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Труды Математического института имени В. А. Стеклова, 2011, том 272, страницы 212–226
(Mi tm3267)
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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Non-Abelian tensor gauge fields
George Savvidy Demokritos National Research Center, Institute of Nuclear Physics, Athens, Greece
Аннотация:
A recently proposed extension of Yang–Mills theory contains non-Abelian tensor gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and quartic terms describing nonlinear interaction of tensor gauge fields with the dimensionless coupling constant. We analyze the particle content of non-Abelian tensor gauge fields. In four-dimensional space-time the rank-2 gauge field describes propagating modes of helicity 2 and 0. We introduce interaction of the non-Abelian tensor gauge field with fermions and demonstrate that the free equation of motion for the spinor-vector field correctly describes the propagation of massless modes of helicity 3/2. We have found a new metric-independent gauge invariant density which is a four-dimensional analog of the Chern–Simons density. The Lagrangian augmented by this Chern–Simons-like invariant describes the massive Yang–Mills boson, providing a gauge invariant mass gap for a four-dimensional gauge field theory.
Поступило в апреле 2010 г.
Образец цитирования:
George Savvidy, “Non-Abelian tensor gauge fields”, Проблемы современной теоретической и математической физики. Калибровочные теории и суперструны, Сборник статей. К 70-летию со дня рождения академика Андрея Алексеевича Славнова, Труды МИАН, 272, МАИК «Наука/Интерпериодика», М., 2011, 212–226; Proc. Steklov Inst. Math., 272 (2011), 201–215
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tm3267 https://www.mathnet.ru/rus/tm/v272/p212
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