Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYM
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2022)056
Abstract: Extending earlier work, we find the two-loop term in the beta-function for the scalar coupling ζ in a generalized Wilson loop operator of the N $$ \mathcal{N} $$ = 4 SYM theory, working in the… read more here.
Keywords: beta function; wilson loop; loop; wilson ... See more keywords
The five-loop beta function of Yang-Mills theory with fermions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep02(2017)090
Abstract: 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… read more here.
Keywords: beta function; loop beta; five loop; yang mills ... See more keywords
Beta-function formalism for k-essence constant-roll inflation
Sign Up to like & getrecommendations! Published in 2020 at "Physics of the Dark Universe"
DOI: 10.1016/j.dark.2020.100505
Abstract: The beta function formalism is being used to study the constant-roll inflation in the k-essence model. Assuming the second slow-roll parameter as a constant leads to a first-order differential equation for $\beta$-function which is much… read more here.
Keywords: roll; constant roll; beta function; roll inflation ... See more keywords
Contractive inequalities for mixed norm spaces and the Beta function
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125938
Abstract: For a wide range of pairs of mixed norm spaces such that one space is contained in another, we characterize all cases when contractive norm inequalities hold. In particular, this yields such results for many… read more here.
Keywords: beta function; mixed norm; spaces beta; norm spaces ... See more keywords
Implications of extra dimensions on the effective charge and the beta function in quantum electrodynamics
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.101.035034
Abstract: A comprehensive analysis on the photon self-energy, the fermion self-energy, and the fermion vertex function is presented at one loop in the context of quantum electrodynamics (QED) with 1 extra dimension. In 5-dimensional theories, characterized… read more here.
Keywords: electrodynamics; beta function; quantum electrodynamics; extra dimensions ... See more keywords
Gauge-invariant approach to the beta function in Yang-Mills theories with universal extra dimensions
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.101.095038
Abstract: Asymptotic freedom is comprehensively studied in the context of universal extra dimensions. The use of a ${\rm SU}(N)$-covariant gauge-fixing procedure to quantize the theory is stressed. One-loop contributions of Kaluza-Klein (KK) excitations are characterized by… read more here.
Keywords: beta function; yang mills; function; universal extra ... See more keywords
Towards the QED beta function and renormalons at 1/Nf2 and 1/Nf3
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.102.035005
Abstract: We determine the 1=N2 f and 1=N3 f contributions to the QED beta function stemming from the closed set of nested diagrams. At the order of 1=N2 f, we discover a new logarithmic branch cut… read more here.
Keywords: function; beta function; function renormalons; qed beta ... See more keywords
Gravitational corrections to two-loop beta function in quantum electrodynamics
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.104.125001
Abstract: In this work, we use the framework of effective field theory to couple Einstein’s gravity to quantum electrodynamics (QED) and determine the gravitational corrections to the two-loop beta function of the electric charge in arbitrary… read more here.
Keywords: electronic address; electrodynamics; gravitational corrections; beta function ... See more keywords
Monkeypox detection from skin lesion images using an amalgamation of CNN models aided with Beta function-based normalization scheme
Sign Up to like & getrecommendations! Published in 2023 at "PLOS ONE"
DOI: 10.1371/journal.pone.0281815
Abstract: We have recently been witnessing that our society is starting to heal from the impacts of COVID-19. The economic, social and cultural impacts of a pandemic cannot be ignored and we should be properly equipped… read more here.
Keywords: function based; skin lesion; lesion images; beta function ... See more keywords
Sums Involving the Digamma Function Connected to the Incomplete Beta Function and the Bessel functions
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DOI: 10.3390/math11081937
Abstract: We calculate some infinite sums containing the digamma function in closed form. These sums are related either to the incomplete beta function or to the Bessel functions. The calculations yield interesting new results as by-products,… read more here.
Keywords: function; function bessel; incomplete beta; beta function ... See more keywords
Certain Integral Formulae Associated with the Product of Generalized Hypergeometric Series and Several Elementary Functions Derived from Formulas for the Beta Function
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14020389
Abstract: The literature has an astonishingly large number of integral formulae involving a range of special functions. In this paper, by using three Beta function formulae, we aim to establish three integral formulas whose integrands are… read more here.
Keywords: integral formulae; formulae; hypergeometric series; generalized hypergeometric ... See more keywords