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• W2034281197 abstract "Quantum spin and quantum link models provide an unconventional regularization of field theory in which classical fields arise via dimensional reduction of discrete variables. This D-theory regularization leads to the same continuum theories as the conventional approach. We show this by deriving the low-energy effective Lagrangians of D-theory models using coherent state path integral techniques. We illustrate our method for the $(2+1)mathrm{D}$ Heisenberg quantum spin model which is the D-theory regularization of the $2mathrm{D} O(3)$ model. Similarly, we prove that in the continuum limit a $(2+1)mathrm{D}$ quantum spin model with ${mathrm{SU}(N)}_{L}ifmmodetimeselsetexttimesfi{}{mathrm{SU}(N)}_{R}ifmmodetimeselsetexttimesfi{}{U(1)}_{L=R}$ symmetry is equivalent to the 2D principal chiral model. Finally, we show that $(4+1)mathrm{D}$ $mathrm{SU}(N)$ quantum link models reduce to ordinary 4D Yang-Mills theory." @default.
• W2034281197 created "2016-06-24" @default.
• W2034281197 creator A5011600627 @default.
• W2034281197 creator A5086332910 @default.
• W2034281197 date "2001-03-19" @default.
• W2034281197 modified "2023-09-23" @default.
• W2034281197 title "Low-energy effective theories of quantum spin and quantum link models" @default.
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• W2034281197 doi "https://doi.org/10.1103/physrevd.63.085007" @default.
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