Taming the Leibniz Rule on the Lattice

Details Taming the Leibniz Rule on the Lattice Taming the Leibniz Rule on the Lattice

2008-03-21

arxiv.org/abs/0803.3121v3

JHEP0805:057,2008

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages

Scientific paper

10.1088/1126-6708/2008/05/057

We study a product rule and a difference operator equipped with Leibniz rule in a general framework of lattice field theory. It is shown that the difference operator can be determined by the product rule and some initial data through the Leibniz rule. This observation leads to a no-go theorem that it is impossible to construct any difference operator and product rule on a lattice with the properties of (i) translation invariance, (ii) locality and (iii) Leibniz rule. We present a formalism to overcome the difficulty by an infinite flavor extension or a matrix expression of a lattice field theory.

Affiliated with

Also associated with

No associations

Rating

Taming the Leibniz Rule 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 Taming the Leibniz Rule on the Lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Taming the Leibniz Rule on the Lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-587134