Energy Level Distribution of Perturbed Conformal Field Theories

Details Energy Level Distribution of Perturbed Conformal Field Theories Energy Level Distribution of Perturbed Conformal Field Theories

2010-04-27

arxiv.org/abs/1004.4844v1

Physics

Condensed Matter

Statistical Mechanics

20 pages, 9 figures

Scientific paper

We study the energy level spacing of perturbed conformal minimal models in finite volume, considering perturbations of such models that are massive but not necessarily integrable. We compute their spectrum using a renormalization group improved truncated conformal spectrum approach. With this method we are able to study systems where more than 40000 states are kept and where we determine the energies of the lowest several thousand eigenstates with high accuracy. We find, as expected, that the level spacing statistics of integrable perturbed minimal models are Poissonian while the statistics of non-integrable perturbations are GOE-like. However by varying the system size (and so controlling the positioning of the theory between its IR and UV limits) one can induce crossovers between the two statistical distributions.

Affiliated with

Also associated with

No associations

Rating

Energy Level Distribution of Perturbed Conformal Field Theories 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 Energy Level Distribution of Perturbed Conformal Field Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy Level Distribution of Perturbed Conformal Field Theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-237505