Results 31 to 40 of about 3,211 (69)

Deformation quantization and the Baum-Connes conjecture

, 2002
Alternative titles of this paper would have been `Index theory without index' or `The Baum-Connes conjecture without Baum.' In 1989, Rieffel introduced an analytic version of deformation quantization based on the use of continuous fields of C*-algebras ...
Landsman, N. P.
core   +3 more sources

Matrix Models, Emergent Spacetime and Symmetry Breaking [PDF]

, 2009
We discuss how a matrix model recently shown to describe emergent gravity may contain extra degrees of freedom which reproduce some characteristics of the standard model, in particular the breaking of symmetries and the correct quantum numbers of ...
Grosse, Harald, Lizzi, Fedele, Steinacker, Harold   +2 more
core  

Chirality and Dirac Operator on Noncommutative Sphere

, 1996
We give a derivation of the Dirac operator on the noncommutative $2$-sphere within the framework of the bosonic fuzzy sphere and define Connes' triple. It turns out that there are two different types of spectra of the Dirac operator and correspondingly ...
A. Connes, A.H. Chamseddine, A.M. Perelomov, C. Jayewardena, F.A. Berezin, F.A. Berezin, F.A. Berezin, F.D.M. Haldane, G. Fano, H. Grosse, H. Grosse, H. Grosse, J. Madore, J. Madore, L.A. Coburn, M. Bordemann, M. Bordemann, M. Cahen, M. Dubois-Violette, M. Dubois-Violette, M. Dubois-Violette, M. Dubois-Violette, P. Podles, S. Klimek, Satoshi Watamura, Ursula Carow-Watamura, V. Bargmann   +26 more
core   +2 more sources

Bosonic Spectral Action Induced from Anomaly Cancelation [PDF]

, 2010
We show how (a slight modification of) the noncommutative geometry bosonic spectral action can be obtained by the cancelation of the scale anomaly of the fermionic action.
Andrianov, A. A., Lizzi, Fedele
core   +2 more sources

Elliptic Operators and Higher Signatures

, 2004
Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov's higher signatures on closed manifolds; - the problem of cut-and-paste invariance of Novikov's higher ...
Leichtnam, Eric, Piazza, Paolo
core   +1 more source

Seesaw and noncommutative geometry

, 2007
The 1-loop corrections to the seesaw mechanism in the noncommutative standard model are computed. Other consequences of the Lorentzian signature in the inner space are summarised.Comment: Dedicated to Alain Connes on the occasion of his 60th ...
Antusch, Antusch, Babu, Barrett, Casas, Chamseddine, Chamseddine, Christoph A. Stephan, Connes, Connes, Connes, Connes, Connes, Disertori, Fargion, Ford, Gracia-Bondía, Griest, Grosse, Iochum, Iochum, Jan-H. Jureit, Jureit, Jureit, Jureit, Jureit, Khlopov, Knecht, Krajewski, Lazzarini, Lizzi, Machacek, Machacek, Machacek, Okun, Paschke, Paschke, Pris, Pris, Schücker, Schücker, Schücker, Stephan, Stephan, Stephan, Thomas, Thomas Krajewski, Thomas Schücker, Veltman   +48 more
core   +2 more sources

Almost-Commutative Geometries Beyond the Standard Model

, 2005
In [7-9] and [10] the conjecture is presented that almost-commutative geometries, with respect to sensible physical constraints, allow only the standard model of particle physics and electro-strong models as Yang-Mills-Higgs theories. In this publication
Christoph A Stephan, Connes A, Connes A, Fargion D Khlopov M Stephan C A, Gracia-Bondia J M, Jureit J-H Stephan C A, Knecht M Schücker T, Schücker T, Schücker T   +8 more
core   +1 more source

Local and Global Properties of the World [PDF]

, 1997
The essence of the method of physics is inseparably connected with the problem of interplay between local and global properties of the universe. In the present paper we discuss this interplay as it is present in three major departments of contemporary ...
Demaret, Jacques, Heller, Michael, Lambert, Dominique   +2 more
core   +1 more source

Deformations of Differential Calculi

, 1995
It has been suggested that quantum fluctuations of the gravitational field could give rise in the lowest approximation to an effective noncommutative version of Kaluza-Klein theory which has as extra hidden structure a noncommutative geometry.
Madore, J., Mourad, J., Sitarz, A.
core   +1 more source

Spin group and almost commutative geometry

, 2000
For Connes' spectral triples, the group of automorphisms lifted to the Hilbert space is defined and used to fluctuate the metric. A few commutative examples are presented including Chamseddine and Connes' spectral unification of gravity and ...
Schucker, Thomas
core   +1 more source