scholarly journals THE FERMION DOUBLING PROBLEM AND NONCOMMUTATIVE GEOMETRY

2000 ◽  
Vol 15 (19) ◽  
pp. 1279-1286 ◽  
Author(s):  
A. P. BALACHANDRAN ◽  
T. R. GOVINDARAJAN ◽  
B. YDRI
Keyword(s):  
Noncommutative Geometry ◽  
Field Theories ◽  
Fuzzy Sphere ◽  
Cartesian Products

We propose a resolution for the fermion doubling problem in discrete field theories based on the fuzzy sphere and its Cartesian products. Its relation to the Ginsparg–Wilson approach is also clarified.

scholarly journals On the Koszul formula in noncommutative geometry

2020 ◽  
Vol 32 (10) ◽  
pp. 2050032 ◽  
Author(s):  
Jyotishman Bhowmick ◽  
Debashish Goswami ◽  
Giovanni Landi
Keyword(s):  
Scalar Curvature ◽  
Noncommutative Geometry ◽  
Spectral Triple ◽  
Fuzzy Sphere ◽  
Civita Connection ◽  
Canonical Metric ◽  
Levi Civita Connection

We prove a Koszul formula for the Levi-Civita connection for any pseudo-Riemannian bilinear metric on a class of centered bimodule of noncommutative one-forms. As an application to the Koszul formula, we show that our Levi-Civita connection is a bimodule connection. We construct a spectral triple on a fuzzy sphere and compute the scalar curvature for the Levi-Civita connection associated to a canonical metric.

scholarly journals Noncommutative Geometry¶and Gauge Theory on Fuzzy Sphere

2000 ◽  
Vol 212 (2) ◽  
pp. 395-413 ◽  
Author(s):  
Ursula Carow-Watamura ◽  
Satoshi Watamura
Keyword(s):  
Gauge Theory ◽  
Noncommutative Geometry ◽  
Fuzzy Sphere

QUANTIZING FIELD THEORIES IN NONCOMMUTATIVE GEOMETRY AND THE AdS/CFT CORRESPONDENCE

2000 ◽  
Vol 14 (22n23) ◽  
pp. 2355-2358 ◽  
Author(s):  
KAMRAN KAVIANI
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Noncommutative Geometry ◽  
Field Theories ◽  
Quantum Field ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory

By using the approach of noncommutative geometry, we study spinors and scalars on the two layers AdSd+1 space. We have found that in the boundary of two layers AdSd+1 Space, by using the AdS/CFT correspondence, we have a logarithmic conformal field theory. This observation propose a way to get the quantum field theory in the context of noncommutative geometry.

scholarly journals Super-Chandrasekhar limiting mass white dwarfs as emergent phenomena of noncommutative squashed fuzzy spheres

2021 ◽  
pp. 2150101
Author(s):  
Surajit Kalita ◽  
T. R. Govindarajan ◽  
Banibrata Mukhopadhyay
Keyword(s):  
Noncommutative Geometry ◽  
White Dwarfs ◽  
Ad Hoc ◽  
Indirect Evidence ◽  
The Other ◽  
Length Scale ◽  
Fuzzy Sphere ◽  
Mass Limit ◽  
Emergent Phenomenon ◽  
Emergent Phenomena

The indirect evidence for at least a dozen massive white dwarfs (WDs) violating the Chandrasekhar mass limit is considered to be one of the wonderful discoveries in astronomy for more than a decade. Researchers have already proposed a diverse amount of models to explain this astounding phenomenon. However, each of these models always carries some drawbacks. On the other hand, noncommutative geometry is one of the best replicas of quantum gravity, which is yet to be proved from observations. Madore introduced the idea of a fuzzy sphere to describe a formalism of noncommutative geometry. This paper shows that the idea of a squashed fuzzy sphere can self-consistently explain the super-Chandrasekhar limiting mass WDs. We further show that the length scale beyond which the noncommutativity is prominent is an emergent phenomenon, and there is no prerequisite for an ad hoc length scale.

Dualism QM and GR

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Mechanics ◽  
General Theory ◽  
Noncommutative Geometry ◽  
Quantum Tunneling ◽  
Closed Surface ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Surface Integral ◽  
Definition Of

Quantum tunneling of noncommutative geometry gives the definition of time in the form of holography, that is, in the form of a closed surface integral. Ultimately, the holography of time shows the dualism between quantum mechanics and the general theory of relativity.

Beyond the Standard Model

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Supergravity Models ◽  
Standard Model ◽  
Field Theories ◽  
Beyond The Standard Model ◽  
Super Symmetry ◽  
The Standard Model ◽  
Topological Field ◽  
Supersymmetric Theories

The motivation for supersymmetry. The algebra, the superspace, and the representations. Field theory models and the non-renormalisation theorems. Spontaneous and explicit breaking of super-symmetry. The generalisation of the Montonen–Olive duality conjecture in supersymmetric theories. The remarkable properties of extended supersymmetric theories. A brief discussion of twisted supersymmetry in connection with topological field theories. Attempts to build a supersymmetric extention of the standard model and its experimental consequences. The property of gauge supersymmetry to include general relativity and the supergravity models.

Sign in / Sign up

Export Citation Format

Share Document