On the renormalization group for the interacting massive scalar field theory in curved space

被引:21
作者
de Berredo-Peixoto, G [1 ]
Gorbar, EV
Shapiro, IL
机构
[1] Univ Fed Juiz Fora, Dept Fis, BR-36036330 Juiz De Fora, MG, Brazil
[2] Bogolyubov Inst Theoret Phys, Kiev, Ukraine
关键词
D O I
10.1088/0264-9381/21/9/005
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The Euclidean effective action for the interacting massive scalar field in curved spacetime is derived using the heat-kernel method. Starting from this effective action, we establish a smooth quadratic form of the low-energy decoupling for the four-scalar coupling constant lambda and for the nonminimal interaction parameter xi. The evolution of this parameter from the conformal value 1/6 at high energies down to the IR regime is investigated within the two toy models with negative and positive four-scalar coupling constants.
引用
收藏
页码:2281 / 2290
页数:10
相关论文
共 22 条
[1]   4-DIMENSIONAL QUANTUM-GRAVITY IN THE CONFORMAL SECTOR [J].
ANTONIADIS, I ;
MOTTOLA, E .
PHYSICAL REVIEW D, 1992, 45 (06) :2013-2025
[2]   INFRARED SINGULARITIES AND MASSIVE FIELDS [J].
APPELQUIST, T ;
CARAZZONE, J .
PHYSICAL REVIEW D, 1975, 11 (10) :2856-2861
[3]  
AVRAMIDI IG, 1989, YAD FIZ, V49, P1185
[4]   COVARIANT PERTURBATION-THEORY .2. 2ND-ORDER IN THE CURVATURE - GENERAL ALGORITHMS [J].
BARVINSKY, AO ;
VILKOVISKY, GA .
NUCLEAR PHYSICS B, 1990, 333 (02) :471-511
[5]  
BINGER M, 2003, PHYS RENORMALIZATION
[6]   THE STABILITY OF ASYMPTOTIC FREEDOM IN GRAND UNIFIED MODELS COUPLED TO R2-GRAVITY [J].
BUCHBINDER, IL ;
KALASHNIKOV, OK ;
SHAPIRO, IL ;
VOLOGODSKY, VB ;
WOLFENGAUT, YY .
PHYSICS LETTERS B, 1989, 216 (1-2) :127-132
[7]   THE ASYMPTOTICALLY FREE AND ASYMPTOTICALLY CONFORMALLY INVARIANT GRAND UNIFICATION THEORIES IN CURVED SPACE-TIME [J].
BUCHBINDER, IL ;
SHAPIRO, IL ;
YAGUNOV, EG .
MODERN PHYSICS LETTERS A, 1990, 5 (20) :1599-1604
[8]  
Buchbinder IL., 1984, Theor. Math. Phys, V61, P393
[9]  
Buchbinder IL., 1992, Effective action in quantum gravity
[10]  
BUCHBINDER IL, 1983, SOV J PHYS, V25, P50