ON PROBLEMS OF THE LAGRANGIAN QUANTIZATION OF W3-GRAVITY-Reference-Cited by-同舟云学术

ON PROBLEMS OF THE LAGRANGIAN QUANTIZATION OF W3-GRAVITY

Published:2003-10-30 Issue:27 Volume:18 Page:5099-5125
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

GEYER B.¹²,GITMAN D. M.²,LAVROV P. M.³,MOSHIN P. YU.²³

Affiliation:

1. Center of Theoretical Studies, Leipzig University, Augustusplatz 10/11, D-04109 Leipzig, Germany

2. Instituto de Física, Universidade de São Paulo, Caixa Postal 66318-CEP, 05315-970 São Paulo, S.P., Brazil

3. Tomsk State Pedagogical University, 634041 Tomsk, Russia

Abstract

We consider the two-dimensional model of W3-gravity within Lagrangian quantization methods for general gauge theories. We use the Batalin–Vilkovisky formalism to study the arbitrariness in the realization of the gauge algebra. We obtain a one-parametric nonanalytic extension of the gauge algebra, and a corresponding solution of the classical master equation, related via an anticanonical transformation to a solution corresponding to an analytic realization. We investigate the possibility of closed solutions of the classical master equation in the Sp (2)-covariant formalism and show that such solutions do not exist in the approximation up to the third order in ghost and auxiliary fields.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X0301526X

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