The microscopic structure of 2D CDT coupled to matter

Article history: Received 29 March 2015 Received in revised form 12 May 2015 Accepted 12 May 2015 Available online 15 May 2015 Editor: J. Hisano We show that for 1 + 1 dimensional Causal Dynamical Triangulations (CDT) coupled to 4 massive scalar fields one can construct an effective transfer matrix if the masses squared are larger than or equal to 0.05. The properties of this transfer matrix can explain why CDT coupled to matter can behave completely different from “pure” CDT. We identify the important critical exponent in the effective action, which may determine the universality class of the model. © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.