Feynman diagrams to three loops in three-dimensional field theory

被引：62

作者：

Rajantie, AK

机构：

来源：

NUCLEAR PHYSICS B | 1996年 / 480卷 / 03期

关键词：

quantum held theory; perturbation theory; Feynman diagrams;

D O I：

10.1016/S0550-3213(96)00474-9

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：

The two-point integrals contributing to the self-energy of a particle in a three-dimensional quantum field theory are calculated to two-loop order in perturbation theory as well as the vacuum ones contributing to the effective potential to three-loop order. For almost every integral an expression in terms of elementary and dilogarithm functions is obtained. For two integrals, the master integral and the Mercedes integral, a one-dimensional integral representation is obtained with an integrand consisting only of elementary functions. The results are applied to a scalar lambda phi(4) theory.

引用

页码：729 / 752

页数：24

共 27 条

[1] HIGH-TEMPERATURE YANG-MILLS THEORIES AND 3-DIMENSIONAL QUANTUM CHROMODYNAMICS [J].

APPELQUIST, T ;

PISARSKI, RD .

PHYSICAL REVIEW D, 1981, 23 (10) :2305-2317

[2] EFFECTIVE POTENTIAL AND 1ST-ORDER PHASE-TRANSITIONS - BEYOND LEADING ORDER [J].

ARNOLD, P ;

ESPINOSA, O .

PHYSICAL REVIEW D, 1993, 47 (08) :3546-3579

[3]

AVDEEV LV, HEPPH9512442

[4] NONASYMPTOTIC CRITICAL-BEHAVIOR FROM FIELD-THEORY AT D = 3 .2. THE ORDERED-PHASE CASE [J].

BAGNULS, C ;

BERVILLIER, C ;

MEIRON, DI ;

NICKEL, BG .

PHYSICAL REVIEW B, 1987, 35 (07) :3585-3607

[5] SIMPLE ONE-DIMENSIONAL INTEGRAL-REPRESENTATIONS FOR 2-LOOP SELF-ENERGIES - THE MASTER DIAGRAM [J].

BAUBERGER, S ;

BOHM, M .

NUCLEAR PHYSICS B, 1995, 445 (01) :25-46

[6]

BOOS EE, 1992, THEOR MATH PHYS, V89, P1052

[7] EFFECTIVE-FIELD THEORY APPROACH TO HIGH-TEMPERATURE THERMODYNAMICS [J].

BRAATEN, E ;

NIETO, A .

PHYSICAL REVIEW D, 1995, 51 (12) :6990-7006

[8] 3-LOOP ON-SHELL CHARGE RENORMALIZATION WITHOUT INTEGRATION - LAMBDA-QED(MS)BAR TO 4 LOOPS [J].

BROADHURST, DJ .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1992, 54 (04) :599-606

[9] 2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION [J].

BROADHURST, DJ ;

FLEISCHER, J ;

TARASOV, OV .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1993, 60 (02) :287-301

[10] 2-LOOP SELF-ENERGY DIAGRAMS WITH DIFFERENT MASSES AND THE MOMENTUM EXPANSION [J].

DAVYDYCHEV, AI ;

TAUSK, JB .

NUCLEAR PHYSICS B, 1993, 397 (1-2) :123-142

← 1 2 3 →