Quantum scale invariance on the lattice

被引:20
|
作者
Shaposhnikov, Mikhail [2 ]
Tkachev, Igor [1 ]
机构
[1] Russian Acad Sci, Inst Nucl Res, Moscow 117312, Russia
[2] Ecole Polytech Fed Lausanne, Inst Theorie Phenomenes Phys, CH-1015 Lausanne, Switzerland
基金
瑞士国家科学基金会;
关键词
Quantum scale invariance; Lattice; Quantum gravity; CONFORMAL-INVARIANCE; TRIVIALITY; MODELS;
D O I
10.1016/j.physletb.2009.04.040
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We propose a scheme leading to a non-perturbative definition of lattice field theories which are scale-invariant on the quantum level. A key idea of the construction is the replacement of the lattice spacing by a propagating dynamical field - the dilaton. We describe how to select non-perturbatively the phenomenologically viable theories where the scale invariance is broken spontaneously. Relation to gravity is also discussed. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:403 / 406
页数:4
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