Dual Computations of Non-abelian Yang-Mills on the Lattice

Details Dual Computations of Non-abelian Yang-Mills on the Lattice Dual Computations of Non-abelian Yang-Mills on the Lattice

2007-05-18

arxiv.org/abs/0705.2629v3

Phys.Rev.D76:094503,2007

Physics

High Energy Physics

High Energy Physics - Lattice

v1: 18 pages, 7 figures, v2: Many changes to appendix, minor changes throughout, references and figures added, v3: minor corre

Scientific paper

10.1103/PhysRevD.76.094503

In the past several decades there have been a number of proposals for computing with dual forms of non-abelian Yang-Mills theories on the lattice. Motivated by the gauge-invariant, geometric picture offered by dual models and successful applications of duality in the U(1) case, we revisit the question of whether it is practical to perform numerical computation using non-abelian dual models. Specifically, we consider three-dimensional SU(2) pure Yang-Mills as an accessible yet non-trivial case in which the gauge group is non-abelian. Using methods developed recently in the context of spin foam quantum gravity, we derive an algorithm for efficiently computing the dual amplitude and describe Metropolis moves for sampling the dual ensemble. We relate our algorithms to prior work in non-abelian dual computations of Hari Dass and his collaborators, addressing several problems that have been left open. We report results of spin expectation value computations over a range of lattice sizes and couplings that are in agreement with our conventional lattice computations. We conclude with an outlook on further development of dual methods and their application to problems of current interest.

Affiliated with

Also associated with

No associations

Rating

Dual Computations of Non-abelian Yang-Mills 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 Dual Computations of Non-abelian Yang-Mills on the Lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dual Computations of Non-abelian Yang-Mills on the Lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-438561