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Lattice methods for students at a formal TASI

2019/07/05 by Thomas DeGrand, DeGrand, Thomas
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.1907.02988

49 pages, 18 figures, lectures at Tasi 2019

arxiv created 2019/07/05 · arxiv updated 2019/07/09

Abstract

These lectures about lattice field theory were written for, and given at, TASI 2019, ``The many dimensions of quantum field theory.'' The students at this TASI were mostly interested in formal things, and so these are slightly unusual lattice lectures: I wanted to give the physical motivation behind lattice calculations rather than describe all the technical details. A quick outline: (1) The really big picture: lattice basics, lattice confinement, getting rid of the lattice. (2) A walk through the parts of a lattice calculation -- an overview, to show what's involved. (3) Chiral fermions on the lattice. (This part might be interesting to lattice people.) (4) Case studies: the three dimensional Ising model, and QCD.

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