Quantum electrodynamics on a space-time lattice |
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| Institution: | 1. Adnan Menderes University, Faculty of Arts and Science, Department of Biology, 09010, Aydın, Turkey;2. Mersin University Sea Turtles Application and Research Center, Mersin, Turkey;3. Departament de Genètica, Microbiologia i Estadística and IRBio, Universitat de Barcelona, Av.Diagonal 643, 08028, Barcelona, Spain;4. Mersin University, Faculty of Arts and Science, Department of Biology, Mersin, Turkey;5. Bulancak Technical and Industrial Vocational High School, Giresun, Turkey;1. Department of Aerospace Science and Technology, Space Engineering University, Beijing 101416, China;2. School of Instrumentation Science and Optoelectronics Engineering, Beihang University, Beijing 100191 China;1. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;1. Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia;2. Siberian Federal University, 660080 Krasnoyarsk, Russia |
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| Abstract: | A Minkowski-lattice version of quantum electrodynamics (or rather its simplified version, with matter described by a scalar field) is constructed. Quantum fields are consequently described in a gauge-independent way, i.e. the algebra of quantum observables of the theory is generated by gauge-invariant operators assigned to zero-, one-, and two-dimensional elements of the lattice. The operators satisfy canonical commutation relations. The uniqueness of representation of this algebra is proved. Field dynamics is formulated in terms of difference equations imposed on the field operators. It is obtained from a discrete version of the path-integral. The theory is local and causal. |
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