Zobrazeno 1 - 10
of 508
pro vyhledávání: '"A. Leövey"'
We investigate the application of efficient recursive numerical integration strategies to models in lattice gauge theory from quantum field theory. Given the coupling structure of the physics problems and the group structure within lattice cubature r
Externí odkaz:
http://arxiv.org/abs/2112.05069
Publikováno v:
Journal of Computational Physics Volume 443, 15 October 2021, 110527
High dimensional integrals are abundant in many fields of research including quantum physics. The aim of this paper is to develop efficient recursive strategies to tackle a class of high dimensional integrals having a special product structure with l
Externí odkaz:
http://arxiv.org/abs/2011.05451
In lattice field theory, the interactions of elementary particles can be computed via high-dimensional integrals. Markov-chain Monte Carlo (MCMC) methods based on importance sampling are normally efficient to solve most of these integrals. But these
Externí odkaz:
http://arxiv.org/abs/2002.06456
We show how simple kinks and jumps of otherwise smooth integrands over $\mathbb{R}^d$ can be dealt with by a preliminary integration with respect to a single well chosen variable. It is assumed that this preintegration, or conditional sampling, can b
Externí odkaz:
http://arxiv.org/abs/1712.00920
The (fast) component-by-component (CBC) algorithm is an efficient tool for the construction of generating vectors for quasi-Monte Carlo rank-1 lattice rules in weighted reproducing kernel Hilbert spaces. We consider product weights, which assigns a w
Externí odkaz:
http://arxiv.org/abs/1703.06334
Publikováno v:
In Journal of Computational Physics 15 October 2021 443
The error scaling for Markov-Chain Monte Carlo techniques (MCMC) with $N$ samples behaves like $1/\sqrt{N}$. This scaling makes it often very time intensive to reduce the error of computed observables, in particular for applications in lattice QCD. I
Externí odkaz:
http://arxiv.org/abs/1611.08628
In lattice Quantum Field Theory, we are often presented with integrals over polynomials of coefficients of matrices in U(N) or SU(N) with respect to the Haar measure. In some physical situations, e.g., in presence of a chemical potential, these integ
Externí odkaz:
http://arxiv.org/abs/1610.01931
Publikováno v:
Phys. Rev. D 94, 114508 (2016)
In this paper we describe a new integration method for the groups $U(N)$ and $SU(N)$, for which we verified numerically that it is polynomially exact for $N\le 3$. The method is applied to the example of 1-dimensional QCD with a chemical potential. W
Externí odkaz:
http://arxiv.org/abs/1607.05027
We apply the Quasi Monte Carlo (QMC) and recursive numerical integration methods to evaluate the Euclidean, discretized time path-integral for the quantum mechanical anharmonic oscillator and a topological quantum mechanical rotor model. For the anha
Externí odkaz:
http://arxiv.org/abs/1503.05088