On Problems of the Lagrangian Quantization of W3-gravity
作者： D.M.Gitman , B.Geyer , P.M.Lavrov
DOI: 10.1142/S0217751X0301526X
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摘要: We consider the two-dimensional model of W3-gravity within Lagrangian quantization methods for general gauge theories. use Batalin-Vilkovisky formalism to study arbitrariness in realization algebra. obtain a one-parametric non-analytic extension algebra, and corresponding solution classical master equation, related via an anticanonical transformation analytic realization. investigate possibility closed solutions equation Sp(2)-covariant show that such do not exist approximation up third order ghost auxiliary fields.
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sci-hub.st 参考文章(9)
P. Yu. Moshin, B. Geyer, B. Geyer, P. M. Lavrov, P. M. Lavrov, Gauge Models in Modified Triplectic Quantization International Journal of Modern Physics A. ,vol. 16, pp. 4297- 4319 ,(2001) , 10.1142/S0217751X01005237
C.M. Hull, Gauging the Zamolodchikov W-algebra Physics Letters B. ,vol. 240, pp. 110- 116 ,(1990) , 10.1016/0370-2693(90)90417-5
A. M. POLYAKOV, Quantum Gravity in Two Dimensions Modern Physics Letters A. ,vol. 2, pp. 893- 898 ,(1987) , 10.1142/S0217732387001130
S Vandoren, A Van Proeyen, Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral W(3) gravity Nuclear Physics. ,vol. 411, pp. 257- 306 ,(1994) , 10.1016/0550-3213(94)90060-4
Frank De Jonghe, The Batalin-Vilkovisky Lagrangian Quantization scheme: with applications to the study of anomalies in gauge theories arXiv: High Energy Physics - Theory. ,(1994)
P.M. LAVROV, P. YU. MOSHIN, A.A. RESHETNYAK, IRREDUCIBLE GAUGE THEORIES IN THE FRAMEWORK OF THE Sp(2)-COVARIANT QUANTIZATION METHOD International Journal of Modern Physics A. ,vol. 11, pp. 3097- 3125 ,(1996) , 10.1142/S0217751X96001498
A. Van Proeyen, S. Vandoren, Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral $W_3$ gravity arXiv: High Energy Physics - Theory. ,(1993) , 10.1016/0550-3213(94)90060-4
B. GEYER, P. M. LAVROV, P. YU. MOSHIN, Gauge models in modified triplectic quantization arXiv: High Energy Physics - Theory. ,(2000) , 10.1142/S0217751X01005237
Joaquim Gomis, Jordi París, Stuart Samuel, Antibracket, antifields and gauge-theory quantization Physics Reports. ,vol. 259, pp. 1- 145 ,(1995) , 10.1016/0370-1573(94)00112-G