Dominance of a single topological sector in gauge theory on non-commutative geometry
نویسندگان
چکیده
منابع مشابه
Gauge Theories and Non-commutative Geometry
It is shown that a d-dimensional classical SU(N) Yang-Mills theory can be formulated in a d+ 2-dimensional space, with the extra two dimensions forming a surface with non-commutative geometry. In this paper we present an explicit proof for the case of the torus and the sphere. Quantum field theories on a non-commutative space-time have been studied for a long time [1]. Not surprisingly, the fir...
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It is shown that a d-dimensional classical SU(N) Yang-Mills theory can be formulated in a d+ 2-dimensional space, with the extra two dimensions forming a surface with non-commutative geometry. Talk given at the Symposium in Honor of the 70th birthday of Julius Wess, 10-11 January 2005. Max-Planck Institut für Physik (Werner Heisenberg-Institut), München.
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We discuss the quantum mechanics of a particle in a magnetic field when its position x is restricted to a periodic lattice, while its momentum p is restricted to a periodic dual lattice. Through these considerations we define non-commutative geometry on the lattice. This leads to a deformation of the algebra of functions on the lattice, such that their product involves a “diamond” product, whic...
متن کاملGauge Theories Formulated on Surfaces with Non-commutative Geometry
We propose a formulation of d-dimensional classical SU(N) Yang-Mills theories on a d+2-dimensional space, with the extra two dimensions forming a surface with non-commutative geometry. This equivalence is valid in any finite order in the 1/N expansion.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2009
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2009/09/084