Quantum field theory on discrete space-time. II

Hiroshi Yamamoto
Phys. Rev. D 32, 2659 – Published 15 November 1985
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Abstract

A quantum field theory of bosons and fermions is formulated on discrete Lorentz space-time of four dimensions. The minimum intervals of space and time are assumed to have different values in this paper. As a result the difficulties encountered in the previous paper (complex energy, incompleteness of solutions, and inequivalence between phase representation and momentum representation) are removed. The problem in formulating a field theory of fermions is solved by introducing a new operator and considering a theorem of translation invariance. Any matrix element given by a Feynman diagram is calculated in this theory to give a finite value regardless of the kinds of particles concerned (massive and/or massless bosons and/or fermions).

  • Received 24 May 1985

DOI:https://doi.org/10.1103/PhysRevD.32.2659

©1985 American Physical Society

Authors & Affiliations

Hiroshi Yamamoto

  • Department of Applied Physics, Fukui University, Fukui 910, Japan

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Issue

Vol. 32, Iss. 10 — 15 November 1985

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