✦ LIBER ✦

The scalar potential in noncommutative geometry

✍ Scribed by A.H. Chamseddine

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 423 KB
Volume: 373
Category: Article
ISSN: 0370-2693
DOI: 10.1016/0370-2693(96)00089-5

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Gravity and electromagnetism in noncommu

Gravity and electromagnetism in noncommutative geometry

✍ Giovanni Landi; Nguyen Ai Viet; Kameshwar C. Wali 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 346 KB

Distances in finite spaces from noncommu

Distances in finite spaces from noncommutative geometry

✍ Bruno Iochum; Thomas Krajewski; Pierre Martinetti 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 190 KB

Following the general principles of noncommutative geometry, it is possible to define a metric on the space of pure states of the noncommutative algebra generated by the coordinates. This metric generalizes the usual Riemannian one. We investigate some general properties of this metric in finite com

Noncommutative Riemannian geometry of th

Noncommutative Riemannian geometry of the alternating group A4

✍ F. Ngakeu; S. Majid; D. Lambert 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 167 KB

We study the noncommutative Riemannian geometry of the alternating group A 4 = (Z 2 × Z 2 ) Z 3 using the recent formulation for finite groups. We find a unique 'Levi-Civita' connection for the invariant metric, and find that it has Ricci flat but nonzero Riemann curvature. We show that it is the un

A nonperturbative form of the spectral a

A nonperturbative form of the spectral action principle in noncommutative geometry

✍ H. Figueroa; J.M. Gracia-Bondía; F. Lizzi; J.C. Várilly 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 787 KB

Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle in noncommutative geometry, giving rise, through the spectral action principle, only to the Einstein gravity and Standard Model Yang-Mills-Higgs terms.

Noncommutative differential geometry, an

Noncommutative differential geometry, and the matrix representations of generalised algebras

✍ J. Gratus 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 951 KB

In the early days [ 1,2] a was taken to be A itself. Later [9, Chap. 31 examples where Z? formed a Lie algebra, or some other algebraic relationship such as [p, X] = 1 as in quantum mechanics, or xy = qyx as in q-deformed algebras, were studied. For each subspace B one could construct a co-frame. T

Applications of Connes' Geodesic Flow to

Applications of Connes' Geodesic Flow to Trace Formulas in Noncommutative Geometry

✍ François Golse; Eric Leichtnam 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 428 KB

The ``trace formula'' of Chazarain, Duistermaat, and Guillemin expresses that the singularities of the distribution trace of the wave group on a compact Riemannian manifold X is included in the set of periods of the geodesic flow restricted to S\*X. Most of the objects involved in this trace formula