Parametric representation of noncommutative field theory

被引：40

作者：

Gurau, Razvan ^{[1
]}

Rivasseau, Vincent ^{[1
]}

机构：

[1] Univ Paris 11, CNRS, UMR 8627, Phys Theor Lab, F-91405 Orsay, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 272卷 / 03期

关键词：

D O I：

10.1007/s00220-007-0215-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we investigate the Schwinger parametric representation for the Feynman amplitudes of the recently discovered renormalizable phi(4)(4) quantum field theory on the Moyal non cummutative R-4 space. This representation involves new hyperbolic polynomials which are the non-commutative analogs of the usual "Kirchoff" or "Symanzik" polynomials of commutative field theory, but contain richer topological information.

引用

页码：811 / 835

页数：25

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