Quantum Spins and Quantum Links : The D-Theory Approach to Field Theory
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概要
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Field theories are usually quantized by path integration over classical fields, either perturbatively or in Wilson's non-perturbative lattice regularization. In this lecture an alternative route is proposed: the quantization of the classical fields themselves. Then scalar fields are replaced by generalized quantum spins, and gauge fields are replaced by quantum ilnks - parallel transporter matrices whose elements are operators acting in a finite Hilbert space. When continuous classical fields are replaced by discrete quantized spin or link variables, it is necessary to formulate the theory with an additional dimension, which later disappears via dimensional reduction. The formulation of field theory by dimensional reduction of discrete variables - D-theory - is closely related to the non-perturbative formulation of string theory, and can hence also be viewed as a daughter of M-theory. D-theory allows us to formulate Quantum Chromodynamics (QCD) in close analogy to quantum antiferromagnets - the undoped insulating precursors of high-temperature superconductors.
- 理論物理学刊行会の論文
- 1998-10-14
著者
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Wiese Uwe-jens
Center For Theoretical Physics Laboratory For Nuclear Science And Department Of Physics Massachusett
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WIESE Uwe-Jens
Center for Theoretical Physics Laboratory for Nuclear Science, and Department of Physics Massachusetts Institute of Technology (MIT) Cambridge