Numerical Simulations in Particle Physics

Abstract

Numerical simulations have become an important tool to understand and predict non-perturbative phenomena in particle physics. In this article we attempt to present a general overview over the field. First, the basic concepts of lattice gauge theories are described, including a discussion of currently used algorithms and the reconstruction of continuum physics from lattice results. We then proceed to present some results for QCD, both at low energies and at high temperatures, as well as for the electro-weak sector of the standard model.

62 pages, TeX file, 15 figures (not included, upon request), includes macnum.tex, preprint.sty (IOP style), BI-TP 93/10, HLRZ-93-25

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• Towards the Theory of Cosmological Phase Transitions
• Scaling and Asymptotic Scaling in the SU(2) Gauge Theory
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• The Running Coupling from SU(3) Lattice Gauge Theory
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• The Running Coupling from Lattice Gauge Theory
• Monopole Percolation and The Universality Class of the Chiral Transition in Four Flavor Noncompact Lattice QED
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• The Universlity Class of Monopole Condensation in Non-Compact, Quenched Lattice QED
• Lattice QCD Spectroscopy with an Improved Wilson Fermion Action
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• Hadron Spectroscopy with Dynamical Wilson Fermions at beta=5.3
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• Pre-equilibrium evolution of quark-gluon plasma
• Fermion production in time-dependent fields
• Phase Space Description of the Leading Order Quark and Gluon Production from a Space-Time Dependent Chromofield
• Dilepton Enhancement by Thermal Pion Annihilation in the CERES Experiment
• Multi-Species Prey-Predator Dynamics During a Multi-Strain Pandemic
• Partonic Scattering Cross Sections in the QCD Medium
• Dilepton emission from an equlibrating non-abelian plasma
• Computer simulations combined with experiments for calculus-based physics laboratory course
• Bottom and Charm Production at LHC and RHIC
• Evaporation and Condensation of Clusters
• QCD chiral symmetry restoration with a large number of quarks in a model with a confining propagator and dynamically massive gluons