Lagrangian Formulation of Massive Fermionic Antisymm etric Field in Anti de Sitter Space
In this article we apply BRST approach to Lagrangian construction for massive fermionic fields in d-dimensional anti de Sitter space. The obtained Lagrangian theory is a reducible gauge model containing, besides the basic field, a number of auxiliary (Stuckelberg) fields and the order of reducibility grows with the value of the rank of the antisymmetric field. We show that one can get rid of all the auxiliary fields and the final Lagrangian for fermionic antisymmetric field is formulated only in terms of basic field.
Keywords: BRST-approach, higher spin field, massive fermionic fields, anti de Sitter space, BRST-operator, Lagrangian, gauge transformation
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Issue: 5, 2011
Series of issue: Issue 5
Rubric: Physics
Pages: 23 — 30
Downloads: 915