Results 21 to 30 of about 13,948,536 (305)

The five-loop beta function of Yang-Mills theory with fermions [PDF]

open access: yes, 2017
A bstractWe have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories with a simple compact Lie group, and for Quantum ...
F. Herzog   +4 more
semanticscholar   +1 more source

Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family

open access: yesFractal and Fractional, 2022
The main goal of this article is to explore a new type of polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix polynomials, through operational techniques.
Tabinda Nahid, Junesang Choi
doaj   +1 more source

A new method for the beta function in the chiral symmetry broken phase [PDF]

open access: yes, 2017
We describe a new method to determine non-perturbatively the beta function of a gauge theory using lattice simulations in the p-regime of the theory. This complements alternative measurements of the beta function working directly at zero fermion mass and
Z. Fodor   +4 more
semanticscholar   +1 more source

Probabilistic Machine Learning Using Bayesian Inference

open access: yesUndergraduate Journal of Mathematical Modeling: One + Two, 2020
Machine Learning is a branch of AI (Artificial Intelligence) which expands on the idea of a computational system extending its knowledge about set methodical behaviors from the data that is fed to it to essentially develop analytical skills that can help
Mayank Pandey
doaj   +1 more source

Towards the five-loop Beta function for a general gauge group [PDF]

open access: yes, 2016
A bstractWe present analytical results for the Nf4 and Nf3 terms of the five-loop Beta function, for a general gauge group. While the former term agrees with results available from large-Nf studies, the latter is new and extends the value known for SU(3)
T. Luthe   +3 more
semanticscholar   +1 more source

New fractional integral inequalities via Euler's beta function

open access: yesOpen Mathematics, 2023
In this article, we present new fractional integral inequalities via Euler’s beta function in terms of ss-convex mappings. We develop some new generalizations of fractional trapezoid- and midpoint-type inequalities using the class of differentiable ss ...
Almutairi Ohud Bulayhan
doaj   +1 more source

The Logarithmic Transform of a Polynomial Function Expressed in Terms of the Lerch Function

open access: yesMathematics, 2021
This is a collection of definite integrals involving the logarithmic and polynomial functions in terms of special functions and fundamental constants. All the results in this work are new.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

A More Accurate Half-Discrete Multidimensional Hilbert-Type Inequality Involving One Multiple Upper Limit Function

open access: yesAxioms, 2023
By means of the weight functions, the idea of introduced parameters, using the transfer formula and Hermite–Hadamard’s inequality, a more accurate half-discrete multidimensional Hilbert-type inequality with the homogeneous kernel as 1(x+||k−ξ||α)λ(x,λ>0)
Yong Hong, Yanru Zhong, Bicheng Yang
doaj   +1 more source

Beta function of k deformed AdS5 × S5 string theory [PDF]

open access: yes, 2015
A bstractWe calculate the one loop beta function for the would-be marginal coupling on the world sheet of the k deformed sigma models associated to a quantum group with q = eiπ/k.
Calan Appadu, T. Hollowood
semanticscholar   +1 more source

Four-loop strong coupling beta-function in the Standard Model [PDF]

open access: yes, 2015
In this letter we present our results for the four-loop beta-function of the strong coupling in the Standard Model of fundamental interactions. The expression is obtained from gluon self-energy diagrams in the background field gauge without application ...
A. Bednyakov, A. Pikelner
semanticscholar   +1 more source

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