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Physical unitarity in the Lagrangian Sp(2)-symmetric formalism
Institution:1. Tomsk State Pedagogical University, Tomsk 634041, Russia;2. Tomsk State University, Tomsk 634050, Russia;1. Physical and Colloid Chemistry Department, Kazan National Research Technological University, Kazan, 420015, Russia;2. Kazan Physical-Technical Institute, RAS, Kazan, 420029, Russia;1. Department of Materials Science and Engineering, Stanford University, Stanford, CA 94305, USA;2. Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305, USA;3. Department of Chemical Engineering, Stanford University, Stanford, CA 94305, USA;4. Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA;5. Department of Bioengineering, Stanford University, Stanford, CA 94305, USA;6. Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA;7. Material Research Center, Samsung Advanced Institute of Technology, Yeongtong-gu, Suwon-si, Gyeonggi-do 443-803, Korea;1. Center for Environmental Studies and Basin Studies Laboratory, São Paulo State University, UNESP, Rio Claro, SP, 13506-900, Brazil;2. Department of Applied Geology and Basin Studies Laboratory, São Paulo State University, UNESP, Rio Claro, SP, 13506-900, Brazil;1. Department of Neurology, Children''s Hospital of Chongqing Medical University, Chongqing, China;2. Ministry of Education Key Laboratory of Child Development and Disorders, National Clinical Research Center for Technology Cooperation Base of Child Development and Critical Disorders, Chongqing Key Laboratory of Pediatrics, Chongqing, China;3. Department of Anesthesiology, Children''s Hospital of Chongqing Medical University, Chongqing, China;4. Department of Cardiology, Children''s Hospital of Chongqing Medical University, Chongqing, China;5. Division of Science and Technology, Beijing Normal University-HongKong Baptist University United International College, Guangdong, China;6. Department of Cardiothoracic Surgery, Children''s Hospital of Chongqing Medical University, Chongqing, China
Abstract:The structure of state vector space for a general (non-anomalous) gauge theory is studied within the Lagrangian version of the Sp(2)-symmetric quantization method. The physical S-matrix unitarity conditions are formulated. The general results are illustrated on the basis of simple gauge theory models.
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