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Symbolic manipulation of loops and lattice gauge theory in the loop representation

Computer Physics Communications, 1992
Abstract The symbolic manipulation techniques, necessary to push the calculation of observables in the loop representation to higher order is discussed. Z(2) gauge theory in the loop representation is used to show how this techniques can be implemented in a concrete model.
Daniel Armand-Ugon, Rodolfo Gambini
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Microscopic Theory of Dielectric Screening and Lattice Dynamics in the Wannier Representation. I. Theory

Physical Review B, 1973
The microscopic quantum-mechanical expressions for the dielectric screening matrix and for the electronic contribution to lattice dynamics are derived in terms of generalized Wannier functions. The Wannier representation makes practical an inversion of the dielectric matrix within the random-phase approximation and thus allows for an explicit ...
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A Representation Theory for Lattice-Groups

Proceedings of the London Mathematical Society, 1962
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Representation theorems for some fuzzy logics based on residuated non-distributive lattices

Fuzzy Sets and Systems, 2008
Anna Maria Radzikowska, Ewa Orłowska
exaly  

Aubry-Mather theory for functions on lattices

Discrete and Continuous Dynamical Systems, 1997
Hans Koch
exaly  

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