25卷 / 07期

关键词：

Gauge theory; canonical transformation; Hamilton formalism; de Donder-Weyl theory; scalar electrodynamics; field theory; FIELD-THEORY; FORMALISM; CALCULUS;

D O I：

10.1142/S0218301316420052

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Electromagnetism, the strong and the weak interactions 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 behavior 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.

引用

页数：31

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