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Geometrical Methods in the Study of Topological Effects on the Lattice
Author(s) -
Gockeler M.
Publication year - 1988
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190361102
Subject(s) - topological quantum number , lattice (music) , lattice field theory , lattice gauge theory , physics , gauge theory , theoretical physics , monte carlo method , topology (electrical circuits) , topological entropy in physics , statistical physics , mathematics , quantum mechanics , combinatorics , statistics , acoustics
Abstract We review geometrical definitions of the topological charge for lattice field theories, in particular lattice gauge theories. Some recent Monte Carlo calculations of the topological susceptibility based upon these definitions are described. They are compared with alternative approaches.