Superfield formulation of the phase space path integral |
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| Affiliation: | 1. Lebedev Physics Institute, 53 Leninisky Prospect, Moscow 117924, Russia;2. Institute for Fundamental Theory, Department of Physics, University of Florida, Gainesville, FL 32611, USA;3. The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark;1. Department of Materials Science and Engineering, Sichuan University, Chengdu 610064, PR China;2. Key Laboratory of Green Chemistry and Technology, Ministry of Education, Department of Chemistry, Sichuan University, Chengdu 610064, PR China;3. Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712, USA;1. Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk 634041, Russia;2. National Research Tomsk State University, Tomsk 634050, Russia;3. Department of Physics, Brown University, Box 1843, 182 Hope Street, Barus & Holley 545, Providence, RI 02912, USA |
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| Abstract: | We give a superfield formulation of the path integral on an arbitrary curved phase space, with or without first class constraints. Canonical tranformations and BRST transformations enter in a unified manner. The superpartners of the original phase space variables precisely conspire to produce the correct path integral measure, as Pfaffian ghosts. When extended to the case of second-class constraints, the correct path integral measure is again reproduced after integrating over the superpartners. These results suggest that the superfield formulation is of first-principle nature. |
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