Derivative expansion of the effective action and the renormalization group equation

被引:4
作者
Chishtie, F. A. [1 ]
Jia, Junji [1 ]
McKeon, D. G. C. [1 ]
机构
[1] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
来源
PHYSICAL REVIEW D | 2007年 / 76卷 / 10期
关键词
D O I
10.1103/PhysRevD.76.105006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The perturbative evaluation of the effective action can be expanded in powers of derivatives of the external field. We apply the renormalization group equation to the term in the effective action that is second order in the derivatives of the external field and all orders in a constant external field, considering both massless scalar phi(4)(4) model and massless scalar electrodynamics. A so-called "on shell" renormalization scheme permits one to express this "kinetic term" for the scalar field entirely in terms of the renormalization group functions appropriate for this scheme. These renormalization group functions can be related to those associated with minimal subtraction.
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页数:8
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共 22 条
  • [1] THE BACKGROUND FIELD METHOD BEYOND ONE LOOP
    ABBOTT, LF
    [J]. NUCLEAR PHYSICS B, 1981, 185 (01) : 189 - 203
  • [2] IMPROVING THE EFFECTIVE POTENTIAL
    BANDO, M
    KUGO, T
    MAEKAWA, N
    NAKANO, H
    [J]. PHYSICS LETTERS B, 1993, 301 (01) : 83 - 89
  • [3] EFFECTIVE-ACTION EXPANSION IN PERTURBATION-THEORY
    CHAN, LH
    [J]. PHYSICAL REVIEW LETTERS, 1985, 54 (12) : 1222 - 1225
  • [4] CHISHTIE F, ARXIVHEPPH07061760
  • [5] CHISHTIE F, UNPUB
  • [6] CHUNG SM, PHYS REV D, V60
  • [7] RADIATIVE-CORRECTIONS AS ORIGIN OF SPONTANEOUS SYMMETRY BREAKING
    COLEMAN, S
    WEINBERG, E
    [J]. PHYSICAL REVIEW D, 1973, 7 (06): : 1888 - 1910
  • [8] SCALING BEHAVIOR OF PHI-4 THEORY AND DIMENSIONAL REGULARIZATION
    COLLINS, JC
    [J]. PHYSICAL REVIEW D, 1974, 10 (04): : 1213 - 1218
  • [9] Higher order stability of a radiatively induced 220 GeV Higgs mass
    Elias, V
    Mann, RB
    McKeon, DGC
    Steele, TG
    [J]. PHYSICAL REVIEW D, 2005, 72 (03): : 1 - 4
  • [10] Elias V, 2004, NUCL PHYS B, V678, P147, DOI 10.1016/j.nuclphysb.2003.11.008