Bound States in Models of Asymtotic Freedom

Details Bound States in Models of Asymtotic Freedom Bound States in Models of Asymtotic Freedom

1999-02-02

arxiv.org/abs/hep-th/9902025v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex 63 pages, one eps figure

Scientific paper

We describe a new formalism which expresses asymtotically free thories in a manifestly finite way, after renormalization and dimensional transmutation. The time evolution is NOT differentiable in these systems, so the hamiltonian does not exist. Instead, there is a new operator, the `Principal Operator', (which is roughly speaking the logarithm of the hamiltonian) which is finite (cut-off independent). We construct the Principal operator in several examples, including the Many body Problem of bosons in two dimensions with a short range attractive interaction. This allows us to estimate the ground state energy of a two-dimensional Bose condensate (with an attractive interaction). The ground state energy depends exponentially on the number of particles.

Affiliated with

Also associated with

No associations

Rating

Bound States in Models of Asymtotic Freedom 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 Bound States in Models of Asymtotic Freedom, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound States in Models of Asymtotic Freedom will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-147888