Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-03-28
Phys.Lett.B641:386-392,2006
Physics
High Energy Physics
High Energy Physics - Theory
12 pages
Scientific paper
10.1016/j.physletb.2006.08.060
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 Poincare 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 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.
Buchbinder Ioseph L.
Krykhtin V. A.
Ryskina L. L.
Takata Hiroyuki
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