Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background

2015/01/14 by I. L. Buchbinder, V.A. Krykhtin, V. A. Krykhtin +2 · 11 citations
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Electromagnetic field #Gauge boson #Gauge fixing #Gauge symmetry #Gauge theory #Geometry #Hamiltonian lattice gauge theory #Homogeneous space #Introduction to gauge theory #Invariant (physics) #Lagrangian #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2015.04.008

published in Nuclear Physics B 896, 1-18 (Elsevier BV) · 22 pages

arxiv created 2015/01/14 · openalex publication_date 2015/04/15 · arxiv updated 2015/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field. A procedure for finding the gauge-invariant Lagrangians is based on the BRST construction where no off-shell constraints on the fields and on the gauge parameters are imposed from the very beginning. As an example of the general procedure, we derive a gauge invariant Lagrangian for a massive fermionic field with spin 3/2 which contains a set of auxiliary fields and gauge symmetries.

Citations

• Higher Spins and String Interactions
• Aspects of Higher-Spin Theory with Fermions
• Introduction to the Classical Theory of Higher Spins
• Quartet unconstrained formulation for massless higher spin fields
• Noncausality and Other Defects of Interaction Lagrangians for Particles with Spin One and Higher
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• Higher spins in hyperspace
• Propagation and Quantization of Rarita-Schwinger Waves in an External Electromagnetic Potential
• Nonlinear higher spin theories in various dimensions
• Higher spin gauge theories in various dimensions
• Elements of Vasiliev theory
• The BRST-invariant effective action of shadows, conformal fields, and the AdS/CFT correspondence
• Higher-Spin Interactions: three-point functions and beyond

Cited by

• Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field