Gauge invariant Lagrangian construction for massive higher spin fermionic fields

被引:51
作者
Buchbinder, I. L.
Krykhtin, V. A. [1 ]
Ryskina, L. L.
Takata, H.
机构
[1] Tomsk Polytech Univ, Phys Math Lab, Tomsk 634050, Russia
[2] Tomsk Polytech Univ, Dept Theoret & Expt Phys, Tomsk 634050, Russia
[3] Tomsk State Pedagog Univ, Dept Therapeut Phys, Tomsk 634041, Russia
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1016/j.physletb.2006.08.060
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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 [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. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:386 / 392
页数:7
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