Results 1 to 10 of about 121,182 (204)
On the monotonicity of the quotient of certain abelian integrals
International Journal of Mathematics and Mathematical Sciences, 1993 We prove that the quotient of abelian integrals associated to an elliptic surface is bounded and strictly increasing by first determining the Picard-Fuchs equation satisfied by the abelian integrals and the Riccati equation satisfied by the quotient of ...
Min Ho Lee
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European Physical Journal C: Particles and Fields, 2021 We compute the two-loop $$\beta $$ β -function of scalar and spinorial quantum electrodynamics as well as pure Yang–Mills and quantum chromodynamics using the background field method in a fully quadridimensional setup using implicit regularization (IREG).
A. Cherchiglia +4 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we consider the number of isolated zeros of Abelian integrals associated to the perturbed system $\dot{x}=y,\ \dot{y}=-x^3(x-1)^2+\varepsilon (\alpha+\beta x+ \gamma x^3)y$, where $\varepsilon >0$ is small and $\alpha,\,\beta,\,\gamma \in ...
Ali Atabaigi
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Journal of High Energy Physics, 2020 The full two-loop amplitudes for five massless states in Type II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of compact Riemann surfaces and integrals of Green functions and Abelian ...
Eric D’Hoker +3 more
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Nuclear Physics B, 2017 We propose a new approach to strong coupling series and dual representations for non-abelian lattice gauge theories using the SU(2) case as an example.
Christof Gattringer, Carlotta Marchis
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Abelian Groups of Fractional Operators
Computer Sciences & Mathematics Forum, 2022 Taking into count the large number of fractional operators that have been generated over the years, and considering that their number is unlikely to stop increasing at the time of writing this paper due to the recent boom of fractional calculus ...
Anthony Torres-Hernandez +2 more
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Elliptic modular graph forms. Part I. Identities and generating series
Journal of High Energy Physics, 2021 Elliptic modular graph functions and forms (eMGFs) are defined for arbitrary graphs as natural generalizations of modular graph functions and forms obtained by including the character of an Abelian group in their Kronecker-Eisenstein series. The simplest
Eric D’Hoker +2 more
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Journal of High Energy Physics, 2019 For a general N $$ \mathcal{N} $$ = 1 supersymmetric gauge theory regularized by higher covariant derivatives we prove in all orders that the β-function defined in terms of the bare couplings is given by integrals of double total derivatives with respect
K.V. Stepanyantz
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One-loop matrix elements of effective superstring interactions: α′-expanding loop integrands
Journal of High Energy Physics, 2021 In the low-energy effective action of string theories, non-abelian gauge interactions and supergravity are augmented by infinite towers of higher-mass-dimension operators.
Alex Edison +4 more
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Nuclear Physics B, 2017 We demonstrate that in non-Abelian N=1 supersymmetric gauge theories the NSVZ relation is valid for terms quartic in the Yukawa couplings independently of the subtraction scheme if the renormalization group functions are defined in terms of the bare ...
V.Yu. Shakhmanov, K.V. Stepanyantz
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