Topological Obstruction in Block-spin Transformations

Details Topological Obstruction in Block-spin Transformations Topological Obstruction in Block-spin Transformations

2000-06-06

arxiv.org/abs/hep-lat/0006008v1

Phys.Lett. B488 (2000) 428-434

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, latex, no figures

Scientific paper

10.1016/S0370-2693(00)00920-5

Block-spin transformations from a fine lattice to a coarse one are shown to give rise to a one-to-one correspondence between the zero-modes of the Ginsparg-Wilson Dirac operators. The index is then preserved under the blocking process. Such a one-to-one correspondence is violated and the block-spin transformation becomes necessarily ill-defined when the absolute value of the index is larger than 2rN, where N is the number of the sites on the coarse lattice and r is the dimension of the gauge group representation of the fermion variables.

Affiliated with

Also associated with

No associations

Rating

Topological Obstruction in Block-spin Transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological Obstruction in Block-spin Transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Obstruction in Block-spin Transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-482423