Results 101 to 110 of about 2,501 (221)

Dimensional regularization vs methods in fixed dimension with and without γ 5

open access: yesJournal of High Energy Physics, 2018
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

Solution of the κ-Deformed Dirac Equation with Vector and Scalar Interactions in the Context of Spin and Pseudospin Symmetries

open access: yesAdvances in High Energy Physics, 2020
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

open access: yesStatistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 3, June 2026.
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

Quaternion Spin

open access: yesMathematics
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

open access: yesScandinavian Journal of Statistics, Volume 53, Issue 2, Page 684-711, June 2026.
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]

open access: yes, 2006
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

open access: yesMathematics
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

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8095-8117, 30 May 2026.
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

open access: yes, 2003
. 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

open access: yesPhysics Letters B
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

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