Matrix φ4 models on the fuzzy sphere and their continuum limits -: art. no. 013

被引:0
|
作者
Dolan, BP
O'Connor, D
Presnajder, P
机构
[1] CINVESTAV, Dept Fis, Mexico City 0730, DF, Mexico
[2] NUI, Dept Math Phys, Maynooth, Kildare, Ireland
[3] Comenius Univ, Dept Theoret Phys, Bratislava 84215, Slovakia
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2002年 / 03期
关键词
renormalization regularization and renormalons; field theories in lower dimensions; non-commutative geometry;
D O I
暂无
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
We demonstrate that the UV/IR mixing problems found recently for a scalar phi(4) theory on the fuzzy sphere are localized to tadpole diagrams and can be overcome by a suitable modification of the action. This modification is equivalent to normal ordering the phi(4) vertex. In the limit of the commutative sphere, the perturbation theory of this modified action matches that of the commutative theory.
引用
收藏
页数:15
相关论文
共 45 条
  • [21] N=4 super Yang-Mills matrix integrals for almost all simple gauge groups -: art. no. 012
    Pestun, V
    JOURNAL OF HIGH ENERGY PHYSICS, 2002, (09):
  • [22] N=2 3d-matrix integral with Myers term -: art. no. 062
    Tomino, D
    JOURNAL OF HIGH ENERGY PHYSICS, 2004, (01):
  • [23] Phase diagram and dispersion relation of the non-commutative λφ4 model in d=3 -: art. no. 042
    Bietenholz, W
    Hofheinz, F
    Nishimura, J
    JOURNAL OF HIGH ENERGY PHYSICS, 2004, (06):
  • [24] Elongated U(1) instantons on noncommutative R4 -: art. no. 068
    Ishikawa, T
    Kuroki, SI
    Sako, A
    JOURNAL OF HIGH ENERGY PHYSICS, 2001, (11):
  • [25] Gauge theory on fuzzy S2 x S2 and regularization on noncommutative R4 -: art. no. 040
    Behr, W
    Meyer, F
    Steinacker, H
    JOURNAL OF HIGH ENERGY PHYSICS, 2005, (07):
  • [26] Lost equivalence of nonlinear sigma and CP1 models on noncommutative space -: art. no. 006
    Otsu, H
    Sato, T
    Ikemori, H
    Kitakado, S
    JOURNAL OF HIGH ENERGY PHYSICS, 2004, (06):
  • [27] Perturbative versus nonperturbative dynamics of the fuzzy S2 x S2 -: art. no. 047
    Azuma, T
    Bal, S
    Nagao, K
    Nishimura, J
    JOURNAL OF HIGH ENERGY PHYSICS, 2005, (09):
  • [28] Absence of a fuzzy S4 phase in the dimensionally reduced 5d Yang-Mills-Chern-Simons model -: art. no. 066
    Azuma, T
    Nagao, K
    Nishimura, J
    Bal, S
    JOURNAL OF HIGH ENERGY PHYSICS, 2004, (07):
  • [29] On the relation between non-commutative field theories at θ = ∞ and large N matrix field theories -: art. no. 047
    Bietenholz, W
    Hofheinz, F
    Nishimura, J
    JOURNAL OF HIGH ENERGY PHYSICS, 2004, (05):
  • [30] Holography of the N=1 higher-spin theory on AdS4 -: art. no. 011
    Leigh, RG
    Petkou, AC
    JOURNAL OF HIGH ENERGY PHYSICS, 2003, (06):