Canonical transformations and gauge fixing in the triplectic quantization |
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| Institution: | 1. School of Materials Science and Engineering, School of Chemistry and Chemical Engineering, Tianjin University of Technology, Tianjin, 300384, China;2. Zhejiang–California International Nanosystems Institute, Zhejiang University, Hangzhou 310012, China;1. Leuphana University Lueneburg, Faculty of Business and Economics, Institute of Management, Accounting & Finance (IMAF), Universitaetsallee 1, 21335, Lueneburg, Germany;2. OWL University of Applied Sciences and Arts, Department of Business Administration and Economics, Campusallee 12, 32657, Lemgo, Germany;3. University of Southern Denmark, Department of Business and Economics, Universitetsparken 1, 6000, Kolding, Denmark;1. Chemical Engineering Department, Ningbo Polytechnic, 388 Lushandong Road, Ningbo 315800, China;2. Environmental Engineering Department, Zhejiang University, 866 Yuhangtang Road, Hangzhou 310058, China |
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| Abstract: | We show that the generators of canonical transformations in the triplectic manifold must satisfy constraints that have no parallel in the usual field antifield quantization. A general form for these transformations is presented. Then we consider gauge fixing by means of canonical transformations in this Sp(2) covariant scheme, finding a relation between generators and gauge fixing functions. The existence of a wide class of solutions to this relation nicely reflects the large freedom of the gauge fixing process in the triplectic quantization. Some solutions for the generators are discussed. Our results are then illustrated by the example of Yang-Mills theory. |
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