Bi-local fields in noncommutative field theory

被引：49

作者：

Iso, S ^{[1
]}

Kawai, H

Kitazawa, Y

机构：

[1] KEK, Tsukuba, Ibaraki 3050801, Japan

[2] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

来源：

NUCLEAR PHYSICS B | 2000年 / 576卷 / 1-3期

关键词：

large N expansion; matrix model; noncommutative field theory; bi-local field;

D O I：

10.1016/S0550-3213(00)00092-4

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We propose a bi-local representation in noncommutative held theory. It provides a simple description for high momentum degrees of freedom. It also shows that the low momentum modes can be well approximated by ordinary local fields. Long range interactions are generated in the effective action for the lower momentum modes after integrating out the high momentum bi-local fields. The law momentum modes can be represented by diagonal blocks in the matrix model picture and the high momentum bi-local fields correspond to off-diagonal blocks. This block-block interaction picture simply reproduces the infrared singular behaviors of nonplanar diagrams in noncommutative field theory. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：375 / 398

页数：24

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