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Statistical and computational intelligence approach to analytic continuation in Quantum Monte Carlo
Advances in Physics: X, 2017 The term analytic continuation emerges in many branches of Mathematics, Physics, and, more generally, applied Science. Generally speaking, in many situations, given some amount of information that could arise from experimental or numerical measurements ...
Gianluca Bertaina +2 more
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The QCD phase diagram from analytic continuation
Physics Letters B, 2015 We present the crossover line between the quark gluon plasma and the hadron gas phases for small real chemical potentials. First we determine the effect of imaginary values of the chemical potential on the transition temperature using lattice QCD ...
R. Bellwied +6 more
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`Analytic Continuation' of N=2 Minimal Model [PDF]
, 2013 In this paper we discuss what theory should be identified as the `analytic continuation' with $N \rightarrow -N$ of the ${\cal N}=2$ minimal model with the central charge $\hat{c} = 1 - \frac{2}{N}$.
Sugawara, Yuji
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A GPU code for analytic continuation through a sampling method
SoftwareX, 2016 We here present a code for performing analytic continuation of fermionic Green’s functions and self-energies as well as bosonic susceptibilities on a graphics processing unit (GPU). The code is based on the sampling method introduced by Mishchenko et al.
Johan Nordström +3 more
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Analytic continuation and perturbative expansions in QCD [PDF]
, 2001 Starting from the divergence pattern of perturbative quantum chromodynamics, we propose a novel, non-power series replacing the standard expansion in powers of the renormalized coupling constant $a$.
Caprini, Irinel, Fischer, Jan
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Analytic continuation of dimensions in supersymmetric localization
Journal of High Energy Physics, 2018 We compute the perturbative partition functions for gauge theories with eight supersymmetries on spheres of dimension d ≤ 5, proving a conjecture by the second author. We apply similar methods to gauge theories with four supersymmetries on spheres with d
Anastasios Gorantis +2 more
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The Lerch Zeta Function II. Analytic Continuation [PDF]
, 2010 This is the second of four papers that study algebraic and analytic structures associated with the Lerch zeta function. In this paper we analytically continue it as a function of three complex variables.
Apostol T. M. +7 more
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An analytic continuation of random analytic functions (in Ukrainian) [PDF]
Математичні Студії, 2011 Let $(eta_n(omega))$ be a sequence of independent randomvariables such that $eta_n(omega)$ takes the values $-1$ and$1$ with the probabilities $p_n$ and $1-p_n$, respectively. Put$q_n=min{p_n,1-p_n}$.
P. V. Filevych
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Inclusive B decay calculations with analytic continuation
EPJ Web of Conferences, 2018 First-principle lattice calculation of inclusive B meson semileptonic decays is possible for a certain class of moments that is connected to the structure function at unphysical kinematics by analytic continuation.
Hashimoto Shoji +4 more
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Operator-valued zeta functions and Fourier analysis [PDF]
, 2019 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 ${\rm Re}\,s= \frac{1}{2}$. Thus,
Bender, Carl M., Brody, Dorje C
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