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Fractals, coherent states and self-similarity induced noncommutative geometry
self-similarity fractals squeezed coherent states noncommutative geometry dissipation
2012/6/30
The self-similarity properties of fractals are studied in the framework of the theory of entire analytical functions and the $q$-deformed algebra of coherent states. Self-similar structures are relate...
Fractional and noncommutative spacetimes
noncommutative spacetimes High Energy Physics - Theory
2011/10/9
Abstract: We establish a mapping between fractional and noncommutative spacetimes in configuration space. Depending on the scale at which the relation is considered, there arise two possibilities. For...
The Ricci flow on noncommutative two-tori
noncommutative two-tori Ricci flow High Energy Physics - Theory
2011/10/9
Abstract: In this paper we construct a version of Ricci flow for noncommutative 2-tori, based on a spectral formulation in terms of the eigenvalues and eigenfunction of the Laplacian and recent result...
Noncommutative kappa-Minkowski phi4 theory: Construction, properties and propagation
kappa-deformed space noncommutative quantum field theory High Energy Physics - Theory
2011/10/8
Abstract: We have constructed noncommutative phi^4 field theory on kappa-Minkowski spacetime. Quantum properties via 2-point functions were analized, and effect of birefringence for the massive scalar...
Propagators and Matrix Basis on Noncommutative Minkowski Space
Propagators Matrix Basis Noncommutative Minkowski Space High Energy Physics - Theory
2011/7/29
Abstract: We describe an analytic continuation of the Euclidean Grosse-Wulkenhaar and LSZ models which defines a one-parameter family of duality covariant noncommutative field theories interpolating b...
One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
One-loop Renormalized Coefficient Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories
2011/7/28
Abstract: Recent studies of the $AdS_4/CFT_3$ correspondence involve the construction of a peculiar supersymmetric gauge theory on the worldvolume of multiple M2s branes as a boundary field theory. Un...
Noncommutative spectral geometry, algebra doubling and the seeds of quantization
Noncommutative spectral geometry algebra doubling the seeds of quantization
2011/7/26
Abstract: A physical interpretation of the two-sheeted space, the most fundamental ingredient of noncommutative spectral geometry proposed by Connes as an approach to unification, is presented. It is ...
Minimal length in quantum space and integrations of the line element in Noncommutative Geometry
quantum space integrations line element Noncommutative Geometry
2011/7/25
Abstract: We question the emergence of a minimal length in quantum spacetime, confronting two notions that appeared at various points in the literature: length as the spectrum of an operator L in the ...