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Discrete holomorphicity in solvable lattice models

Alam, Imam Tashdid-Ul

Description

The critical phases of two dimensional lattice models are widely believed to be described by conformal quantum field theories in the scaling limit. In the past few years, formal proofs of the conformal invariance in different formulations of the Ising model have emerged which make pivotal use of some complex lattice observables. Due to their distinctive property of discrete holomorphicity, they are considered to be the lattice counterpart of holomorphic currents in the field theories. In this...[Show more]

CollectionsOpen Access Theses
Date published: 2014
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/156195
DOI: 10.25911/5d5147733ad05

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