Gauge Models in Modified Triplectic Quantization

作者: P. Yu. Moshin , B. Geyer , B. Geyer , P. M. Lavrov , P. M. Lavrov

DOI: 10.1142/S0217751X01005237

关键词:

摘要: The modified triplectic quantization is applied to several well-known gauge models: the Freedman–Townsend model of non-Abelian antisymmetric tensor fields, W2 gravity, and 2D gravity with dynamical torsion. For these models we obtain explicit solutions those generating equations that determine quantum action gauge-fixing functional. Using solutions, construct vacuum functional, Sp(2)-invariant effective actions corresponding transformations extended BRST symmetry.

参考文章(49)
I.V. Tyutin, Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism arXiv: High Energy Physics - Theory. ,(1975)
A. Nersessian, P.H. Damgaard, Comments on the covariant Sp(2)-symmetric Lagrangian BRST formalism Physics Letters B. ,vol. 355, pp. 150- 156 ,(1995) , 10.1016/0370-2693(95)00750-F
M.-E. Pistol, M. Gerling, D. Hessman, L. Samuelson, Properties of thin strained layers of GaAs grown on InP. Physical Review B. ,vol. 45, pp. 3628- 3635 ,(1992) , 10.1103/PHYSREVB.45.3628
Giorgio Rossi, Giancarlo Panaccione, Fausto Sirotti, Effect of S segregation on the surface magnetism of Fe(100). Physical Review B. ,vol. 54, pp. 4080- 4086 ,(1996) , 10.1103/PHYSREVB.54.4080
M.O Katanaev, I.V Volovich, Two-dimensional gravity with dynamical torsion and strings Annals of Physics. ,vol. 197, pp. 1- 32 ,(1990) , 10.1016/0003-4916(90)90200-8
M. O. Katanaev, Complete integrability of two‐dimensional gravity with dynamical torsion Journal of Mathematical Physics. ,vol. 31, pp. 882- 891 ,(1990) , 10.1063/1.528823
Wolfgang Kummer, Dominik J. Schwarz, Renormalization of R2 gravity with dynamical torsion in d=2 Nuclear Physics. ,vol. 382, pp. 171- 186 ,(1992) , 10.1016/0550-3213(92)90083-N
P. M. Lavrov, P. Yu. Moshin, Quantization of model of antisymmetric tensor field in the framework of extended BRST symmetry Theoretical and Mathematical Physics. ,vol. 104, pp. 1098- 1103 ,(1995) , 10.1007/BF02068741
C. M. HULL, THE BRST AND ANTI-BRST INVARIANT QUANTIZATION OF GENERAL GAUGE THEORIES Modern Physics Letters A. ,vol. 05, pp. 1871- 1881 ,(1990) , 10.1142/S0217732390002122