Results 41 to 50 of about 90,797 (173)

Effective Field Theories on Non-Commutative Space-Time [PDF]

, 2003
We consider Yang-Mills theories formulated on a non-commutative space-time described by a space-time dependent anti-symmetric field $\theta^{\mu\nu}(x)$.
A. Anisimov, A. Bichl, A. Hashimoto, A.S. Cattaneo, B. Jurco, B. Jurco, B. Jurco, C.E. Carlson, C.E. Carlson, C.N. Yang, C.P. Martin, G. Dito, H. Kase, H. Weyl, H.S. Snyder, I. Hinchliffe, I. Mocioiu, J. Lukierski, J. Madore, J.E. Moyal, J.L. Hewett, K. Morita, L. Cornalba, L. Dolan, L.J. Garay, M. Hayakawa, M.R. Douglas, Michael Wohlgenannt, N. Seiberg, S. Majid, S.M. Carroll, V. Schomerus, X. Calmet, Xavier Calmet, Z. Chang   +34 more
core   +4 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Non-commutativity, Zero modes and D-brane Geometry

, 1999
The non-commutative geometry is revisited from the perspective of a generalized D p-brane. In particular, we analyze the open bosonic string world-sheet description and show that an effective non-commutative description on a D p-brane corresponds to a re-
Abouelsaood, Ardalan, Banks, Berkooz, Bigatti, Callan, Cheung, Chu, Connes, Douglas, Douglas, Douglas, Fradkin, Ho, Ishibashi, Ishibashi, Kar, Kar, Kar, Kato, Kawano, Li, Okuyama, Polchinski, Schomerus, Sieberg, Supriya Kar, Witten   +27 more
core   +2 more sources

Continued fractions, modular symbols, and non-commutative geometry [PDF]

, 2001
Using techniques introduced by D. Mayer, we prove an extension of the classical Gauss-Kuzmin theorem about the distribution of continued fractions, which in particular allows one to take into account some congruence properties of successive convergents ...
Manin, Yuri I., Marcolli, Matilde
core   +3 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

One-loop corrections to the spectral action

Journal of High Energy Physics, 2022
We analyze the perturbative quantization of the spectral action in noncommutative geometry and establish its one-loop renormalizability in a generalized sense, while staying within the spectral framework of noncommutative geometry. Our result is based on
Teun D. H. van Nuland, Walter D. van Suijlekom   +1 more
doaj   +1 more source

The Chern-Simons Action in Non-Commutative Geometry [PDF]

, 1994
A general definition of Chern-Simons actions in non-commutative geometry is proposed and illustrated in several examples. These are based on ``space-times'' which are products of even-dimensional, Riemannian spin manifolds by a discrete (two-point) set ...
Chamseddine, A. H., Fröhlich, J.
core   +2 more sources

Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities

Computer Graphics Forum, EarlyView.
Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev, L. Bastian, D. Cao, N. El Amrani, P. Roetzer, V. Ehm, R. Marin, H. Nishizawa, S. Morishima, C. Theobalt, N. Navab, D. Cremers, F. Bernard, Z. Lähner, V. Golyanik   +14 more
wiley   +1 more source

Differential Algebras in Non-Commutative Geometry

, 1993
We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of ...
Chamseddine, Chamseddine, Chamseddine, Chamseddine, Connes, Coquereaux, Coquereaux, Coquereaux, Häußling, Häußling, J. Plass, J.-M. Warzecha, Kastler, Matthai, N.A. Papadopoulos, Papadopoulos, Plass, Quillen, W. Kalau, Warzecha   +19 more
core   +1 more source

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source