Dimensional reduction along the RG flow in combinatorially non-local field theories

Grunddaten zum Vortrag

Art des Vortrags: wissenschaftlicher Vortrag

Name der Vortragenden: Thürigen, Johannes

Datum des Vortrags: 25.07.2022

Vortragssprache: Englisch

URL zu den Präsentationsfolien: https://indico.tpi.uni-jena.de/event/199/contributions/603/

Informationen zur Veranstaltung

Name der Veranstaltung: 11th International Conference on the Exact Renormalization Group 2022

Zeitraum der Veranstaltung: 25.07.2022 - 29.07.2022

Ort der Veranstaltung: Berlin

Webseite der Veranstaltung: https://indico.tpi.uni-jena.de/event/199/

Zusammenfassung

Combinatorially non-local interactions are at the heart of matrix and tensor theories as well as non-commutative field theory. Interestingly, for theories on a compact domain their renormalization group equations are non-autonomous in the momentum scale. We show that this should be regarded not as an issue but as a feature of such theories leading to a reduction of the effective dimension of the field theory along the renormalization group flow. We illustrate this with the example of a field theory with tensorial symmetry using the functional renormalization group in the cyclic-melonic potential approximation. While this yields a dimensional flow on compact domain, we also find a new phase structure with hints for an asymptotic safe fixed point in the large-volume limit.

Stichwörter: Quantenfeldtheorie, Renormierungsgruppe