SO YOU WANT TO BE A LATTICE THEORIST? Page: 3 of 8
This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided to Digital Library by the UNT Libraries Government Documents Department.
The following text was automatically extracted from the image on this page using optical character recognition software:
FIGURE 1. Lattices abound in the real world. Here is lattice of daisies.
So you want to be a lattice theorist?
Physics Department, Brookhaven National Laboratory, Upton, NY 11973, USA
Abstract. For this after dinner talk I intersperse images of real lattices with a discussion of the
motivations for lattice gauge theory and some current unresolved issues.
Keywords: lattice gauge theory
Although lattices are frequently seen in the real world, as in Figure 1, to the particle
theorist they are nothing but a mathematical trick. We constrain quarks so that rather
than following arbitrary world lines, they only move in discrete hops between lattice
sites. As they hop they get spun around in group space by the gauge fields, which are
restricted to the lattice bonds. It is a nice framework for exploring confinement, which
is related to this spinning; quarks act like kangaroos, strongly preferring to hop together
Since the vacuum is not a crystal, this seems at first sight a rather strange thing to
do. However, the lattice has several advantages, primarily in allowing calculations in
situations where other methods fail. In particular, one can go far beyond the realms of
perturbation theory or semi-classical methods. Furthermore, the predictions can have
Here’s what’s next.
This article can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Article.
CREUTZ, M. SO YOU WANT TO BE A LATTICE THEORIST?, article, September 2, 2006; [Upton, New York]. (digital.library.unt.edu/ark:/67531/metadc885344/m1/3/: accessed November 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.