Nonperturbative Quantum Field Theory on the Lattice
T. DeGrand (U. of Colorado)
TL;DR
This paper introduces lattice methods for nonperturbative quantum field theory analysis, focusing on Quantum Chromodynamics, covering gauge fields, duality, hadron spectroscopy, and specific case studies like glueball mass and strong coupling constant.
Contribution
It provides an accessible introduction to lattice techniques for nonperturbative QFT, including practical methods and case studies not extensively covered before.
Findings
Results on hadron spectroscopy
Glueball mass estimation
Determination of α_s(M_Z)
Abstract
These lectures provide an introduction to lattice methods for nonperturbative studies of quantum field theories, with an emphasis on Quantum Chromodynamics. Lecture 1 (Ch. 2): gauge field basics Lecture 2 (Ch. 3): Abelian duality with a lattice regulator (Ch. 4): simple lattice intuition Lecture 3 (Ch. 5): standard methods (and results) for hadron spectroscopy Lecture 4 (Ch. 6): bare actions and physics Lecture 5 (Ch. 7): two case studies, mass of the glueball and
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Stochastic processes and statistical mechanics