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Эта публикация цитируется в 30 научных статьях (всего в 30 статьях)
Cubic interaction vertex of higher-spin fields with external electromagnetic field
I. L. Buchbinderab, T. V. Snegirevb, Yu. M. Zinovievc a The Erwin Schrödinger International Institute for Mathematical Physics, A-1090, Vienna, Austria
b Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk 634061, Russia
c Institute for High Energy Physics, Protvino, Moscow Region, 142280, Russia
Аннотация:
We fulfill the detailed analysis of coupling the charged bosonic higher-spin fields to external constant electromagnetic field in first order in external field strength. Cubic interaction vertex of arbitrary massive and massless bosonic higher-spin fields with external field is found. Construction is based on deformation of free Lagrangian and free gauge transformations by terms linear in electromagnetic field strength. In massive case a formulation with Stueckelberg fields is used. We begin with the most general form of deformations for Lagrangian and gauge transformations, admissible by Lorentz covariance and gauge invariance and containing some number of arbitrary coefficients, and require the gauge invariance of the deformed theory in first order in strength. It yields the equations for the coefficients which are exactly solved. As a result, the complete interacting Lagrangian of arbitrary bosonic higher-spin fields with constant electromagnetic field in first order in electromagnetic strength is obtained. Causality of massive spin-2 and spin-3 fields propagation in the corresponding electromagnetic background is proved.
Поступила в редакцию: 11.05.2012 Исправленный вариант: 10.07.2012 Принята в печать: 12.07.2012
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