A numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model

Details A numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model A numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model

2010-09-17

arxiv.org/abs/1009.3428v1

Int.J.Mod.Phys.A26:1229-1252,2011

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 24 figures

Scientific paper

10.1142/S0217751X11052864

Recently, Kazakov, Gromov and Vieira applied the discrete Hirota dynamics to study the finite size spectra of integrable two dimensional quantum field theories. The method has been tested from large values of the size L down to moderate values using the SU(2) x SU(2) principal chiral model as a theoretical laboratory. We continue the numerical analysis of the proposed non-linear integral equations showing that the deep ultraviolet region L -> 0 is numerically accessible. To this aim, we introduce a relaxed iterative algorithm for the numerical computation of the low-lying part of the spectrum in the U(1) sector. We discuss in details the systematic errors involved in the computation. When a comparison is possible, full agreement is found with previous TBA computations.

Affiliated with

Also associated with

No associations

Rating

A numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model 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 numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442281