I am a DFG funded researcher in the Mathematical Physics group interested in renormalization and its algebraic structure in quantum field theory, in particular combinatorially non-local theories with applications to random geometry and quantum gravity. You can find more information here .
Research Interests | Tensor/Group field theory Renormalization and Hopf algebras Renormalization group Quantum gravity |
Current Talks | • Wave Function Renormalizations in Non-Local Field Theories. DPG-Frühjahrstagung 2024, Berlin Slides Link to event • The Phase Space of Field Theories with Tensorial Interactions. Lorentzian Quantum Gravity: Renormalization Group and Phase Structure, Center for Advanced Studies, LMU München • 4D Geometry Generated by Combinatorially Non-local Field Theory. Quantum Gravity 2023, Nijmegen Slides Link to event • Quantum Geometry & the Functional Renormalization Group in Tensorial Field Theory. QFT Seminar, Institute for Theoretical Physics, FSU Jena Link to event • What numbers in combinatorially non-local field theory?. Period Seminar, Mathematical Institute, University of Oxford • Flowing from Tensor Field Theory to Tensor Models. Quantum Gravity and Random Geometry, Paris Slides Link to event • Three Ways to Mean-Field Group Field Theory. Quantum gravity, hydrodynamics and emergent cosmology, München Link to event • Dimensional reduction along the RG flow in combinatorially non-local field theories. 11th International Conference on the Exact Renormalization Group 2022, Berlin Slides Link to event • Local-Potential Approximation in Tensor-Invariant Theories. Tensor Journal Club, Paris (virtual) Slides Link to event |
Current Publications | • Ben Geloun, J; Pithis, A; Thürigen, J QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization. Journal of Mathematical Physics Vol. 65, 2024 online • Hock, A; Thürigen, J Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field Theory. , 2024 online • Marchetti, L; Oriti, D; Pithis, A; Thürigen, J Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models. Journal of High Energy Physics (JHEP) Vol. 02, 2023 online • Marchetti, L; Oriti, D; Pithis, A; Thürigen, J Mean-Field Phase Transitions in TGFT Quantum Gravity. Physical Review Letters Vol. 130, 2023 online • Jercher, A; Steinhaus, S; Thürigen, J Curvature effects in the spectral dimension of spin foams. Physical Review D (PRD) Vol. 108, 2023 online • Brunekreef, J; Lionni, L; Thürigen, J One-matrix differential reformulation of two-matrix models. Reviews in Mathematical Physics Vol. 34 (08), 2022 online • Pithis AG, Thürigen J (No) phase transition in tensorial group field theory. Physics Letters B Vol. 816, 2021, pp 136215 online • Thürigen, J Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme. Symmetry, Integrability and Geometry: Methods and Applications Vol. 17, 2021 online • Thürigen J Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs. Math. Phys. Anal. Geom. Vol. 24 (2), 2021 online |
Current Projects | • Non-perturbative Group field theory from combinatorial Dyson-Schwinger equations and their algebraic structure II One of the greatest theoretical challenges in fundamental physics is to combine general relativity and quantum field theory to a quantum theory of gravity. Quantum field theories on non-commutative geometry have recently been found to be solvable non-perturbatively in a matrix-theory representation. Group field theory is a generalization of such matrix field theory to higher rank and is a candidate for a quantum theory of gravity. It is therefore an important question to what extent non-perturbative solutions can be obtained in group field theory as well. In this research project we address this challenge making use of the algebraic structure of renormalization on the level of Dyson-Schwinger equations. Quantum symmetries related both to the tensorial structure as well as the gauge invariance of the theory allow to simplify these equations. In this way we will find under which conditions group field theory can be solved non-perturbatively and derive solutions. Control over the non-perturbative regime is an open issue of huge physical interest since the limit to continuum space-time coincides with the limit to critical loci in such a theory of quantum gravity. online | johannes dot thuerigen at uni-muenster dot de |
Phone | +49 251 83-33905 |
Room | 306, OR 12 |
Secretary | Sekretariat Dierkes Frau Gabi Dierkes Telefon +49 251 83-33730 Zimmer 414 |
Address | Dr. Johannes Thürigen Mathematisches Institut Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 48149 Münster Deutschland |
Diese Seite editieren |