Results 11 to 20 of about 65 (56)
On perturbative scattering amplitudes in maximally supersymmetric theories [PDF]
, 2011 PhDThere has been substantial calculational progress in the last few years in maximally supersymmetric theories, revealing unexpected simplicity, new structures and symmetries. In this thesis, after reviewing some of the recent advances in N = 4 super
Katsaroumpas, Panagiotis
core +4 more sources
M0, 5: Toward the Chabauty–Kim method in higher dimensions
Mathematika, Volume 69, Issue 4, Page 1011-1059, October 2023., 2023 Abstract If Z is an open subscheme of SpecZ$\operatorname{Spec}\mathbb {Z}$, X is a sufficiently nice Z‐model of a smooth curve over Q$\mathbb {Q}$, and p is a closed point of Z, the Chabauty–Kim method leads to the construction of locally analytic functions on X(Zp)$X({\mathbb {Z}_p})$ which vanish on X(Z)$X(Z)$; we call such functions “Kim functions”.
Ishai Dan‐Cohen, David Jarossay
wiley +1 more source
Dispersion braiding and band knots in plasmonic arrays with broken symmetries
Nanophotonics, Volume 12, Issue 14, Page 2963-2971, July 2023., 2023 Abstract Periodic arrays can support highly nontrivial modal dispersion, stemming from the interplay between localized resonances of the array elements and distributed resonances supported by the lattice. Recently, intentional defects in the periodicity, i.e., broken in situ symmetries, have been attracting significant attention as a powerful degree of
Shixiong Yin, Andrea Alù
wiley +1 more source
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Following earlier work by Gangl, Cathelineaue, and others, Siddiqui defined the Siegel’s cross‐ratio identity and Goncharov’s triple ratios over the truncated polynomial ring Fεν. They used these constructions to introduce both dialogarithmic and trilogarithmic tangential complexes of first order.
Sadaqat Hussain +5 more
wiley +1 more source
A Double Integral Containing the Fresnel Integral Function S(x): Derivation and Computation
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 A two‐dimensional integral containing S(x) is derived. S(x) is the Fresnel integral function, and the double integral is taken over the range 0 < x < ∞ and 0 < y < ∞. A representation in terms of the Hurwitz–Lerch zeta function is derived, from which other special function representations can be evaluated. All the results in this work are new.
Robert Reynolds +2 more
wiley +1 more source
A New Family of Degenerate Poly‐Genocchi Polynomials with Its Certain Properties
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly‐Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these polynomials systematically.
Waseem A. Khan +4 more
wiley +1 more source
Novel approaches to perturbative scattering amplitudes in gauge theory and gravity [PDF]
, 2009 PhDScattering amplitudes of massless quanta play a crucial role in the calculation of cross sections for multi-jet production at hadron colliders. The framework provided by perturbative quantum field theory, based on Feynman diagrams, does not capture ...
Nasti, Adele
core +4 more sources
Construction of Type 2 Poly‐Changhee Polynomials and Its Applications
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce type 2 poly‐Changhee polynomials by using the polyexponential function. We derive some explicit expressions and identities for these polynomials, and we also prove some relationships between poly‐Changhee polynomials and Stirling numbers of the first and second kind.
Ghulam Muhiuddin +3 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2021, Issue 1, 2021., 2021 Asymptotic approximations of Tangent polynomials, Tangent‐Bernoulli, and Tangent‐Genocchi polynomials are derived using saddle point method and the approximations are expressed in terms of hyperbolic functions. For each polynomial there are two approximations derived with one having enlarged region of validity.
Cristina B. Corcino +3 more
wiley +1 more source
High Risk, Low Reward: A Challenge to the Astronomical Value of Existential Risk Mitigation
, 2023 Philosophy &Public Affairs, Volume 51, Issue 4, Page 373-412, Fall 2023.
David Thorstad
wiley +1 more source