COVARIANT PERTURBATION-THEORY .3. SPECTRAL REPRESENTATIONS OF THE 3RD-ORDER FORM-FACTORS

被引：75

作者：

BARVINSKY, AO ^{[1
]}

VILKOVISKY, GA ^{[1
]}

机构：

[1] PN LEBEDEV PHYS INST,MOSCOW 117924,USSR

来源：

NUCLEAR PHYSICS B | 1990年 / 333卷 / 02期

关键词：

D O I：

10.1016/0550-3213(90)90048-I

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：

Extension of covariant perturbation theory to third order in curvature requires the triple- spectral forms for one-loop vertex functions of massless fields to be established. For the simplest triangular graph with unit vertices the three spectral masses are known to form a triangle, and the spectral weight is 1 4πS where S is the area of this triangle. We generalize this result to an arbitrary derivative coupling. © 1990.

引用

页码：512 / 524

页数：13

共 12 条

[1] COVARIANT PERTURBATION-THEORY .2. 2ND-ORDER IN THE CURVATURE - GENERAL ALGORITHMS
BARVINSKY, AO
VILKOVISKY, GA
[J]. NUCLEAR PHYSICS B, 1990, 333 (02) : 471 - 511
[2] STRUCTURE OF THE VERTEX FUNCTION
DESER, S
GILBERT, W
SUDARSHAN, ECG
[J]. PHYSICAL REVIEW, 1959, 115 (03): : 731 - 735
[3] DEWITT BS, 1984, RELATIVITY GROUPS TO, V2
[4] FAINBERG VY, 1959, ZH EKSP TEOR FIZ, V36, P1503
[5] FROLOV VP, 1983, 2ND P SEM QUANT GRAV
[6] INTEGRAL REPRESENTATIONS FOR VERTEX FUNCTIONS
FRONSDAL, C
NORTON, RE
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (01) : 100 - &
[7] SINGLE-SPECTRAL FORMS FOR 3-POINT FUNCTIONS - GENERAL-MASS SITUATION
IVANETICH, RJ
[J]. PHYSICAL REVIEW D, 1974, 10 (02) : 468 - 479
[8] SPECTRAL FORMS FOR 3-POINT FUNCTIONS
IVANETICH, RJ
[J]. PHYSICAL REVIEW D, 1972, 6 (10) : 2805 - +
[9] ON THE VALIDITY OF MULTIPLE DISPERSION REPRESENTATIONS
NAKANISHI, N
[J]. PROGRESS OF THEORETICAL PHYSICS, 1960, 24 (06): : 1275 - 1295
[10] NAKANISHI N, 1970, GRAPH THEORY FEYNMAN

← 1 2 →