D-theory: field theory via dimensional reduction of discrete variables

• Published in: Nuclear physics. Section B, Proceedings supplement Vol. 63; no. 1; pp. 775 - 789
• Main Authors: Beard, B.B., Brower, R.C., Chandrasekharan, S., Chen, D., Tsapalis, A., Wiese, U.-J.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.04.1998

A new non-perturbative approach to quantum field theory — D-theory — is proposed, in which continuous classical fields are replaced by discrete quantized variables which undergo dimensional reduction. The 2-d classical O((3) model emerges from the (2 + 1)-d quantum Heisenberg model formulated in ter...