Theoretical High Energy Seminar – Niels Bohr Institute - University of Copenhagen

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Niels Bohr Institute > Calendar > 2012 > Theoretical High Energ...

Theoretical High Energy Seminar

Speaker: Timothy Budd (NBI)

Title: Adding colors to 3d dynamical triangulations

Abstract:

Matrix models provide an analytic means of studying random triangulations of 2d manifolds. In an attempt to generalize the techniques to higher dimensions, colored tensor models have recently been proposed. The Feynman expansion of colored tensor models in 3d corresponds to a sum over triangulations of 3d (pseudo)manifolds endowed with a coloring. Inspired by these developments I investigate the effect of such coloring on the model of Dynamical Triangulations (DT) in three dimensions. I will present results from Monte Carlo simulations from which we might infer whether colored DT sits in the same universality class as uncolored DT. Finally I will demonstrate, by studying the branched polymer regime, how the additional structure introduced by the coloring eases analytic investigation of the model.