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

页数：15

共 45 条

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[45] Self-intersecting fuzzy extra dimensions from squashed coadjoint orbits in N=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=4 $$\end{document} SYM and matrix models
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Journal of High Energy Physics, 2015 (2)

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