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Fermion Hilbert space and fermion doubling in the noncommutative geometry approach to gauge theories
In this paper we study the structure of the Hilbert space for the recent noncommutative geometry models of gauge theories. We point out the presence of unphysical degrees of freedom similar to theExpand
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The fuzzy disc
We introduce a finite dimensional matrix model approximation to the algebra of functions on a disc based on noncommutative geometry. The algebra is a subalgebra of the one characterizing theExpand
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Distances on a lattice from non-commutative geometry
Abstract Using the tools of non-commutative geometry we calculate the distances between the points of a lattice on which the usual discretized Dirac operator has been defined. We find that theseExpand
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Infinitely many star products to play with
While there has been growing interest for noncommutative spaces in recent times, most examples have been based on the simplest noncommutative algebra: [x i ,x j ] = iθ ij . Here we present newExpand
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Geometry of the gauge algebra in noncommutative Yang-Mills Theory
A detailed description of the infinite-dimensional Lie algebra of -gauge transformations in non-commutative Yang-Mills theory is presented. Various descriptions of this algebra are given in terms ofExpand
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Dibaryons as chiral solitons
Abstract In the chiral model with three or more flavours, there are topological excitations which can be interpreted as dibaryon states. They correspond to the six-quark states found by Jaffe in theExpand
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Duality Symmetries and Noncommutative Geometry of String Spacetimes
Abstract:We examine the structure of spacetime symmetries of toroidally compactified string theory within the framework of noncommutative geometry. Following a proposal of Fröhlich and Gawędzki, weExpand
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Spectral geometry with a cut-off: topological and metric aspects
Abstract Inspired by regularization in quantum field theory, we study topological and metric properties of spaces in which a cut-off is introduced. We work in the framework of noncommutativeExpand
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Cosmological perturbations and short distance physics from Noncommutative Geometry
We investigate the possible effects on the evolution of perturbations in the inflationary epoch due to short distance physics. We introduce a suitable non local action for the inflaton field,Expand
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Twisting all the way: From classical mechanics to quantum fields
We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We discussExpand
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