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Towards the Structure of a Cubic Interaction Vertex for Massless Integer Higher Spin Fields

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

The structure of cubic Lagrangian vertex corresponding to the irreducible fields with helicities, \({{s}_{1}},{{s}_{2}},{{s}_{3}}\) in d-dimensional Minkowski space is clarified. The explicit form of the operator \({{\mathcal{Z}}_{j}}\) entering the vertex in a nonmultiplicative way (for \(j = 1\) considered in [6]) is obtained. The solution has been derived within BRST approach with complete BRST operators, which contain all constraints corresponding to the conditions that extract the irreducible fields, including trace operators.

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ACKNOWLEDGMENTS

The author is grateful to I.L. Buchbinder for helpful discussions of the presented results.

Funding

The work was supported by the Ministry of Science and Higher Education of the Russian Federation, project no. FEWF-2020-003.

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Authors and Affiliations

  1. Center for Theoretical Physics, Tomsk State Pedagogical University, Tomsk, Russia

    A. A. Reshetnyak

  2. National Research Tomsk Polytechnic University, Tomsk, Russia

    A. A. Reshetnyak

  3. National Research Tomsk State University, Tomsk, Russia

    A. A. Reshetnyak

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  1. A. A. Reshetnyak
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Reshetnyak, A.A. Towards the Structure of a Cubic Interaction Vertex for Massless Integer Higher Spin Fields. Phys. Part. Nuclei Lett. 19, 631–637 (2022). https://doi.org/10.1134/S1547477122060188

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  • DOI: https://doi.org/10.1134/S1547477122060188

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