Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-10-20
PoS LATTICE2008:230,2008
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages; talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19 2008, Williamsburg, Virginia,
Scientific paper
We introduce a lattice symmetry relation for field theories with general linear symmetries. For chiral symmetry the well-known Ginsparg-Wilson relation is reproduced. The new relation encodes the remnant of the original symmetry on the lattice and guides the construction of invariant lattice actions. We apply this approach to lattice supersymmetry. There, an additional constraint has to be satisfied which originates in the derivative operator in the symmetry transformations. As a consequence the non-local SLAC derivative operator appears in the lattice transformation. Despite this non-local form we show how local solutions for quadratic actions can be found. For interacting theories the relation in general leads to a non-polynomial action that can be reduced to a finite polynomial order only under certain conditions.
Bergner Georg
Bruckmann Falk
Pawlowski Jan M.
No associations
LandOfFree
Generalisations of the Ginsparg-Wilson relation and a remnant of supersymmetry on the lattice 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 Generalisations of the Ginsparg-Wilson relation and a remnant of supersymmetry on the lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalisations of the Ginsparg-Wilson relation and a remnant of supersymmetry on the lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-265809