Expansion in Feynman graphs as simplicial string theory

被引：16

作者：

Akhmedov, ET ^{[1
]}

机构：

[1] Inst Theoret & Expt Phys, Moscow 117259, Russia

[2] Joint Inst Nucl Res, Inst Adv Study, Dubna 141980, Moscow Region, Russia

来源：

JETP LETTERS | 2004年 / 80卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/1.1813675

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the series expansion of quantum field theory in Feynman diagrams can be explicitly mapped on the partition function of simplicial string theory-the theory describing embeddings of two-dimensional (2D) simplicial complexes into the spacetime of the field theory. The summation over 2D geometries in this theory is obtained from the summation over the Feynman diagrams and the integration over the Schwinger parameters of the propagators. We discuss the meaning of the obtained relation and derive the one-dimensional analog of the simplicial theory using the example of a free relativistic particle. (C) 2004 MAIK "Nauka / Interperiodica".

引用

页码：218 / 225

页数：8

共 28 条

[1]

AKHMEDOV EK, IN PRESS

[2] A remark on the AdS/CFT correspondence and the renormalization group flow [J].