Final HWs have been graded and returned to mailboxes.
Thanks for a fun quarter, and have great summers!
Now that we've seen the arguments that the phi^4 theory in d=4
is trivial, I note that not everyone agrees. Indeed, there is
a new paper on the arXiv today
by John Klauder continuing his argument that a non-trivial
version of the theory can be constructed with an appropriate
unconventional counterterm. Anyone want to try and understand this
Welcome to the 578 website.
This course aims to provide both an introduction to
lattice field theory and a sampling of modern applications.
It is aimed particularly at students working in or interested in
particle and nuclear theory. It should also be accessible to any
interested student who has a basic grounding in Quantum Field Theory
(i.e. PHYS 570/571 or equivalent).
There is no required text. I will provide lecture notes, and
suggestions for extra reading.
The following are books that I think are good resources for the
material to be discussed.
"Introduction to Quantum Fields on a Lattice,"
(Cambridge Lecture Notes in Physics, 2002)
by Jan Smit. A concise and very clear set of notes from one of the
pioneers of the field.
"Quantum Chromodynamics on the Lattice,"
(Springer Lecture Notes in Physics, vol. 788, 2010)
by Christof Gattringer and Christian Lang.
A very thorough and accessible introduction, focused on lattice
"Lattice Methods for Quantum Chromodynamics,"
(World Scientific, 2006)
by Thomas DeGrand and Carleton DeTar.
Another very thorough and accessible introduction, focused on lattice
"Lattice Gauge Theories: An Introduction,"
(World Scientific Lecture Notes in Physics, Vol. 82;
4th Ed. 2012)
by Heinz J. Rothe.
An expansive and thorough introduction that has been kept up to
"Quantum Fields on a Lattice,"
(Cambridge Monographs on Mathematical Physics, 1997)
by Istvan Montvay and Gernot Munster.
Excellent introductory material, not shying away from technical points.
Later sections are getting dated.
"Introduction to Lattice Fields Theory,"
(Proceedings on 1993 INT Summer School, World Scientific)
by Stephen Sharpe.
Introductory lectures, later sections somewhat dated,
available in PDF
This is a credit/no credit class. There will be homework sets
due roughly every two weeks. I am open to suggestions for replacing
some homeworks with a project. Passing will require reasonable
performance on HWs and class participation.