Nonperturbative infrared effects for light scalar fields in de Sitter space

被引:29
作者
Arai, Takashi [1 ,2 ]
机构
[1] KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan
[2] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan
关键词
O(N) MODEL; LARGE-N; RENORMALIZATION; APPROXIMATIONS; SYMMETRY; MASSLESS; STATES;
D O I
10.1088/0264-9381/29/21/215014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the phi(4) scalar field theory in de Sitter space using the two-particle irreducible effective action formalism. This formalism enables us to investigate some nonperturbative quantum aspects of the theory. We use the mean field and gap equations to calculate the physical mass and the effective potential. We find that nonperturbative infrared effects in de Sitter space produce a curvature-induced mass and work to restore the broken Z(2) symmetry.
引用
收藏
页数:10
相关论文
共 24 条
[1]   BOUND-STATES, TACHYONS, AND RESTORATION OF SYMMETRY IN 1-N EXPANSION [J].
ABBOTT, LF ;
KANG, JS ;
SCHNITZER, HJ .
PHYSICAL REVIEW D, 1976, 13 (08) :2212-2226
[2]   MASSLESS MINIMALLY COUPLED SCALAR FIELD IN DE SITTER SPACE [J].
ALLEN, B ;
FOLACCI, A .
PHYSICAL REVIEW D, 1987, 35 (12) :3771-3778
[3]   VACUUM STATES IN DE-SITTER SPACE [J].
ALLEN, B .
PHYSICAL REVIEW D, 1985, 32 (12) :3136-3149
[4]   EFFECTIVE POTENTIAL FOR THE O(N)-SYMMETRICAL MODEL IN STATIC HOMOGENEOUS SPACETIMES [J].
ANDERSON, PR ;
HOLMAN, R .
PHYSICAL REVIEW D, 1986, 34 (08) :2277-2282
[5]   Renormalized finite temperature φ4 theory from the 2PI effective action [J].
Arrizabalaga, A. ;
Reinosa, U. .
NUCLEAR PHYSICS A, 2007, 785 (1-2) :234C-237C
[6]   Two-loop scalar self-mass during inflation [J].
Brunier, T ;
Onemli, VK ;
Woodard, RP .
CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (01) :59-84
[7]   QUANTUM FIELD-THEORY IN DE SITTER SPACE - RENORMALIZATION BY POINT-SPLITTING [J].
BUNCH, TS ;
DAVIES, PCW .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 360 (1700) :117-134
[8]   GENERAL-RELATIVISTIC QUANTUM FIELD-THEORY - EXACTLY SOLUBLE MODEL [J].
CANDELAS, P ;
RAINE, DJ .
PHYSICAL REVIEW D, 1975, 12 (04) :965-974
[9]   SPONTANEOUS SYMMETRY BREAKING IN O(N) MODEL FOR LARGE N [J].
COLEMAN, S ;
JACKIW, R ;
POLITZER, HD .
PHYSICAL REVIEW D, 1974, 10 (08) :2491-2499
[10]   EFFECTIVE ACTION FOR COMPOSITE OPERATORS [J].
CORNWALL, JM ;
JACKIW, R ;
TOMBOULIS, E .
PHYSICAL REVIEW D, 1974, 10 (08) :2428-2445