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Functional reduction of one-loop Feynman integrals with arbitrary masses
A method of functional reduction for the dimensionally regularized one-loop Feynman integrals with massive propagators is described in detail.
The...
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Generating Function of q- and Elliptic Multiple Polylogarithms of Hurwitz Type
Ohno and Zagier (Indag Math 12:483–487, 2001) found that a generating function of sums of multiple polylogarithms can be written in terms of the...
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Electrostatic Interaction of Bilayer Macroparticles
AbstractThe effect of a dielectric film on the surface of conducting dust particles on their electrostatic interaction is investigated. Special...
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GKZ-system of the 2-loop self energy with 4 propagators
Applying the system of linear partial differential equations derived from the Mellin–Barnes representation and the Miller transformation, we present...
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From positive geometries to a coaction on hypergeometric functions
It is well known that Feynman integrals in dimensional regularization often evaluate to functions of hypergeometric type. Inspired by a recent...
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On the Asymptotic Behavior of the Secular Perturbation Function in the Circular Restricted Three-Body Problem
AbstractThe asymptotic behavior of the secular perturbation function expanded in a power series in μ, the ratio of the semimajor axes of the massless...
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Analytic solutions to the fractional kinetic equation involving the generalized Mittag-Leffler function using the degenerate Laplace type integral approach
Recently, several fractional kinetic equations involving various special functions have been widely and usefully used in describing and solving...
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Quasinormal modes and strong cosmic censorship in the regularised 4D Einstein–Gauss–Bonnet gravity
The fate of strong cosmic censorship is ultimately linked to the extendibility of perturbation across the Cauchy Horizon and known to be violated in...
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Generalized Hypergeometric Solutions of the Heun Equation
We present infinitely many solutions of the general Heun equation in terms of generalized hypergeometric functions. Each solution assumes that two...
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Inflation correlators with multiple massive exchanges
The most general tree-level boundary correlation functions of quantum fields in inflationary spacetime involve multiple exchanges of massive states...
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Thermal one point functions, large d and interior geometry of black holes
We study thermal one point functions of massive scalars in AdS d +1 black holes. These are induced by coupling the scalar to either the Weyl tensor...
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The Klein–Gordon equation with a generalized Morse potential in D-dimensions
An approximate analytic solution of the Klein–Gordon equation with equal vector and scalar Morse potential for the arbitrary angular momentum values...
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Topological Recursion and Uncoupled BPS Structures II: Voros Symbols and the \(\tau \)-Function
We continue our study of the correspondence between BPS structures and topological recursion in the uncoupled case, this time from the viewpoint of...
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Feynman integrals as A-hypergeometric functions
We show that the Lee-Pomeransky parametric representation of Feynman integrals can be understood as a solution of a certain...
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On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry
We concentrate on a treatment of a Higgs-Coulomb duality as an absence of manifest phase transition between ordered and disordered phases of 2d
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A double copy from twisted (co)homology at genus one
We study the twisted (co)homology of a family of genus-one integrals — the so called Riemann-Wirtinger integrals. These integrals are closely related...
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On conformal blocks, crossing kernels and multi-variable hypergeometric functions
In this note, we present an alternative representation of the conformal block with external scalars in general spacetime dimensions in terms of a finite...
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Introduction and propagation properties of circular lorentz-bessel-gaussian beams
In this paper, circular Lorentz–Bessel–Gaussian beams (CLBGBs) are introduced as a novel member of the Lorentz-Gaussian beams family. The analytical...
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Ladder symmetries and Love numbers of Reissner-Nordström black holes
It is well known that asymptotically flat black holes in general relativity have vanishing tidal Love numbers. In the case of Schwarzschild and Kerr...