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Эта публикация цитируется в 6 научных статьях (всего в 6 статьях)
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
Herbert Balasina, Daniel N. Blaschkeb, François Gierescdef, Manfred Schwedaa a Institute for Theoretical Physics, Vienna University of Technology,
Wiedner Hauptstraße 8-10, A-1040 Vienna, Austria
b Los Alamos National Laboratory, Theory Division, Los Alamos, NM, 87545, USA
c Université Claude Bernard Lyon 1
d Université de Lyon
e Institut de Physique Nucléaire, Bat. P. Dirac, 4 rue Enrico Fermi, F-69622-Villeurbanne, France
f CNRS/IN2P3
Аннотация:
In analogy to Wong's equations describing the motion of a charged relativistic point particle in the presence of an external Yang–Mills field, we discuss the motion of such a particle in non-commutative space subject to an external $U_\star(1)$ gauge field. We conclude that the latter equations are only consistent in the case of a constant field strength. This formulation, which is based on an action written in Moyal space, provides a coarser level of description than full QED on non-commutative space. The results are compared with those obtained from the different Hamiltonian approaches. Furthermore, a continuum version for Wong's equations and for the motion of a particle in non-commutative space is derived.
Ключевые слова:
non-commutative geometry; gauge field theories; Lagrangian and Hamiltonian formalism; symmetries and conservation laws.
Поступила: 2 марта 2014 г.; в окончательном варианте 17 октября 2014 г.; опубликована 24 октября 2014 г.
Образец цитирования:
Herbert Balasin, Daniel N. Blaschke, François Gieres, Manfred Schweda, “Wong's Equations and Charged Relativistic Particles in Non-Commutative Space”, SIGMA, 10 (2014), 099, 21 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma964 https://www.mathnet.ru/rus/sigma/v10/p99
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