Results 11 to 20 of about 3,211 (69)
Gauge Theories Coupled to Fermions in Generation [PDF]
, 1998 Gauge theories coupled to fermions in generation are reformulated in a modified version of extended differential geometry with the symbol $\chi$. After discussing several toy models, we will reformulate in our framework the standard model based on Connes'
Kase, Hiromi +2 more
core +3 more sources
On the Dolbeault–Dirac operator of quantized symmetric spaces
Transactions of the London Mathematical Society, Volume 2, Issue 1, Page 33-56, 2015., 2015 The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl. This defines a spectral triple quan‐tizing the Dolbeault–Dirac operator associated to the canonical spin c structure.
Ulrich Krähmer +1 more
wiley +1 more source
Towards Noncommutative Linking Numbers via the Seiberg‐Witten Map
Advances in Mathematical Physics, Volume 2015, Issue 1, 2015., 2015 Some geometric and topological implications of noncommutative Wilson loops are explored via the Seiberg‐Witten map. In the abelian Chern‐Simons theory on a three‐dimensional manifold, it is shown that the effect of noncommutativity is the appearance of 6n new knots at the nth order of the Seiberg‐Witten expansion.
H. García-Compeán +3 more
wiley +1 more source
Advances in High Energy Physics, Volume 2015, Issue 1, 2015., 2015 The Duffin‐Kemmer‐Petiau oscillator for spin 0 particle in noncommutative plane is analyzed and the energy eigenvalue of the system is obtained by employing the functional analysis method. Furthermore, the thermodynamic properties of the noncommutative DKP oscillator are investigated via numerical method and the influence of noncommutative space on ...
Zhi Wang +4 more
wiley +1 more source
A Kastler‐Kalau‐Walze Type Theorem for 7‐Dimensional Manifolds with Boundary
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We give a brute‐force proof of the Kastler‐Kalau‐Walze type theorem for 7‐dimensional manifolds with boundary.
Jian Wang, Yong Wang, Gang Xu
wiley +1 more source
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We prove a Kastler‐Kalau‐Walze type theorem for perturbations of Dirac operators on compact manifolds with or without boundary. As a corollary, we give two kinds of operator‐theoretic explanations of the gravitational action on boundary. We also compute the spectral action for Dirac operators with two‐form perturbations on 4‐dimensional compact ...
Yong Wang, Jaume Giné
wiley +1 more source
Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity
, 2015 Noncommutative geometry, in its many incarnations, appears at the crossroad of various researches in theoretical and mathematical physics: from models of quantum space-time (with or without breaking of Lorentz symmetry) to loop gravity and string theory,
Martinetti, Pierre
core +1 more source
The Hausdorff Dimension of the Penrose Universe
Physics Research International, Volume 2011, Issue 1, 2011., 2011 Penrose fractal tiling is one of the simplest generic examples for a noncommutative space. In the present work, we determine the Hausdorff dimension corresponding to a four‐dimensional analogue of the so‐calledPenrose Universe and show how it could be used in resolving various fundamental problems in high energy physics and cosmology.
L. Marek-Crnjac, Leonardo Golubovic
wiley +1 more source
Infinite‐Dimensional Lie Groups and Algebras in Mathematical Physics
Advances in Mathematical Physics, Volume 2010, Issue 1, 2010., 2010 We give a review of infinite‐dimensional Lie groups and algebras and show some applications and examples in mathematical physics. This includes diffeomorphism groups and their natural subgroups like volume‐preserving and symplectic transformations, as well as gauge groups and loop groups.
Rudolf Schmid, G. A. Goldin
wiley +1 more source
A Short Survey of Noncommutative Geometry
, 2000 We give a survey of selected topics in noncommutative geometry, with some emphasis on those directly related to physics, including our recent work with Dirk Kreimer on renormalization and the Riemann-Hilbert problem. We discuss at length two issues.
Alain Connes +46 more
core +2 more sources