HOW TO QUANTIZE FIELDS CANONICALLY ON DISCRETE SPACE-TIME

被引：9

作者：

HASHIMOTO, T ^{[1
]}

HAYASHI, A ^{[1
]}

HORIBE, M ^{[1
]}

YAMAMOTO, H ^{[1
]}

机构：

[1] FUKUI UNIV,FAC EDUC,DEPT PHYS,FUKUI 910,JAPAN

来源：

PROGRESS OF THEORETICAL PHYSICS | 1995年 / 94卷 / 02期

关键词：

D O I：

10.1143/PTP.94.249

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：249 / 261

页数：13

共 10 条

[1] ALGEBRAIC APPROACH TO QUANTUM FIELD THEORY [J].

HAAG, R ;

KASTLER, D .

JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (07) :848-&

[2] AXIOMS FOR EUCLIDEAN GREENS FUNCTIONS .2. [J].

OSTERWALDER, K ;

SCHRADER, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 42 (03) :281-305

[3] AXIOMS FOR EUCLIDEAN GREENS FUNCTIONS [J].

OSTERWALDER, K ;

SCHRADER, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1973, 31 (02) :83-112

[4]

WIGHTMAN AS, 1965, ARK FYS, V28, P129

[5] QUANTUM-FIELD THEORY ON DISCRETE SPACE-TIME [J].

YAMAMOTO, H .

PHYSICAL REVIEW D, 1984, 30 (08) :1727-1732

[6] QUANTUM-FIELD THEORY ON DISCRETE SPACE-TIME .2. [J].

YAMAMOTO, H .

PHYSICAL REVIEW D, 1985, 32 (10) :2659-2665

[7]

Yamamoto H., 1989, Nuclear Physics B, Proceedings Supplements, V6, P154, DOI 10.1016/0920-5632(89)90425-8

[8]

YAMAMOTO H, 1995, PROG THEOR PHYS, V93, P173

[9]

YOSHIDA H, 1990, CONSERVED QUANTITIES

[10]

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