D-theory: field quantization by dimensional reduction of discrete variables

被引：52
作者：
Brower, R [1 ]
Chandrasekharan, S
Riederer, S
Wiese, UJ
机构：
[1] Boston Univ, Dept Phys, Boston, MA 02215 USA
[2] Duke Univ, Dept Phys, Durham, NC USA
[3] Univ Bern, Inst Theoret Phys, CH-3012 Bern, Switzerland
来源：
NUCLEAR PHYSICS B | 2004年 / 693卷 / 1-3期
关键词：
D O I：
10.1016/j.nuclphysb.2004.06.007
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：
D-theory is an alternative non-perturbative approach to quantum field theory formulated in terms of discrete quantized variables instead of classical fields. Classical scalar fields are replaced by generalized quantum spins and classical gauge fields are replaced by quantum links. The classical fields of a d-dimensional quantum field theory reappear as low-energy effective degrees of freedom of the discrete variables, provided the (d + 1)-dimensional D-theory is massless. When the extent of the extra Euclidean dimension becomes small in units of the correlation length, an ordinary d-dimensional quantum field theory emerges by dimensional reduction. The D-theory formulation of scalar field theories with various global symmetries and of gauge theories with various gauge groups is constructed explicitly and the mechanism of dimensional reduction is investigated. (C) 2004 Elsevier B.V. All rights reserved.
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页码：149 / 175
页数：27
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