Nonequivalent representations of nuclear algebras of canonical commutation relations: Quantum fields

被引：0

作者：

Sardanashvily, G ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Dept Theoret Phys, Moscow 117234, Russia

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2002年 / 41卷 / 08期

关键词：

canonical commutation relations; nuclear space; Euclidean field; Wick rotation;

D O I：

10.1023/A:1020140632510

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Non-Fock representations of the canonical commutation relations modeled over an infinite-dimensional nuclear space are constructed in an explicit form. The example of the nuclear space of smooth real functions of rapid decrease results in nonequivalent quantizations of scalar fields.

引用

页码：1541 / 1562

页数：22

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