Abstract:
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.
I.L.B. and T.V.S. are grateful to the grant for LRSS, project No. 224.2012.2 and RFBR grant, project No. 12-02-00121-a for partial support. Work of I.L.B. was also partially supported by RFBR-Ukraine grant, project No. 11-02-9045. Work of Yu.M.Z. was supported in part by RFBR grant No. 11-02-00814.
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Maxim Grigoriev, Vyacheslav Gritzaenko, “Massive bigravity as a presymplectic BV-AKSZ sigma-model”, J. High Energ. Phys., 2025:1 (2025)
William Delplanque, “All actions for free massive higher-spin fields”, Phys. Rev. D, 111:4 (2025)
Evgeny Skvortsov, Mirian Tsulaia, “Cubic action for spinning black holes from massive higher-spin gauge symmetry”, J. High Energ. Phys., 2024:2 (2024)
Melik Karapetyan, Ruben Manvelyan, Karapet Mkrtchyan, “On correlation functions of higher-spin currents in arbitrary dimensions d > 3”, J. High Energ. Phys., 2024:3 (2024)
V. E. Didenko, E. D. Skvortsov, Lecture Notes in Physics, 1028, Introductory Lectures on Higher-Spin Theories, 2024, 269
Lukas W. Lindwasser, “Consistent actions for massive particles interacting with electromagnetism and gravity”, J. High Energ. Phys., 2024:8 (2024)
William Delplanque, Evgeny Skvortsov, “Massive spin three-half field in a constant electromagnetic background”, J. High Energ. Phys., 2024:8 (2024)
R. Rahman, M. Taronna, Lecture Notes in Physics, 1028, Introductory Lectures on Higher-Spin Theories, 2024, 1
Lucile Cangemi, Marco Chiodaroli, Henrik Johansson, Alexander Ochirov, Paolo Pichini, Evgeny Skvortsov, “Compton Amplitude for Rotating Black Hole from QFT”, Phys. Rev. Lett., 133:7 (2024)
Lucile Cangemi, Marco Chiodaroli, Henrik Johansson, Alexander Ochirov, Paolo Pichini, Evgeny Skvortsov, “From higher-spin gauge interactions to Compton amplitudes for root-Kerr”, J. High Energ. Phys., 2024:9 (2024)
William Delplanque, Evgeny Skvortsov, “Symmetric vs. chiral approaches to massive fields with spin”, Class. Quantum Grav., 41:24 (2024), 245018
Marco Chiodaroli, Henrik Johansson, Paolo Pichini, “Compton black-hole scattering for s ≤ 5/2”, J. High Energ. Phys., 2022:2 (2022)
Elias L. Mendonça, H. L. Oliveira, “Reaching out a geometrical description for spin-4 self-dual models in
D=2+1”, Phys. Rev. D, 105:2 (2022)
I. L. Buchbinder, S. James Gates, K. Koutrolikos, “Superspace first order formalism, trivial symmetries and electromagnetic interactions of linearized supergravity”, J. High Energ. Phys., 2021:9 (2021)
Karim Benakli, Nathan Berkovits, Cassiano A. Daniel, Matheus Lize, “Higher-spin states of the superstring in an electromagnetic background”, J. High Energ. Phys., 2021:12 (2021)
I. L. Buchbinder, S. James Gates, K. Koutrolikos, “Hierarchy of supersymmetric higher spin connections”, Phys. Rev. D, 102:12 (2020)
R. R. Metsaev, “Conformal Totally Symmetric Arbitrary Spin Fermionic Fields”, Proc. Steklov Inst. Math., 309 (2020), 202–218
I. L. Buchbinder, V. A. Krykhtin, “Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field”, Eur. Phys. J. C, 75:9 (2015)
M. A. Vasiliev, Lecture Notes in Physics, 892, Modifications of Einstein's Theory of Gravity at Large Distances, 2015, 227
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