Finite-volume effects in moving frames

Details Finite-volume effects in moving frames Finite-volume effects in moving frames

2005-10-04

arxiv.org/abs/hep-lat/0510022v1

PoS LAT2005:359,2006

Physics

High Energy Physics

High Energy Physics - Lattice

6 page, Lattice 2005

Scientific paper

We determine the quantization condition for the energy levels of two interacting particles in a finite box in a ``moving frame'', i.e. one in which the total momentum of pions is non-zero. This condition is valid up to corrections which fall exponentially withe the box size, and holds only below the inelastic threshold. It is derived using field theoretic methods, using a generalization of previous summation formulae relating sums and integrals over momenta. The result agrees with that obtained earlier by Rummakainen and Gottlieb using a relativistic quantum mechanical approach. Technically, we expand the finite-volume four-point Green function in terms of the infinite-volume Bethe-Salpeter kernel, and determine the position of the poles. The final result is written in terms of the two-pion scattering phase shift. Our result can be used to facilitate the determination of the scattering phase shift, and can be used to generalize the Lellouch-L\"uscher formula relating finite-volume two-particle matrix elements to those in infinite volume.

Affiliated with

Also associated with

No associations

Rating

Finite-volume effects in moving frames 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 Finite-volume effects in moving frames, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite-volume effects in moving frames will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83328