Four-loop vacuum energy beta function in O(N) symmetric scalar theory

被引：31

作者：

Kastening, B

机构：

[1] Department of Physics, Purdue University, West Lafayette, IN

来源：

PHYSICAL REVIEW D | 1996年 / 54卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.54.3965

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The beta function of the vacuum energy density is computed at the four-loop level in massive O(N) symmetric phi(4) theory. Dimensional regularization is used in conjunction with the MS scheme and all calculations are in momentum space in the massive theory. The result is beta(v) = (N/4)g + [N(N + 2)/96]g(3) + {N(N + 2)(N + 8) x [12 zeta(3) - 25]/1296}g(4) + O(g(5)).

引用

收藏

页码：3965 / 3975

页数：11

相关论文

共 17 条

[1] IMPROVING THE EFFECTIVE POTENTIAL [J].

BANDO, M ;

KUGO, T ;

MAEKAWA, N ;

NAKANO, H .

PHYSICS LETTERS B, 1993, 301 (01) :83-89

[2] KNOTS AND NUMBERS IN PHI(4) THEORY TO 7 LOOPS AND BEYOND [J].

BROADHURST, DJ ;

KREIMER, D .

INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS, 1995, 6 (04) :519-524

[3]

BROADHURST DJ, 1996, OUT410246

[4] NEW METHODS FOR RENORMALIZATION GROUP [J].

COLLINS, JC ;

MACFARLANE, AJ .

PHYSICAL REVIEW D, 1974, 10 (04) :1201-1212

[5] EFFECTIVE LAGRANGIAN AND THE BACK-REACTION PROBLEM IN A SELF-INTERACTING O(N) SCALAR THEORY IN CURVED SPACETIME [J].

ELIZALDE, E ;

KIRSTEN, K ;

ODINTSOV, SD .

PHYSICAL REVIEW D, 1994, 50 (08) :5137-5147

[6] RENORMALIZATION-GROUP IMPROVED EFFECTIVE LAGRANGIAN FOR INTERACTING THEORIES IN CURVED SPACETIME [J].

ELIZALDE, E ;

ODINTSOV, SD .

PHYSICS LETTERS B, 1994, 321 (03) :199-204

[7] RENORMALIZATION-GROUP IMPROVED EFFECTIVE POTENTIAL FOR INTERACTING THEORIES WITH SEVERAL MASS SCALES IN CURVED SPACETIME [J].

ELIZALDE, E ;

ODINTSOV, SD .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1994, 64 (04) :699-708

[8] THE EFFECTIVE POTENTIAL AND THE RENORMALIZATION-GROUP [J].

FORD, C ;

JONES, DRT ;

STEPHENSON, PW ;

EINHORN, MB .

NUCLEAR PHYSICS B, 1993, 395 (1-2) :17-34

[9]

Gradshteyn I. S., 1994, TABLES INTEGRALS SER

[10] RENORMALIZATION-GROUP IMPROVEMENT OF THE EFFECTIVE POTENTIAL IN MASSIVE PHI-4 THEORY [J].

KASTENING, B .

PHYSICS LETTERS B, 1992, 283 (3-4) :287-292