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Polchinski's equation for group field theory

descriptionPublicationkeyboard_double_arrow_right Article 27 Jun 2014Publisher:WileyJournal:Fortschritte der Physik, volume 62, pages 855-862 (issn: 0015-8208, eissn: 1521-3978,

Authors: Krajewski, Thomas; Toriumi, Reiko;

doi: 10.1002/prop.201400043

Polchinski's equation for group field theory

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Abstract

AbstractWe derive an exact renormalization group equation in the context of (colored) group field theories. This equation describes the variation of the effective action as some of the modes of the fields are integrated out. From a combinatorial point of view, the effective action can be expressed using a boundary triangulation and the corresponding renormalization group equation identifies some of its simplexes, image In group field theory, terms in the effective action are parametrized by spin networks, while the group field theory Feynman graphs correspond to spin foams. This provides a formulation of group field theories that only involves boundary graphs.

Related Organizations

Université de Toulon
France
French National Centre for Scientific Research
France
Centre de Physique Théorique
France
Aix-Marseille University
France

Keywords

[PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]

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