Essays about: "analytic continuation"

Showing result 1 - 5 of 6 essays containing the words analytic continuation.

  1. 1. Quantum structure of holographic black holes

    University essay from KTH/Fysik

    Author : Elias Riedel Gårding; [2020]
    Keywords : BTZ spacetime; black hole; wormhole; AdS CFT; holographic renormalisation; analytic continuation; Bogolyubov transformation; QFT in curved spacetime; BTZ-rumtid; svart hål; maskhål; AdS CFT; holografisk renormering; analytisk fortsättning; Bogolyubov-transformation; kvanfältsteori i krökt rumtid;

    Abstract : We study a free quantum scalar field in the BTZ spacetime as a model of the AdS/CFT correspondence for black holes, and show the essential steps in computing Bogolyubov coefficients between modes on either side of the wormhole. As background, we review the BTZ geometry in standard, Kruskal and Poincaré coordinates, holographic renormalisation of the dual field theory and canonical quantisation in curved spacetime. READ MORE

  3. 2. Helicity amplitudes for the transition from the spin-3/2 Sigma to the Lambda hyperon

    University essay from Uppsala universitet/Kärnfysik

    Author : Olov Junker; [2020]
    Keywords : hyperons; helicity amplitudes; dispersion theory; chiral perturbation theory;

    Abstract : The helicity amplitudes of the scattering reaction Sigma* bar Lambda -> pi+ pi- at energies below 1 GeV are calculated. They are part of a project of determining the low energy Sigma* to Lambda transition form factors using dispersion theory. The helicity amplitudes require the Feynman amplitudes of Sigma* bar Lambda -> pi+ pi- as input. READ MORE

  4. 3. Electromagnetic form factors of the Sigma*-Lambda transition

    University essay from Uppsala universitet/Kärnfysik

    Author : Timea Vitos; [2019]
    Keywords : hyperon form factors; dispersion relations; anomalous cuts;

    Abstract : We introduce and examine the analytic properties of the three electromagnetic transition form factors of the Sigma*-Lambda hyperon transition. In the first part of the thesis, we discuss the interaction Lagrangian for the hyperons at hand. READ MORE

  5. 4. An Introduction to Dirichlet Series

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Eda Dagasan; [2018]
    Keywords : Mathematics; Dirichlet Series; Riemann Zeta Function; Complex Analysis; Bohr s Theorem; Mathematics and Statistics;

    Abstract : We establish the central convergence properties of ordinary Dirichlet series, including the classical result by Bohr, providing uniform convergence of the series where it has a bounded analytic continuation. We also derive a lower bound for the supremum of Dirichlet polynomials using Kronecker's theorem, of which we see one proof. READ MORE

  6. 5. On the Asymptotic Behaviour of Sums of Two Squares : Theoretical and Numerical Studies of the Counting Function B(x)

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Ivar Eriksson; Lukas Gustafsson; [2018]
    Keywords : ;

    Abstract : Studying the distributions of special numbers is a fundamental area of research in number theory. This paper studies the distribution of sums of two squares using analytic number theory. The asymptotic behaviour of the corresponding counting function, B(x), is the object of study. READ MORE