2006/03/31 by I. L. Buchbinder, V.A. Krykhtin, V. A. Krykhtin +3 · 3 citations
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Equations of motion #Fock space #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge symmetry #Gauge theory #Invariant (physics) #Lagrangian #Massless particle #Mathematical physics #Numerical methods for differential equations #Operator (biology) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spin (aerodynamics) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.physletb.2006.08.060
published as Phys.Lett.B641:386-392,2006 · 12 pages
arxiv created 2006/04/04 · openalex publication_date 2006/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincaré group with given spin as the operator constraints in auxiliary Fock space, we built the BRST charge for the model under consideration and find the gauge invariant equations of motion in terms of vectors and operators in the Fock space. It is shown that like in massless case [I.L. Buchbinder, V.A. Krykhtin, A. Pashnev, Nucl. Phys. B 711 (2005) 367, hep-th/0410215], the massive fermionic higher spin field models are the reducible gauge theories and the order of reducibility grows with the value of spin. In compare with all previous approaches, no off-shell constraints on the fields and the gauge parameters are imposed from the very beginning, all correct constraints emerge automatically as the consequences of the equations of motion. As an example, we derive a gauge invariant Lagrangian for massive spin 3/2 field.