1-8 July 2022
Virtual Conference
Africa/Johannesburg timezone
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An Introduction to Lattice QCD: The Metropolis Algorithm and the Anharmonic Oscillator

4 Jul 2022, 12:45
15m
Zoom Platform (Virtual Conference)

Zoom Platform

Virtual Conference

Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics

Speaker

Mr Blessed Arthur Ngwenya (University of Cape Town)

Description

We provide a broad introduction to lattice QCD, which is a non-perturbative technique used to study strongly coupled QCD. Lattice QCD is a regularisation of QCD, where Euclidean space-time is discretised on a hypercubic lattice with spacing $a$, and the quark fields are placed on sites while gauge fields are placed on the links between these sites, then their interactions are simulated in thermal equilibrium. Lattice calculations require some basic input parameters, and in order to obtain physical results, one has to take the continuum and infinite volume limits. We employ the Markov Chain Monte Carlo (Metropolis) algorithm and present results of the following quantities for the anharmonic oscillator with various quartic couplings; acceptance rates, equilibration times, ground state probability densities compared to Schrodinger solutions, ground state energies and the energy differences of various excited states.

Level for award;(Hons, MSc, PhD, N/A)?

PhD

Apply to be considered for a student ; award (Yes / No)? Yes

Primary authors

Mr Blessed Arthur Ngwenya (University of Cape Town) William Horowitz (University of Cape Town) Prof. Alexander Rothkopf (University of Stavanger)

Presentation Materials

Peer reviewing

Paper