Talk:Lattice gauge theory

Does lattice gauge theory have anything (perhaps a lot!) nontrivial to do with spin foams in QG? Is the spin foam approach to QG a lattice gauge theory? Thank-you! (Wed, June 8th, 2005). :-)


 * Not really. Lattice gauge theory uses the lattice as a regulator, but takes the size of the lattice to zero. It's purely a matter of calculational convenience. Spin foams, tho they do regulate your theory by setting a smallest unit of area, are supposed to be real physical entities. Also, spin foams are arbitrarily-connected graphs rather than regular lattices. -- Xerxes 21:31, 2005 Jun 8 (UTC)

merge suggested
OK, I really suggest merging Lattice field theory and this one in some sensible way, then perhaps renaming the whole "lattice field theory" as that is more generic. Otherwise you don't know what to link to from other articles. If, however, there really is something more specific to "lattice gauge theories" that cannot be covered in the main article, then a new article can be started. But I am really doubtful; the distinction between "lattice theories with pure gauge actions" and "lattice theories with fermions/particles in it" doesn't seem to warrant having separate articles, which would largely anyway just repeat each other. 131.111.8.96 22:39, 19 September 2006 (UTC)


 * Sounds sensible. -David Schaich Talk/Cont 22:27, 18 November 2006 (UTC)

The statement that fermions are "only defined at the elements of the lattice" is misleading and incorrect. In the naive wilson action this is true, and as a result fermion doubling is a huge problem. So some solutions are to split the fermions amongst many links, which can reduce the doubling. Another solution is to introduce a 5th dimension, along with a dilaton field with an unusual action that tends to cause the two chiralities of the fermion to split. that is stuck on the either 4D side of the 5D cube is a chirality of the fermion. This technique is called domain wall fermions. And there are many others. Is anyone working on this article involved in Lattice QCD? (Travis Miller http://xxx.lanl.gov/find/grp_physics/1/au:+Miller_Travis/0/1/0/all/0/1). —Preceding unsigned comment added by 67.218.107.114 (talk) 17:58, 17 June 2009 (UTC)
 * I agree with the merger proposal, it seems much more useful to the reader. There is no point in describing twice the same stuff. The articles are both very short. If, in the future, someone will decide to elaborate further on lattice gauge theories, Symanzik improved action etc., then we can rethink the merge issue. As it is, the reader will profit from a merged article. Setreset (talk) 10:23, 24 October 2010 (UTC)

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