A geometrical interpretation of parity violation in gravity with torsion |
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| Affiliation: | 1. Mehta Research Institute, Chhatnag Road, Jhusi, Allahabad - 221 019, India;2. Physics Department, Jadavpur University, Calcutta - 700 032, India;1. University of the Witwatersrand, South Africa;2. University of Sheffield, United Kingdom;1. Culture Collection University of Gothenburg (CCUG), Sahlgrenska Academy, University of Gothenburg, Gothenburg, Sweden;2. Department of Clinical Microbiology, Sahlgrenska University Hospital, Region Västra Götaland, Gothenburg, Sweden;3. Department of Infectious Disease, Institute for Biomedicine, Sahlgrenska Academy, University of Gothenburg, Gothenburg, Sweden;4. Centre for Antibiotic Resistance Research (CARe), University of Gothenburg, Gothenburg, Sweden;5. Leibniz Institut – DSMZ Deutsche Sammlung von Mikroorganismen und Zellkulturen GmbH, Braunschweig, Germany;1. The Norwegian Biopolymer Laboratory (NOBIPOL), Department of Biotechnology and Food Science, Norwegian University of Science and Technology (NTNU), N-7491, Trondheim, Norway;2. Department of Clinical and Molecular Medicine, NTNU, N-7491, Trondheim, Norway;3. Proteomics and Modomics Experimental Core (PROMEC), NTNU and the Central Norway Regional Health Authority, N-7491, Trondheim, Norway;4. Centre of Molecular Inflammation Research (CEMIR), Department of Clinical and Molecular Medicine, NTNU, N-7491, Trondheim, Norway;5. Centre of Obesity, Clinic of Surgery, St. Olav''s University Hospital, NO-7006, Trondheim, Norway;1. NSF I/UCR Center for Intelligent Maintenance Systems, Department of Mechanical Engineering, University of Cincinnati, PO Box 210072, Cincinnati, OH 45221-0072, USA;2. School of Mechanical Engineering, Xi’an Jiaotong University, Xi''an 710049, China |
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| Abstract: | In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a pseudo-tensorial part. The merit of such an approach is that it provides one with a consistent method for incorporating parity-violation in the Lagrangians for matter fields with arbitrary spin in a space-time background with torsion. |
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