Towards a Canonical Formalism of Field Theory on Discrete Spacetime

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dc.creatorYamamoto, Hiroshi
dc.creatorHayashi, Akihisa
dc.creatorHashimoto, Takaaki
dc.creatorHoribe, Minoru
dc.date1993-07-19
dc.date.accessioned2026-07-07T04:19:33Z
dc.date.available2026-07-07T04:19:33Z
dc.descriptionIt is shown that the difficulties in formulating the quantum field theory on discrete spacetime appear already in classical dynamics of one degree of freedom on discrete time. The difference equation of motion which maintains a conserved quantity like energy has a very restricted form that is not probably derived by the least action principle. On the other hand, the classical dynamics is possible to be canonically formulated and quantized, if the equation is derived from an action. The difficulties come mainly from this incompatibility of the conserved quantity and the action principle. We formulate a quantum field theory canonically on discrete spacetime in the case where the field equation is derived from an action, though there may be no exactly conserved quantity. It may, however, be expected that a conserved quantity exists for a low "energy" region.
dc.description33 pages, REVTEX Figure is not added. Please send e-mail to "hasimoto@newton.apphy.fukui-u.ac.jp" for request
dc.identifierhttps://arxiv.org/abs/hep-th/9307112
dc.identifierhttp://arxiv.org/abs/hep-th/9307112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53601
dc.subjectHigh Energy Physics - Theory
dc.titleTowards a Canonical Formalism of Field Theory on Discrete Spacetime
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