Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme
Thürigen, J
Research article (journal) | Peer reviewedAbstract
Various combinatorially non-local field theories are known to be renormalizable.Still, explicit calculations of amplitudes are very rare and restricted to matrixfield theory. In this contribution I want to demonstrate how the BPHZ momentumscheme in terms of the Connes-Kreimer Hopf algebra applies to any combinatoriallynon-local field theory which is renormalizable. This algebraic method improves the understanding of known results in noncommutative field theory in its matrixformulation. Furthermore, I use it to provide new explicit perturbative calculationsof amplitudes in tensorial field theories of rank $r>2$.
Details about the publication
Journal: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume: 17
Page range: 094null
Status: Published
Release year: 2021
Language in which the publication is written: English
Link to the full text: https://inspirehep.net/literature/1849630
Keywords: Renormalization; Hopf Algebra; Tensorial Field Theory
Authors from the University of Münster
| Thürigen, Johannes |
Projects the publication originates from
Duration: 01/06/2019 - 12/08/2022 | 1st Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project |
Talks on the publication
| Combinatorial Dyson-Schwinger equations in tensorial field theory Thürigen, Johannes (17/11/2021) Higher structures emerging from renormalisation, Erwin Schrödinger Institute, Vienna, Austria Type of talk: scientific Talk | |
| Perturbative Renormalization in Combinatorially Non-local Field Theory Thürigen, Johannes (02/09/2021) DPG-Tagung der Sektion Materie und Kosmos 2021, virtuell Type of talk: scientific Talk | |
| BPHZ renormalization in combinatorially non-local field theory Thürigen, Johannes (18/05/2021) Joint Theory Seminar , ESI Universität Wien & ITP TU Wien Type of talk: scientific Talk | |
| Algebraic structure in renormalization of combinatorially non-local field theories Thürigen, Johannes (10/05/2021) Research seminar Structure of Local Quantum Field Theories, Humboldt-Universität zu Berlin Type of talk: scientific Talk | |
| The Connes-Kreimer Hopf algebra in combinatorially non-local field theory Thürigen, Johannes (23/04/2021) ACPMS Seminar (Algebraic and combinatorial perspectives in the mathematical sciences), NTNU, Trondheim, Norway Type of talk: scientific Talk |