Results 11 to 20 of about 2,072 (306)
Numerical conformal bootstrap with analytic functionals and outer approximation [PDF]
Journal of High Energy PhysicsThis paper explores the numerical conformal bootstrap in general spacetime dimensions through the lens of a distinct category of analytic functionals, previously employed in two-dimensional studies.
Kausik Ghosh, Zechuan Zheng
doaj +5 more sources
Cut-touching linear functionals in the conformal bootstrap [PDF]
Journal of High Energy Physics, 2017 The modern conformal bootstrap program often employs the method of linear functionals to derive the numerical or analytical bounds on the CFT data. These functionals must have a crucial “swapping” property, allowing to swap infinite summation with the ...
Jiaxin Qiao, Slava Rychkov
doaj +2 more sources
Generalized Analytic Fourier-Feynman Transform of Functionals in a Banach Algebra ℱA1,A2a,b [PDF]
Journal of Function Spaces and Applications, 2013 We introduce the Fresnel type class ℱA1,A2a,b. We also establish the existence of the generalized analytic Fourier-Feynman transform for functionals in the Banach algebra ℱA1,A2a,b.
Jae Gil Choi +2 more
doaj +2 more sources
A Modified Analytic Function Space Feynman Integral and Its Applications [PDF]
Journal of Function Spaces, 2014 We analyze the generalized analytic function space Feynman integral and then defined a modified generalized analytic function space Feynman integral to explain the physical circumstances.
Seung Jun Chang +2 more
doaj +2 more sources
Simple and practical DIQKD security analysis via BB84-type uncertainty relations and Pauli correlation constraints [PDF]
Quantum, 2022 According to the entropy accumulation theorem, proving the unconditional security of a device-independent quantum key distribution protocol reduces to deriving tradeoff functions, i.e., bounds on the single-round von Neumann entropy of the raw key as a ...
Michele Masini +2 more
doaj +1 more source
Dispersion relations and exact bounds on CFT correlators
Journal of High Energy Physics, 2021 We derive new crossing-symmetric dispersion formulae for CFT correlators restricted to the line. The formulae are equivalent to the sum rules implied by what we call master functionals, which are analytic extremal functionals which act on the crossing ...
Miguel F. Paulos
doaj +1 more source
Comptes Rendus. Mathématique, 2021 In this paper we consider two functionals of the Fekete–Szegö type: $\Phi _f(\mu ) = a_2 a_4-\mu a_3{}^2$ and $\Theta _f(\mu ) = a_4-\mu a_2a_3$ for analytic functions $f(z) = z+a_2z^2+a_3z^3+\ldots $, $z\in \Delta $, ($\Delta = \lbrace z\in \mathbb{C ...
Zaprawa, Paweł
doaj +1 more source
Functional Dependence and Analytic Functions [PDF]
Canadian Mathematical Bulletin, 1979 AbstractWithout appealing to the Cauchy theorem or its corollaries, it is proved that the real and imaginary parts of a non-constant complex-valued analytic function of several complex variables are functionally independent. This unifies and generalizes some results sporadically treated in standard treatises on function theory.
openaire +2 more sources
Quantum Optimal Control via Semi-Automatic Differentiation [PDF]
Quantum, 2022 We develop a framework of "semi-automatic differentiation" that combines existing gradient-based methods of quantum optimal control with automatic differentiation.
Michael H. Goerz +2 more
doaj +1 more source
Continuity of coordinate functionals of filter bases in Banach spaces [PDF]
, 2023 International audienceWe prove that the coordinate functionals associated with filter bases in Banach spaces are continuous as long as the underlying filter is analytic.
Jarosław Swaczyna +5 more
core +1 more source