The relationship between the gauged BRST symmetry and the ghost number symmetry |
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| Institution: | 1. Center for Theoretical Physics and College of Physics, Jilin University, Changchun 130012, PR China;2. Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, PR China;3. Peng Huanwu Center for Fundamental Theory, 96 Jinzhai Road, Hefei, Anhui 230026, PR China;1. Department of Physics, Bolu Abant Izzet Baysal University, 14280, Bolu, Türkiye;2. Department of Physics, Sivas Cumhuriyet University, 58140, Sivas, Türkiye;1. Center for Liberal Arts and Sciences, Sanyo-Onoda City University, Daigakudori 1-1-1, Sanyo-Onoda Yamaguchi 756-0884, Japan;2. Department of Physics, Nara Women''s University, Nara 630-8506, Japan;3. Osaka Central Advanced Mathematical Institute (OCAMI), Osaka Metropolitan University, 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan;4. Institute for Fundamental Sciences, Faculty of Science and Engineering, Setsunan University, 17-8, Ikedanaka-machi, Neyagawa, Osaka 572-8508, Japan |
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| Abstract: | A general method of gauging the BRST algebra by combining a (local) ghost number symmetry with the standard (global) BRST algebra, is displayed. This method enables us to construct an automatically nilpotent local BRST algebra and to obtain in a straightforward way the corresponding versions of the action and the eventual anomalies. To illustrate the procedure we study the Yang-Mills and the free bosonic string theories (including the “conformal” Beltrami parametrization) and show that it reproduces the results discussed in the literature. Two major outcomes of this scheme are briefly discussed: a possible connection between ghost number and BRST currents, arising from the Slavnov identities and the implications of the ghost number anomaly for the BRST localization program in theories such as string theory. |
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