Results 1 to 10 of about 198,877 (319)

Nevanlinna Analytical Continuation [PDF]

Physical Review Letters, 2021
Simulations of finite temperature quantum systems provide imaginary frequency Green's functions that correspond one-to-one to experimentally measurable real-frequency spectral functions. However, due to the bad conditioning of the continuation transform from imaginary to real frequencies, established methods tend to either wash out spectral features at
Jiani Fei, Chia-Nan Yeh, Emanuel Gull
openalex   +5 more sources

Real-space diffusion theory from quantum mechanics using analytic continuation [PDF]

Heliyon
We show that a physical correspondence between Brownian motion and quantum mechanics can be established by formal analytic continuation if Wick rotation (t→it) is replaced by the mirror symmetric, complex conjugate time transformation t→±it.
Leonardo Di G. Sigalotti, Otto Rendón, José-Rubén Luévano   +2 more
doaj   +2 more sources

Analytic continuation and the giant graviton expansion [PDF]

Journal of High Energy Physics
There is now strong evidence that the superconformal index of holographic gauge theories admits a giant graviton expansion capturing the worldvolume dynamics of spherical D3-branes moving in internal space. While the giant graviton indices may be written
Nizar Ezroura, James T. Liu, Neville Joshua Rajappa   +2 more
doaj   +2 more sources

Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms [PDF]

Épijournal de Géométrie Algébrique
We study the relationship between solutions to better-behaved GKZ hypergeometric systems near different large radius limit points, and their geometric counterparts given by the $K$-groups of the associated toric Deligne-Mumford stacks. We prove that the $
Zengrui Han
doaj   +3 more sources

Summability and analytic continuation [PDF]

Proceedings of the American Mathematical Society, 1950
V. F. Cowling
openalex   +2 more sources

The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation

Journal of Nigerian Society of Physical Sciences, 2022
The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch, Adejimi A. Adeniji, Lukman O. Salaudeen   +2 more
doaj   +1 more source

Exact quantization and analytic continuation

Journal of High Energy Physics, 2023
In this paper we give a streamlined derivation of the exact quantization condition (EQC) on the quantum periods of the Schrödinger problem in one dimension with a general polynomial potential, based on Wronskian relations.
Barak Gabai, Xi Yin
doaj   +1 more source

The inverse Mellin transform via analytic continuation

Journal of High Energy Physics, 2023
We present a method to calculate the x-space expressions of massless or massive operator matrix elements in QCD and QED containing local composite operator insertions, depending on the discrete Mellin index N, directly, without computing the Mellin-space
A. Behring, J. Blümlein, K. Schönwald
doaj   +1 more source

Analytic continuation of harmonic sums: Dispersion representation

Nuclear Physics B, 2022
We present a simple representation for analytically continued nested harmonic sums for the arbitrary complex arguments. This representation can be obtained for a wide range of nested harmonic sums from a precomputed database for the pole expressions of ...
V.N. Velizhanin
doaj   +1 more source

Confinement as analytic continuation beyond infinite coupling

Physical Review Research, 2020
We propose a mechanism for confinement: analytic continuation beyond infinite coupling in the space of the coupling constant. The analytic continuation is realized by renormalization group flows from the weak to the strong coupling regime. We demonstrate
Masahito Yamazaki, Kazuya Yonekura
doaj   +1 more source