Results 71 to 80 of about 117,966 (253)
Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories
We show that there is a duality exchanging noncommutativity and non-trivial statistics for quantum field theory on R^d. Employing methods of quantum groups, we observe that ordinary and noncommutative R^d are related by twisting.
Bayen +25 more
core +2 more sources
From quantum deformations of relativistic symmetries to modified kinematics and dynamics [PDF]
Starting from noncommutative generalization of Minkowski space we consider quantum deformed relativistic symmetries which lead to the modification of kinematics of special relativity.
Aschieri P. +3 more
core +2 more sources
From quantum gravity to quantum field theory via noncommutative geometry [PDF]
A link between canonical quantum gravity and fermionic quantum field theory is established in this paper. From a spectral triple construction which encodes the kinematics of quantum gravity semi-classical states are constructed which, in a semi-classical limit, give a system of interacting fermions in an ambient gravitational field.
Aastrup, Johannes +1 more
openaire +3 more sources
Intersecting Quantum Gravity with Noncommutative Geometry - a Review
We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored.
Johannes Aastrup +1 more
doaj +1 more source
Local covariant quantum field theory over spectral geometries
A framework which combines ideas from Connes' noncommutative geometry, or spectral geometry, with recent ideas on generally covariant quantum field theory, is proposed in the present work.
Buchholz D +16 more
core +1 more source
On Theories With Light-Like Noncommutativity [PDF]
We show that field theories with light-like noncommutativity, that is with $\theta^{0i}=-\theta^{1i}$, are unitary quantum theories, and that they can be obtained as decoupled field theory limits of string theory with D-branes in a background NS-NS $B ...
Aharony, Ofer +2 more
core +2 more sources
Models in Decision‐Making Under Risk and Uncertainty
ABSTRACT This paper systematically compares dominant frameworks for modeling decision‐making under risk and uncertainty, evaluating their theoretical trade‐offs and practical relevance for economic research. We establish key criteria for model selection—including predictive accuracy, descriptive realism, computational tractability, and ecological ...
Martin Höppner
wiley +1 more source
The 3D Ising transition, the most celebrated and unsolved critical phenomenon in nature, has long been conjectured to have emergent conformal symmetry, similar to the case of the 2D Ising transition.
Wei Zhu +4 more
doaj +1 more source
Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi +5 more
wiley +1 more source
Actions for noncommutative (NC) gauge field theories can be expanded perturbatively in powers of the noncommutativity parameter $$\theta $$ θ using the Seiberg–Witten map between ordinary classical fields and their NC counterparts. The leading order term
Dušan Ɖorđević, Dragoljub Gočanin
doaj +1 more source

