Dr. Johannes Thürigen
research fellow
Mathematical InstituteT: 33905
johannes.thuerigen@uni-muenster.de
research fellow
Mathematical InstituteT: 33905
johannes.thuerigen@uni-muenster.de
Research Foci
- Tensor/Group field theory
- Renormalization and Hopf algebras
- Renormalization group
- Quantum gravity
CV
Academic Education
Positions
- Mathematical Institute, WWU Münster
- Department for Physics/Department for Mathematics, Humboldt University Berlin
- Laboratoire de Physique Théorique Orsay, Université Paris Sud XI
- Max-Planck Institute for Gravitational Physics Potsdam
Honors
- DAAD PRIME Fellowship – Deutscher Akademischer Austauschdienst (DAAD)
- Humboldt Post-Doc Scholarship – Humboldt-Universität zu Berlin
- PhD scholarship – Evangelisches Studienwerk Villigst
- PhD scholarship – Andrea von Braun Stiftung
Teaching
- Vorlesung: Combinatorially Non-Local Field Theory [100244]
- Seminar: Seminar "From Random Matrices to Random Tensors" [108250]
Projects
- Non-perturbative Group field theory from combinatorial Dyson-Schwinger equations and their algebraic structure II ( – )
Individual Granted Project: DFG - Individual Grants Programme | Project Number: TH 2402/1-2 - Non-perturbative Group field theory from combinatorial Dyson-Schwinger equations and their algebraic structure ( – )
Individual Granted Project: DFG - Individual Grants Programme | Project Number: TH 2402/1-1
- Non-perturbative Group field theory from combinatorial Dyson-Schwinger equations and their algebraic structure II ( – )
Publications
- Juliano, L, and Thürigen, J. . “New Fixed Points from Melonic Interactions.” Physics Letters B, № 860: 139218. doi: 10.1016/j.physletb.2024.139218.
- Ben Geloun, J, Pithis, A, and Thürigen, J. . “QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization.” Journal of Mathematical Physics, № 65: 032302. doi: 10.1063/5.0158724.
- Hock, A, and Thürigen, J. . “Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field Theory.” arXiv
- Balduf, P, and Thürigen, J. . “Primitive asymptotics in $\phi^4$ vector theory.” arXiv.org doi: 10.48550/arXiv.2412.08617.
- Ben Achour, J, Benedetti, D, Bojowald, M, et al. . “Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives.” General Relativity and Gravitation, № 57 2. doi: 10.1007/s10714-024-03335-4.
- Marchetti, L, Oriti, D, Pithis, A, and Thürigen, J. . “Mean-Field Phase Transitions in TGFT Quantum Gravity.” Physical Review Letters, № 130: 141501. doi: 10.1103/PhysRevLett.130.141501.
- Marchetti, L, Oriti, D, Pithis, A, and Thürigen, J. . “Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models.” Journal of High Energy Physics (JHEP), № 02: 074. doi: 10.1007/JHEP02(2023)074.
- Jercher, A, Steinhaus, S, and Thürigen, J. . “Curvature effects in the spectral dimension of spin foams.” Physical Review D (PRD), № 108: 066011. doi: 10.1103/PhysRevD.108.066011.
- Brunekreef, J, Lionni, L, and Thürigen, J. . “One-matrix differential reformulation of two-matrix models.” Reviews in Mathematical Physics, № 34 (08): 2250026. doi: 10.1142/S0129055X2250026X.
- Pithis, AG, and Thürigen, J. . “(No) phase transition in tensorial group field theory.” Physics Letters B, № 816: 136215. doi: 10.1016/j.physletb.2021.136215.
- Thürigen, J. . “Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme.” Symmetry, Integrability and Geometry: Methods and Applications, № 17: 094. doi: 10.3842/SIGMA.2021.094.
- Thürigen, J. . “Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs.” Math. Phys. Anal. Geom., № 24 (2): 19. doi: 10.1007/s11040-021-09390-6.
- Marchetti, L, Oriti, D, Pithis, A, and Thürigen, J. . “Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom.” JHEP, № 12 (2021): 201. doi: 10.1007/JHEP12(2021)201.
- Thürigen, J. . “Functional renormalization group in TGFT - the cyclic-melonic potential approximation.” contribution to the Quantum Spacetime and the Renormalization Group 2020, Odense, Dänemark
- Pithis, AG, and Thürigen, J. . “Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to O(N) models.” JHEP, № 12 (2020): 159. doi: 10.1007/JHEP12(2020)159.
- Lionni, L, and Thürigen, J. . “Multi-critical behaviour of 4-dimensional tensor models up to order 6.” Nuclear Physics B, № 941: 600–635. doi: 10.1016/j.nuclphysb.2019.02.026.
- Thürigen, Johannes. . “Ansätze zur Quantengravitation - fundamentale Physik am Rande des Begriffs der Naturwissenschaft.” Briefe zur Interdisziplinarität, № 23: 26–36.
- Pithis, A, and Thürigen, J. . “Phase transitions in group field theory: The Landau perspective.” Physical Review D - Particles, Fields, Gravitation, and Cosmology, № 98: 126006. doi: 10.1103/PhysRevD.98.126006.
- Steinhaus, S, and Thürigen, J. . “Emergence of Spacetime in a restricted Spin-foam model.” Physical Review D - Particles, Fields, Gravitation, and Cosmology, № 98: 026013. doi: 10.1103/PhysRevD.98.026013.
- Thürigen, J. . “Group field theories generating polyhedral complexes.” PoS - Proceedings of Science, № FFP14: 177. doi: 10.22323/1.224.0177.
- Thürigen, J. . “Discrete quantum geometries and their effective dimension.” Dissertation thesis, Humboldt Universität zu Berlin. doi: 10.18452/17309.
- Thürigen, J. . “Fields and Laplacians on Quantum Geometries.” in Proceedings, 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories (MG13): Stockholm, Sweden, July 1-7, 2012 doi: 10.1142/9789814623995_0388.
- Calcagni, G, Oriti, D, and Thürigen, J. . “Dimensional flow in discrete quantum geometries.” Physical Review D - Particles, Fields, Gravitation, and Cosmology, № 91 (8): 084047. doi: 10.1103/PhysRevD.91.084047.
- Oriti, D, Ryan, JP, and Thürigen, J. . “Group field theories for all loop quantum gravity.” New Journal of Physics, № 17: 023042. doi: 10.1088/1367-2630/17/2/023042.
- Calcagni, G, Oriti, D, and Thürigen, J. . “Spectral dimension of quantum geometries.” Class. Quant. Grav., № 31: 135014. doi: 10.1088/0264-9381/31/13/135014.
- Calcagni, G, Oriti, D, and Thurigen, J. . “Laplacians on discrete and quantum geometries.” Class. Quant. Grav., № 30: 125006. doi: 10.1088/0264-9381/30/12/125006.
Scientific Talks
- Thürigen, J : “Tensor combinatorics in the renormalization group”. YOUNGST@RS - Combinatorics in Fundamental Physics, Mainz (online), .
- Thürigen, J : “Anisotropic Fixed Points in Tensorial Phase Space”. QFT Seminar, TPI Jena, .
- Thürigen, J : “Approaching Continuum Geometry Dynamically: The Full Large-N Phase Space of Melonic Interactions”. Workshop "3D maps", Paris, .
- Thürigen, J : “ Wave Function Renormalizations in Non-Local Field Theories”. DPG-Frühjahrstagung 2024, Berlin, .
- Thürigen, J. : “The Phase Space of Field Theories with Tensorial Interactions”. Lorentzian Quantum Gravity: Renormalization Group and Phase Structure, Center for Advanced Studies, LMU München, .
- Thürigen, Johannes : “4D Geometry Generated by Combinatorially Non-local Field Theory”. Quantum Gravity 2023, Nijmegen, .
- Thürigen, Johannes : “Quantum Geometry & the Functional Renormalization Group in Tensorial Field Theory”. QFT Seminar, Institute for Theoretical Physics, FSU Jena, .
- Thürigen, Johannes : “What numbers in combinatorially non-local field theory?” Period Seminar, Mathematical Institute, University of Oxford, .
- Thürigen, Johannes : “Flowing from Tensor Field Theory to Tensor Models”. Quantum Gravity and Random Geometry, Paris, .
- Thürigen, Johannes : “Three Ways to Mean-Field Group Field Theory”. Quantum gravity, hydrodynamics and emergent cosmology, München, .
- Thürigen, Johannes : “Dimensional reduction along the RG flow in combinatorially non-local field theories”. 11th International Conference on the Exact Renormalization Group 2022, Berlin, .
- Thürigen, Johannes : “Local-Potential Approximation in Tensor-Invariant Theories”. Tensor Journal Club, Paris (virtual), .
- Thürigen, Johannes : “Algebraic Structures in Renormalization of Tensorial Fields”. Random Geometry in Heidelberg, Heidelberg, .
- Thürigen, Johannes : “Dyson-Schwinger Equations in Tensorial Φ^4 Theory”. DPG Frühjahrstagung 2022, Heidelberg, .
- Thürigen, Johannes : “Phase Transitions and Critical Dimension in GFT”. 9th Tux Workshop on Quantum Gravity, Tux, .
- Thürigen, Johannes : “Combinatorial Dyson-Schwinger equations in tensorial field theory”. Higher structures emerging from renormalisation, Erwin Schrödinger Institute, Vienna, Austria, .
- Thürigen, Johannes : “Perturbative Renormalization in Combinatorially Non-local Field Theory”. DPG-Tagung der Sektion Materie und Kosmos 2021, virtuell, .
- Thürigen, Johannes : “BPHZ renormalization in combinatorially non-local field theory”. Joint Theory Seminar , ESI Universität Wien & ITP TU Wien, .
- Thürigen, Johannes : “Algebraic structure in renormalization of combinatorially non-local field theories”. Research seminar Structure of Local Quantum Field Theories, Humboldt-Universität zu Berlin, .
- Thürigen, Johannes; Pithis, Andreas : “Challenges for TGFT”. Tensor Journal Club, Paris, .
- Thürigen, Johannes : “The Connes-Kreimer Hopf algebra in combinatorially non-local field theory”. ACPMS Seminar (Algebraic and combinatorial perspectives in the mathematical sciences), NTNU, Trondheim, Norway, .
- Thürigen, Johannes : “Tensor vs. vector theories - the (functional) renormalization group perspective”. Tensor Journal Club, Paris, .