Infinite-component fields as a basis for a finite quantum field theory |
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| Affiliation: | 1. New Chemistry Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India;2. Elettra–Sincrotrone Trieste SCpA, SS14 Km 163.5, 34149 Basovizza, Trieste, Italy;1. The Unit of Nuclear Engineering, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel;2. Department of Physics, Nuclear Research Center NEGEV (NRCN), Beer-Sheva 84190, Israel;3. DEN/CAD/DER/SPEx/LPE, CEA Cadarache, Saint-Paul-les-Durance 13108, France;1. Helmholtz–Institut für Strahlen– und Kernphysik der Universität Bonn, Nussallee 14-16, 53115 Bonn, Germany;2. NRC “Kurchatov Institute”, PNPI, Gatchina 188300, Russia;1. Instituto Federal Goiano - Campus Avançado Ipameri, 75.780-000, Ipameri, Goiás, Brazil;2. Instituto de Física, Universidade Federal de Goiás, 74.001-970, Goiânia, Goiás, Brazil;1. Department of Physics, Kyoto University, Kyoto 606-8502, Japan;2. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan |
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| Abstract: | A quantum field theory based on infinite-component fields is developed in which the spectrum of particles for all spins is composed of infinite sums of finite, non-unitary representations of the Lorentz group. This leads to a field theory free of causality problems. The problem of gauging away all unphysical modes in the infinite-component field theory is achieved by using infinite-parameter gauge fields which remove all unphysical modes, independently of the number of space-time dimensions. A model of an infinite-component quantum field theory is formulated, using perturbation theory, in which there are no ultraviolet divergences and the S-matrix is causal and unitary. |
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