Entanglement entropy of SU(3) Yang-Mills theory

Details Entanglement entropy of SU(3) Yang-Mills theory Entanglement entropy of SU(3) Yang-Mills theory

2009-11-13

arxiv.org/abs/0911.2596v1

PoS LAT2009:188,2009

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 9 figures, contribution to the "XXVII International Symposium on Lattice Field Theory", July 26-31, 2009, Peking Univ

Scientific paper

We calculate the entanglement entropy using a SU(3) quenched lattice gauge simulation. We find that the entanglement entropy scales as $1/l^2$ at small $l$ as in the conformal field theory. Here $l$ is the size of the system, whose degrees of freedom is left after the other part are traced out. The derivative of the entanglement entropy with respect to $l$ hits zero at about $l^{\ast} = 0.6 \sim 0.7$ [fm] and vanishes above the length. It may imply that the Yang-Mills theory has the mass gap of the order of $1/l^{\ast}$. Within our statistical errors, no discontinuous change can be seen in the entanglement entropy. We discuss also a subtle point appearing in gauge systems when we divide a system with cuts.

Affiliated with

Also associated with

No associations

Rating

Entanglement entropy of SU(3) Yang-Mills theory 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 Entanglement entropy of SU(3) Yang-Mills theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement entropy of SU(3) Yang-Mills theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-149662