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Related papers: A modern Fortran library for SU(3) coupling and re…

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An approximate technique for performing nonperturbative calculations in quantum SU(3) gauge theory is presented. One aspect of this nonperturbative method is the breaking down $SU(3) \to SU(2) + coset$. The procedure also uses some aspects…

High Energy Physics - Phenomenology · Physics 2009-11-10 Vladimir Dzhunushaliev , Douglas Singleton , Tatyana Nikulicheva

Coupling constants of the pseudoscalar mesons to the octet baryons are computed in the QCD sum rule approach. The pi-NN, eta-NN, pi-XiXi, eta-XiXi, pi-SigmaSigma, eta-SigmaSigma as well as pi-Lambda-Sigma couplings are studied. Determining…

High Energy Physics - Phenomenology · Physics 2009-11-07 Takumi Doi , Hungchong Kim , Yoshihiko Kondo , Makoto Oka

We report results of autocorrelation measurements in pure $SU(3)$ lattice gauge theory. The computations are performed on the {\sc convex spp1200} parallel platform within the {\sc canopy} programming environment. The focus of our analysis…

High Energy Physics - Lattice · Physics 2008-11-26 Terrence Draper , Constantine Nenkov , Mike Peardon

We implement the Gutzwiller wave function for attractive SU(3) fermion systems on a quantum computer using a quantum-classical hybrid scheme based on the discrete Hubbard-Stratonovich transformation. In this approach, the nonunitary…

Quantum Physics · Physics 2025-12-16 Han Xu , Kazuhiro Seki , Seiji Yunoki

We present a new $\texttt{python}$ package SARABANDE for measuring 3 & 4 Point Correlation Functions (3/4 PCFs) in $\mathcal{O}(N_{\rm g} \log N_{\rm g})$ time using Fast Fourier Transforms (FFTs), with $N_{\rm g}$ the number of grid points…

Instrumentation and Methods for Astrophysics · Physics 2022-10-26 James Sunseri , Zachary Slepian , Stephen Portillo , Jiamin Hou , Sule Kahraman , Douglas P. Finkbeiner

We study the forrelation problem: given a pair of $n$-bit Boolean functions $f$ and $g$, estimate the correlation between $f$ and the Fourier transform of $g$. This problem is known to provide the largest possible quantum speedup in terms…

Quantum Physics · Physics 2021-11-02 Sergey Bravyi , David Gosset , Daniel Grier , Luke Schaeffer

This manual describes the library of conjugate gradients codes CCGPAK, which solves system of complex linear system of equations. The library is written in FORTRAN90 and is highly portable. The codes are general and provide mechanism for…

Mathematical Software · Computer Science 2012-08-27 Piotr J. Flatau

This paper analyses type II string theories in backgrounds which admit an SU(3) x SU(3) structure. Such backgrounds are designed to linearly realize eight out of the original 32 supercharges and as a consequence the low-energy effective…

High Energy Physics - Theory · Physics 2010-10-27 Mariana Graña , Jan Louis , Daniel Waldram

We study supersymmetric unified models with three fermion generations based on the gauge group $SO(10)$ and require Gauge-Yukawa Unification, i.e., a renormalization group invariant functional relationship among the gauge and Yukawa…

High Energy Physics - Phenomenology · Physics 2011-01-27 Jisuke Kubo , Myriam Mondragon , Shigeyuki Shoda , George Zoupanos

aITALC, a new tool for automating loop calculations in high energy physics, is described. The package creates Fortran code for two-fermion scattering processes automatically, starting from the generation and analysis of the Feynman graphs.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alejandro Lorca , Tord Riemann

We consider the extended electroweak gauge group SU(2)_1 \times SU(2)_2 \times U(1)_Y where the first and second families of fermions couple to SU(2)_1 while the third family couples to SU(2)_2. Bounds based an precision electroweak…

High Energy Physics - Phenomenology · Physics 2007-05-23 David J. Muller , Satya Nandi

We develop a novel sampling theorem for functions defined on the three-dimensional rotation group SO(3) by connecting the rotation group to the three-torus through a periodic extension. Our sampling theorem requires $4L^3$ samples to…

Information Theory · Computer Science 2016-01-11 J. D. McEwen , M. Büttner , B. Leistedt , H. V. Peiris , Y. Wiaux

Fourier analysis on the discrete hypercubes $\{-1,1\}^n$ has found numerous applications in learning theory. A recent breakthrough involves the use of a classical result from Fourier analysis, the Bohnenblust--Hille inequality, in the…

Functional Analysis · Mathematics 2024-09-18 Haonan Zhang

We give a new upper bound on the quantum query complexity of deciding $st$-connectivity on certain classes of planar graphs, and show the bound is sometimes exponentially better than previous results. We then show Boolean formula evaluation…

Quantum Physics · Physics 2019-12-19 Stacey Jeffery , Shelby Kimmel

Similarity between the weak interaction properties of quarks and leptons has led to suggestions that the origin of lepton mixing angles may be related to those of quarks. In this paper, we present a gauge model based on $SU(2)_L \times…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. H. Frampton , R. N. Mohapatra

In this paper, the Slater integrals for a screened Coulomb interaction of the the Yukawa form are calculated and by fitting the Thomas-Fermi wavevector, good agreement is obtained with experiment for the multiplet spectra of $Pr^{3+}$ and…

Condensed Matter · Physics 2016-08-31 M. R. Norman

We analyze the Standard Model gauge group SU(3) x SU(2) x U(1) constructed in F-theory. The non-Abelian part SU(3) x SU(2) is described by singularities of Kodaira type. It is distinguished to naive product of SU(3) and SU(2), revealed by…

High Energy Physics - Theory · Physics 2015-06-17 Kang-Sin Choi

We present results of quenched $SU(3)$ hadron spectroscopy using $\order(a)$ improved Wilson fermions. The configurations were generated using an $\order(a^2)$ improved 6-link $SU(3)$ pure gauge action at $\beta$'s corresponding to lattice…

High Energy Physics - Lattice · Physics 2010-01-18 Sara Collins , Robert G. Edwards , Urs M. Heller , John Sloan

The significant heavy threshold effect is found in the supersymmetric SU(5) model with two adjoint scalars, one of which is interpreted as a massive string mode decoupled from the lower-energy particle spectra. This threshold related with…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. L. Chkareuli , I. G. Gogoladze

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…

Numerical Analysis · Mathematics 2021-07-28 Tobias Hartung , Karl Jansen , Frances Y. Kuo , Hernan Leövey , Dirk Nuyens , Ian H. Sloan