We study a model of Tensorial Group Field Theory (TGFT) on R3 from the point of view of the Functional Renormalization Group (FRG). This is the first attempt to apply a renormalization procedure to a TGFT model defined over a non-compact group manifold. IR divergences (with respect to the metric on R) coming from the non-compactness of the group are regularised via compactification, and a thermodynamic limit is then taken. We identify then IR and UV fixed points of the RG flow and find strong hints of a phase transition of the TGFT system from a symmetric to a broken or condensate phase in the IR.
Ben Geloun, J., Martini, R., Oriti, D. (2015). Functional Renormalization Group analysis of a Tensorial Group Field Theory on R. EUROPHYSICS LETTERS, 112(3), 1-6 [10.1209/0295-5075/112/31001].
Functional Renormalization Group analysis of a Tensorial Group Field Theory on R
Martini R.;
2015
Abstract
We study a model of Tensorial Group Field Theory (TGFT) on R3 from the point of view of the Functional Renormalization Group (FRG). This is the first attempt to apply a renormalization procedure to a TGFT model defined over a non-compact group manifold. IR divergences (with respect to the metric on R) coming from the non-compactness of the group are regularised via compactification, and a thermodynamic limit is then taken. We identify then IR and UV fixed points of the RG flow and find strong hints of a phase transition of the TGFT system from a symmetric to a broken or condensate phase in the IR.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
