Results 101 to 110 of about 2,501 (221)
Dimensional regularization vs methods in fixed dimension with and without γ 5
We study the Lorentz and Dirac algebra, including the antisymmetric ϵ tensor and the γ 5 matrix, in implicit gauge-invariant regularization/renormalization methods defined in fixed integer dimensions.
A. M. Bruque +2 more
doaj +1 more source
The deformed Dirac equation invariant under the κ-Poincaré-Hopf quantum algebra in the context of minimal and scalar couplings under spin and pseudospin symmetry limits is considered.
Claudio F. Farias, Edilberto O. Silva
doaj +1 more source
Wasserstein Regression, Forecasting, and Change‐Point Detection for Daily Traffic Flow Distributions
ABSTRACT We develop a distribution‐valued framework for modeling, forecasting, and monitoring traffic flow counts by treating each day as a probability distribution summarized by jittered empirical quantile signatures. Inference is conducted under the 2‐Wasserstein geometry, which in one dimension is isometric to the L2(0,1)$$ {L}^2\left(0,1\right ...
Abdolnasser Sadeghkhani
wiley +1 more source
We present an analysis of the Dirac equation when the spin symmetry is changed from SU(2) to the quaternion group, Q8, achieved by multiplying one of the gamma matrices by the imaginary number, i. The reason for doing this is to introduce a bivector into
Bryan Sanctuary
doaj +1 more source
Spatial depth for data in metric spaces
Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley +1 more source
Sextonians and the magic square [PDF]
Associated to any complex simple Lie algebra is a non-reductive complex Lie algebra which we call the intermediate Lie algebra. We propose that these algebras can be included in both the magic square and the magic triangle to give an additional row and ...
BRUCE W. WESTBURY, Westbury, Bruce
core +1 more source
A Structural Approach to Relativistic Symmetry: Dual Relativity and the Lorentz–Heisenberg Algebra
This paper studies a realization-theoretic problem inside the standard Lorentz-covariant Fourier-dual framework on L2(R3,1): whether position-space and momentum-space geometric translations can be placed on equal structural footing without leaving the ...
Daniel Rothbaum
doaj +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
Dirac operators and Lie algebra cohomology
. Dirac cohomology is a new tool to study unitary and admissible representations of semisimple Lie groups. It was introduced by Vogan and further studied by Kostant and ourselves [V2], [HP1], [K4].
Jing-song Huang +2 more
core
On the backreaction of Dirac matter in JT gravity and SYK model
We model backreaction in AdS2 JT gravity via a proposed boundary dual Sachdev-Ye-Kitaev quantum dot coupled to Dirac fermion matter and study it from the perspective of quantum entanglement and chaos.
Pak Hang Chris Lau +3 more
doaj +1 more source

