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The full asymptotic expansion of the equivariant complex Ray-Singer torsion for high powers of line bundles on symmetric spaces is given in an explicit form. In the case of isolated fixed points this expansion is given for general complex…

微分几何 · 数学 2026-02-10 Kai Köhler

The purpose of this work is to study an approximation to an abstract Bessel-type problem, which is a generalization of the extension problem associated with fractional powers of the Laplace operator. Motivated by the success of such…

数值分析 · 数学 2019-09-11 Joshua L Padgett

An algebraic approximation, of order $K$, of a polyhedron correlation function (CF) can be obtained from $\gamma\pp(r)$, its chord-length distribution (CLD), considering first, within the subinterval $[D_{i-1},\, D_i]$ of the full range of…

综合数学 · 数学 2020-12-03 Salvino Ciccariello

We analyze the static QCD potential V_QCD(r) in the distance region 0.1 fm < r < 1 fm using perturbative QCD and OPE as basic theoretical tools. We assemble theoretical developments up to date and perform a solid and accurate analysis. The…

高能物理 - 唯象学 · 物理学 2008-11-26 Y. Sumino

The unitary coupled cluster (UCC) approximation is one of the more promising wave-function ans\"atze for electronic structure calculations on quantum computers via the variational quantum eigensolver algorithm. However, for large systems…

量子物理 · 物理学 2021-09-30 Jia Chen , Hai-Ping Cheng , James K. Freericks

We give a review and present a comprehensive calculation for the leptonic constant B_{c} of the low-lying pseudoscalar and vector states of B_{c}-meson in the framework of static and QCD-motivated nonrelativistic potential models taking…

高能物理 - 唯象学 · 物理学 2008-11-26 Sameer M. Ikhdair , Ramazan Sever

We propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of…

高能物理 - 格点 · 物理学 2017-08-23 Jun Nishimura

Lattice QCD calculations of inclusive semileptonic decay rates involve new types of systematic effects, such as truncation errors in the estimation of energy integrals, or finite-volume effects for multi-body final states. We investigate…

高能物理 - 格点 · 物理学 2025-04-07 Ryan Kellermann , Alessandro Barone , Ahmed Elgaziari , Shoji Hashimoto , Zhi Hu , Andreas Jüttner , Takashi Kaneko

We present a first scaling test of twisted mass QCD with pure Wilson quarks for a twisting angle of pi/2. We have computed the vector meson mass and the pseudoscalar decay constant for different values of beta at fixed value of r_0 m_PS.…

高能物理 - 格点 · 物理学 2009-11-10 Karl Jansen , Andrea Shindler , Carsten Urbach , Ines Wetzorke

We report the recent progress from our group in extracting observables of both inclusive and exclusive semileptonic heavy-meson decays directly from lattice QCD four-point correlators. On the inclusive side, we illustrate how to estimate…

高能物理 - 格点 · 物理学 2026-01-15 Zhi Hu , Alessandro Barone , Ahmed Elgaziari , Shoji Hashimoto , Andreas Jüttner , Takashi Kaneko , Ryan Kellermann

We investigate how the derivative expansion in the HAL QCD method works to extract physical observables, using a separable potential in quantum mechanics, which is solvable but highly non-local in the coordinate system. We consider three…

高能物理 - 格点 · 物理学 2021-09-17 Sinya Aoki , Koichi Yazaki

We construct the quasi-classical approximation of the form factors in finite volume using the separation of variables. The latter is closely related to the Baxter equation.

高能物理 - 理论 · 物理学 2007-05-23 Feodor A. Smirnov

In an abstract Wiener space setting, we constract a rigorous mathematical model of the one-loop approximation of the perturbative Chern-Simons integral, and derive its explicit asymptotic expansion for stochastic Wilson lines.

微分几何 · 数学 2007-07-03 Itaru Mitoma , Seiki Nishikawa

We summarize the current status of our understanding of the structure of the perturbative QCD expressions for the QCD generalization of the Crewther relation.

高能物理 - 唯象学 · 物理学 2007-05-23 A. L. Kataev

We present a scaling study of lattice QCD with O(a) improved Wilson fermions and a chirally twisted mass term. In order to get precise results with a moderate computational effort, we have considered a system of physical size of 0.75^3 *…

高能物理 - 格点 · 物理学 2009-10-31 M. Della Morte , R. Frezzotti , J. Heitger , S. Sint

This article presents a squeezing transformation for quantum systems associated to finite vector spaces. The physical idea of squeezing here is taken from the action of the usual squeezing operator over wave functions defined on a real…

量子物理 · 物理学 2008-02-29 M. Ruzzi

In the large N_c(number of colors) limit, quenched QCD and QCD are identical. This implies that, in the effective field theory framework, some of the low energy constants in (N_c=3) quenched QCD and QCD are the same up to higher-order…

高能物理 - 格点 · 物理学 2015-06-25 Jiunn-Wei Chen

We present a new approach to extracting continuum quasi distributions from lattice QCD. Quasi distributions are defined by matrix elements of a Wilson-line operator extended in a spatial direction, evaluated between nucleon states at finite…

高能物理 - 格点 · 物理学 2018-04-18 Christopher Monahan , Kostas Orginos

I review the recent progress in lattice QCD, which will be useful in heavy quark physics in the near future. Reviewing the theoretical developments in lattice QCD first, I focus our recent unquenched QCD with dynamical overlap fermion as…

高能物理 - 唯象学 · 物理学 2009-06-15 Tetsuya Onogi

Kernel approximation with exponentials is useful in many problems with convolution quadrature and particle interactions such as integral-differential equations, molecular dynamics and machine learning. This paper proposes a weighted…

计算物理 · 物理学 2025-05-07 Yuanshen Lin , Zhenli Xu , Yusu Zhang , Qi Zhou