Analytic Continuation of Resolvents of Elliptic Operators in a Multidimensional Cylinder
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DOI: 10.1007/s10958-020-05014-6
Abstract: We consider the scalar second order elliptic differential operator in a multidimensional cylinder with the Dirichlet boundary condition. The coefficients of the operator are periodic on both outlets of the cylinder and are arbitrary in… read more here.
Keywords: analytic continuation; resolvents elliptic; continuation resolvents; multidimensional cylinder ... See more keywords
Neural Network Analytic Continuation for Monte Carlo: Improvement by Statistical Errors
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DOI: 10.1088/1674-1056/accd4c
Abstract: This study explores the use of neural network-based analytic continuation to extract spectra from Monte Carlo data. We apply this technique to both synthetic and Monte Carlo-generated data. The training sets for neural networks are… read more here.
Keywords: neural network; analytic continuation; monte; monte carlo ... See more keywords
Operator-valued zeta functions and Fourier analysis
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab25fa
Abstract: The Riemann zeta function $\zeta(s)$ is defined as the infinite sum $\sum_{n=1}^\infty n^{-s}$, which converges when ${\rm Re}\,s>1$. The Riemann hypothesis asserts that the nontrivial zeros of $\zeta(s)$ lie on the line ${\rm Re}\,s= \frac{1}{2}$.… read more here.
Keywords: valued zeta; zeta functions; analytic continuation; operator valued ... See more keywords
Shape resonances of Be− and Mg− investigated with the method of analytic continuation
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DOI: 10.1103/physreva.97.052704
Abstract: The regularized method of analytic continuation is used to study the low-energy negative ion states of beryllium (configuration 2$s^2\varepsilon p\; ^2P$) and magnesium (configuration 3$s^2\varepsilon p\; ^2P$) atoms. The method applies an additional perturbation potential… read more here.
Keywords: analytic continuation; method analytic; continuation; resonances investigated ... See more keywords
Analytic continuation and physical content of the gluon propagator
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DOI: 10.1103/physrevd.107.096001
Abstract: The analytic continuation of the gluon propagator is revised in the light of recent findings on the possible existence of complex conjugated poles. The contribution of the anomalous pole must be added when Wick rotating,… read more here.
Keywords: continuation physical; propagator; gluon propagator; analytic continuation ... See more keywords
Parameter-free differential evolution algorithm for the analytic continuation of imaginary time correlation functions.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.025312
Abstract: We report on differential evolution for analytic continuation: a parameter-free evolutionary algorithm to generate the dynamic structure factor from imaginary time correlation functions. Our approach to this long-standing problem in quantum many-body physics achieves enhanced… read more here.
Keywords: parameter free; correlation functions; imaginary time; analytic continuation ... See more keywords
Artificial Neural Network Approach to the Analytic Continuation Problem.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.124.056401
Abstract: Inverse problems are encountered in many domains of physics, with analytic continuation of the imaginary Green's function into the real frequency domain being a particularly important example. However, the analytic continuation problem is ill defined… read more here.
Keywords: approach; neural network; continuation problem; analytic continuation ... See more keywords
Comment to the CPT-symmetic Universe: Two possible extensions
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DOI: 10.1134/s0021364019100023
Abstract: In Ref.1 (L. Boyle, K. Finn and N. Turok, CPT-Symmetric Universe, Phys. Rev. Lett. {\bf 121}, 251301 (2018)) the antispacetime Universe was suggested as the analytic continuation of our Universe across the Big Bang singularity… read more here.
Keywords: cpt symmetic; comment cpt; big bang; analytic continuation ... See more keywords