### 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.

Original language | English |
---|---|

Pages (from-to) | 694-721 |

Number of pages | 28 |

Journal | Nuclear Physics B |

Volume | 864 |

Issue number | 3 |

DOIs | |

Publication status | Published - 21 Nov 2012 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*864*(3), 694-721. https://doi.org/10.1016/j.nuclphysb.2012.07.012

**Cubic interaction vertex of higher-spin fields with external electromagnetic field.** / Buchbinder, I. L.; Snegirev, T. V.; Zinoviev, Y. M.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 864, no. 3, pp. 694-721. https://doi.org/10.1016/j.nuclphysb.2012.07.012

}

TY - JOUR

T1 - Cubic interaction vertex of higher-spin fields with external electromagnetic field

AU - Buchbinder, I. L.

AU - Snegirev, T. V.

AU - Zinoviev, Y. M.

PY - 2012/11/21

Y1 - 2012/11/21

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84864749649&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84864749649&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2012.07.012

DO - 10.1016/j.nuclphysb.2012.07.012

M3 - Article

VL - 864

SP - 694

EP - 721

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -