Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-03-10
J. Phys. A44 (2011) 255401
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 4 figures; v2 contains small corrections
Scientific paper
10.1088/1751-8113/44/25/255401
In this paper we compute higher particle form factors of branch point twist fields. These fields were first described in the context of massive 1+1-dimensional integrable quantum field theories and their correlation functions are related to the bi-partite entanglement entropy. We find analytic expressions for some form factors and check those expressions for consistency, mainly by evaluating the conformal dimension of the corresponding twist field in the underlying conformal field theory. We find that solutions to the form factor equations are not unique so that various techniques need to be used to identify those corresponding to the branch point twist field we are interested in. The models for which we carry out our study are characterized by staircase patterns of various physical quantities as functions of the energy scale. As the latter is varied, the beta-function associated to these theories comes close to vanishing at several points between the deep infrared and deep ultraviolet regimes. In other words, renormalisation group flows approach the vicinity of various critical points before ultimately reaching the ultraviolet fixed point. This feature provides an optimal way of checking the consistency of higher particle form factor solutions, as the changes on the conformal dimension of the twist field at various energy scales can only be accounted for by considering higher particle form factor contributions to the expansion of certain correlation functions.
Castro-Alvaredo Olalla A.
Levi Emanuele
No associations
LandOfFree
Higher particle form factors of branch point twist fields in integrable quantum 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 Higher particle form factors of branch point twist fields in integrable quantum field theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher particle form factors of branch point twist fields in integrable quantum field theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-631677