World graph formalism for Feynman amplitudes

被引：5

作者：

Hoelzler, Helmut ^{[1
]}

机构：

[1] Univ Gottingen, Inst Theoret Phys, Friedrich Hund Pl 1, D-37077 Gottingen, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 09期

关键词：

field theories in higher dimensions; AdS-CFT correspondence;

D O I：

10.1088/1126-6708/2008/09/022

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：

A unified treatment of Schwinger parametrised Feynman amplitudes is suggested which addresses vertices of arbitrary order on the same footing as propagators. Contributions from distinct diagrams are organised collectively. The scheme is based on the continuous graph Laplacian. The analogy to a classical statistical diffusion system of vector charges on the graph is explored.

引用

页数：31

共 19 条

[1]

Bergles A. E., 1974, Letters in Heat and Mass Transfer, V1, P113, DOI 10.1016/0094-4548(74)90147-7

[2] EFFICIENT CALCULATION OF ONE-LOOP QCD AMPLITUDES [J].

BERN, Z ;

KOSOWER, DA .

PHYSICAL REVIEW LETTERS, 1991, 66 (13) :1669-1672

[3] THE COMPUTATION OF LOOP AMPLITUDES IN GAUGE-THEORIES [J].

BERN, Z ;

KOSOWER, DA .

NUCLEAR PHYSICS B, 1992, 379 (03) :451-561

[4]

Dai S, 2007, ADV NONLINEAR STUD, V7, P107

[5] RENORMALIZATION IN THE COMPLETE MELLIN REPRESENTATION OF FEYNMAN-AMPLITUDES [J].

DECALAN, C ;

DAVID, F ;

RIVASSEAU, V .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 78 (04) :531-544

[6] STRING ORGANIZATION OF FIELD-THEORIES - DUALITY AND GAUGE-INVARIANCE [J].

FENG, YJ ;

LAM, CS .

PHYSICAL REVIEW D, 1994, 50 (12) :7430-7439

[7] THE HIGHER-DERIVATIVE EXPANSION OF THE EFFECTIVE ACTION BY THE STRING INSPIRED METHOD .1. [J].

FLIEGNER, D ;

SCHMIDT, MG ;

SCHUBERT, C .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1994, 64 (01) :111-116

[8] From free fields to AdS. III [J].

Gopakumar, R .

PHYSICAL REVIEW D, 2005, 72 (06)

[9]

Gopakumar R, 2004, PHYS REV D, V70, DOI 10.1103/PhysRevD.70.025009

[10]

Itzykson C., 1980, INT SERIES PURE APPL

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