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

Journal Article (Journal Article)

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. © 2004 Elsevier B.V. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Brower, R; Chandrasekharan, S; Riederer, S; Wiese, UJ

Published Date

  • August 16, 2004

Published In

Volume / Issue

  • 693 / 1-3

Start / End Page

  • 149 - 175

International Standard Serial Number (ISSN)

  • 0550-3213

Digital Object Identifier (DOI)

  • 10.1016/j.nuclphysb.2004.06.007

Citation Source

  • Scopus