Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Roelfs, Martin"'
Plane-based Geometric Algebra (PGA) has revealed points in a $d$-dimensional pseudo-Euclidean space $\mathbb{R}_{p,q,1}$ to be represented by $d$-blades rather than vectors. This discovery allows points to be factored into $d$ orthogonal hyperplanes,
Externí odkaz:
http://arxiv.org/abs/2401.01142
A new solution strategy for quadratic eigenvalue problems, and the derivatives of the eigenvalues, is proposed, by combining the generalized reduction method with dual numbers. To demonstrate the method, we use the quadratic eigenvalue problem encoun
Externí odkaz:
http://arxiv.org/abs/2205.11390
Autor:
De Keninck, Steven, Roelfs, Martin
Publikováno v:
Math Meth Appl Sci. 2022; 1- 17
Geometric algebras of dimension $n < 6$ are becoming increasingly popular for the modeling of 3D and 3+1D geometry. With this increased popularity comes the need for efficient algorithms for common operations such as normalization, square roots, and
Externí odkaz:
http://arxiv.org/abs/2206.07496
The estimation of the K\"all\'en-Lehmann spectral density from gauge invariant lattice QCD two point correlation functions is proposed, and explored via an inversion strategy based on Tikhonov regularisation. We test the method on a mesonic toy model
Externí odkaz:
http://arxiv.org/abs/2112.06785
Autor:
Roelfs, Martin, De Keninck, Steven
The symmetries described by Pin groups are the result of combining a finite number of discrete reflections in (hyper)planes. The current work shows how an analysis using geometric algebra provides a picture complementary to that of the classic matrix
Externí odkaz:
http://arxiv.org/abs/2107.03771
Publikováno v:
Eur. Phys. J. C 82, 251 (2022)
The estimation of the K\"all\'en-Lehmann spectral density from gauge invariant lattice QCD two point correlation functions is proposed, and explored via an appropriate inversion method. As proof of concept the SU(2) glueball spectrum for the quantum
Externí odkaz:
http://arxiv.org/abs/2103.11846
Autor:
Roelfs, Martin
A novel invariant decomposition of diagonalizable $n \times n$ matrices into $n$ commuting matrices is presented. This decomposition is subsequently used to split the fundamental representation of $\mathfrak{su}(3)$ Lie algebra elements into at most
Externí odkaz:
http://arxiv.org/abs/2102.11940
Publikováno v:
J. Comput. Appl. Math. (2021), 113699
The known Complex Step Derivative (CSD) method allows easy and accurate differentiation up to machine precision of real analytic functions by evaluating them a small imaginary step next to the real number line. The current paper proposes that derivat
Externí odkaz:
http://arxiv.org/abs/2010.09543
Publikováno v:
Nucl. Phys. B. 952, 114912 (2020)
We consider the analytic continuation of Euclidean propagator data obtained from 4D simulations to Minkowski space. In order to perform this continuation, the common approach is to first extract the K\"all\'en-Lehmann spectral density of the field. O
Externí odkaz:
http://arxiv.org/abs/1901.05348
Autor:
Cucchieri, Attilio, Dudal, David, Mendes, Tereza, Oliveira, Orlando, Roelfs, Martin, Silva, Paulo J.
We discuss possible definitions of the Faddeev-Popov matrix for the minimal linear covariant gauge on the lattice and present preliminary results for the ghost propagator.
Comment: 8 pages (XIII Quark Confinement and the Hadron Spectrum - Confin
Comment: 8 pages (XIII Quark Confinement and the Hadron Spectrum - Confin
Externí odkaz:
http://arxiv.org/abs/1812.00429