Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-06-13
Phys.Lett. B487 (2000) 349-356
Physics
High Energy Physics
High Energy Physics - Lattice
18 pages, 7 figures, 1 reference added, 1 corrected
Scientific paper
10.1016/S0370-2693(00)00835-2
We report on a study of the supersymmetric anharmonic oscillator computed using a euclidean lattice path integral. Our numerical work utilizes a Fourier accelerated hybrid Monte Carlo scheme to sample the path integral. Using this we are able to measure massgaps and check Ward identities to a precision of better than one percent. We work with a non-standard lattice action which we show has an {\it exact} supersymmetry for arbitrary lattice spacing in the limit of zero interaction coupling. For the interacting model we show that supersymmetry is restored in the continuum limit without fine tuning. This is contrasted with the situation in which a `standard' lattice action is employed. In this case supersymmetry is not restored even in the limit of zero lattice spacing. Finally, we show how a minor modification of our action leads to an {\it exact}, local lattice supersymmetry even in the presence of interaction.
Catterall Simon
Gregory Eric
No associations
LandOfFree
A lattice path integral for supersymmetric quantum mechanics 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 A lattice path integral for supersymmetric quantum mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A lattice path integral for supersymmetric quantum mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-12016