Nonstandard methods in quantum field theory I: A hyperfinite formalism of scalar fields

被引：3

作者：

Yamashita, H ^{[1
]}

机构：

[1] Aichi Gakuin Univ, Sch Gen Educ, Nagoya, Aichi, Japan

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2002年 / 41卷 / 03期

关键词：

Wightman fields; canonical commutation relations; quantum fields; nonstandard analysis; axiomatic field theory;

D O I：

10.1023/A:1014253422872

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A nonstandard approach to axiomatic quantum field theory is given. Nonstandard axioms for a Hermitian scalar field is proposed, where the field operators act on a hyperfinite-dimensional Hilbert space. The axioms are shown to be equivalent to the G (a) over circle rding-Wightman axioms. An example of a model of the nonstandard axioms is examined.

引用

页码：511 / 527

页数：17

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