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The finite energy sum rule extraction of the strong coupling {\alpha}_s from hadronic {\tau} decay data provides one of its most precise experimental determinations. As precision improves, small non-perturbative effects become increasingly…

High Energy Physics - Lattice · Physics 2011-11-23 Diogo Boito , Oscar Catà , Maarten Golterman , Matthias Jamin , Kim Maltman , James Osborne , Santiago Peris

Coupling normalizing flows allow for fast sampling and density evaluation, making them the tool of choice for probabilistic modeling of physical systems. However, the standard coupling architecture precludes endowing flows that operate on…

Near-term quantum machine learning must balance expressivity, optimization, and hardware constraints. We study quantum re-uploading units (QRUs) as compact circuits and compare them, at matched parameter count, to a standard mono-encoded…

Quantum Physics · Physics 2026-02-03 Léa Cassé , Bernhard Pfahringer , Albert Bifet , Frédéric Magniette

We construct large-N_c motivated approximate chiral SU(3) amplitudes of next-to-next-to-leading order. The amplitudes are independent of the renormalization scale. Fitting lattice data with those amplitudes allows for the extraction of…

High Energy Physics - Phenomenology · Physics 2015-06-17 G. Ecker , P. Masjuan , H. Neufeld

Simulations of gauge theories on quantum computers require the digitization of continuous field variables. Digitization schemes that uses the minimum amount of qubits are desirable. We present a practical scheme for digitizing $SU(3)$ gauge…

High Energy Physics - Lattice · Physics 2019-12-11 Andrei Alexandru , Paulo F. Bedaque , Siddhartha Harmalkar , Henry Lamm , Scott Lawrence , Neill C. Warrington

We construct three flipped SU(5) X U(1)_X models from F-theory, and consider two such models from free fermionic string model building. To achieve the decoupling scenario in F-theory models and the string-scale gauge coupling unification in…

High Energy Physics - Theory · Physics 2015-05-13 Jing Jiang , Tianjun Li , Dimitri V. Nanopoulos , Dan Xie

We present a grand unified model based on the supersymmetric $SU(3)_L\otimes SU(3)_{CL}\otimes SU(3)_{CR}\otimes SU(3)_R$ gauge group, which unifies in one single step the three gauge couplings of the standard model at an scale $M\sim…

High Energy Physics - Phenomenology · Physics 2009-10-31 Abdel Pérez-Lorenzana , William A. Ponce

The traditional approach for studying the physics of the strong interactions employs a basic computational construct originally proposed by Wilson in the 1970s. Over the years additional enhancements have been added to this formulation to…

High Energy Physics - Lattice · Physics 2018-11-06 Patrick Dreher

A presentation of the problem of calculating the vector coupling coefficients for $SU3 \supset SU2 \otimes U1$ is made, in the spirit of traditional treatments of SU2 coupling. The coefficients are defined as the overlap matrix element…

Nuclear Theory · Physics 2007-05-23 H. Thomas Williams

We calculate the SU(3)-breaking corrections to the hyperon vector coupling $f_1(0)$ up to $\mathcal{O}(p^4)$ in covariant baryon chiral perturbation theory with dynamical octet and decuplet contributions. We find that the decuplet…

High Energy Physics - Phenomenology · Physics 2009-07-30 L. S. Geng , J. Martin Camalich , M. J. Vicente Vacas

It was shown recently that the original SU(5) theory of Georgi and Glashow, augmented with an adjoint fermionic multiplet 24_F, can be made compatible both with neutrino masses and gauge coupling unification. In particular, the model…

High Energy Physics - Phenomenology · Physics 2013-08-09 Luca Di Luzio , Luminita Mihaila

Although Fourier series approximation is ubiquitous in computational physics owing to the Fast Fourier Transform (FFT) algorithm, efficient techniques for the fast evaluation of a three-dimensional truncated Fourier series at a set of…

Numerical Analysis · Mathematics 2017-03-08 Marco Caliari , Simone Zuccher

We construct fast algorithms for evaluating transforms associated with families of functions which satisfy recurrence relations. These include algorithms both for computing the coefficients in linear combinations of the functions, given the…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Mark Tygert

The SU(3) lattice gauge theory is reformulated in terms of SU(3) prepotential harmonic oscillators. This reformulation has enlarged $SU(3)\otimes U(1) \otimes U(1)$ gauge invariance under which the prepotential operators transform like…

High Energy Physics - Lattice · Physics 2010-04-30 Ramesh Anishetty , Manu Mathur , Indrakshi Raychowdhury

Here we revisit the quantum algorithms for obtaining Forrelation [Aaronson et al, 2015] values to evaluate some of the well-known cryptographically significant spectra of Boolean functions, namely the Walsh spectrum, the cross-correlation…

Quantum Physics · Physics 2025-05-20 Suman Dutta , Subhamoy Maitra , Chandra Sekhar Mukherjee

For SU(3) lattice QCD calculations at finite baryon-number densities, we propose the ``SO(3) real algebra method'', in which the SU(3) gauge variable is divided into the SO(3) and SU(3)/SO(3) parts. In this method, we introduce the…

High Energy Physics - Lattice · Physics 2025-12-23 Hideo Suganuma , Kei Tohme

Many computer vision applications need to recover structure from imperfect measurements of the real world. The task is often solved by robustly fitting a geometric model onto noisy and outlier-contaminated data. However, recent theoretical…

Computer Vision and Pattern Recognition · Computer Science 2020-10-12 Tat-Jun Chin , David Suter , Shin-Fang Chng , James Quach

Feynman's diagrammatic series is a common language for a formally exact theoretical description of systems of infinitely-many interacting quantum particles, as well as a foundation for precision computational techniques. Here we introduce a…

Strongly Correlated Electrons · Physics 2024-09-12 Evgeny Kozik

We perform a precision computation of hybrid static potentials with quantum numbers $\Lambda_\eta^\epsilon = \Sigma_g^-,\Sigma_u^+,\Sigma_u^-,\Pi_g,\Pi_u,\Delta_g,\Delta_u$ using SU(3) lattice gauge theory. The resulting potentials are used…

High Energy Physics - Lattice · Physics 2019-02-20 Stefano Capitani , Owe Philipsen , Christian Reisinger , Carolin Riehl , Marc Wagner

In a recent paper \cite{ft} a new powerful method to calculate Feynman diagrams was proposed. It consists in setting up a Taylor series expansion in the external momenta squared. The Taylor coefficients are obtained from the original…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Fleischer , O. V. Tarasov