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Prog. Theor. Phys. Vol. 94 No. 2 (1995) pp. 249-261
How to Quantize Fields Canonically on Discrete Space-Time
Takaaki Hashimoto,
Akihisa Hayashi,
Minoru Horibe* and
Hiroshi Yamamoto
Department of Applied Physics, Fukui University, Fukui 910
*Department of Physics, Faculty of Education, Fukui University, Fukui 910
(Received November 16, 1994)
Abstract:
We propose a canonical procedure to quantize fields with interaction on discrete space-time. The time evolution operator that reproduces the field equation is represented by using canonical variables. The generator of the operator is a conserved quantity, but its existence is not obvious. It is possible to calculate the S-matrix perturbatively. Our quantization gives the same results as those given by the path integral quantization.
URL :
http://ptp.ipap.jp/link?PTP/94/249/
DOI : 10.1143/PTP.94.249
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