Dr. Johannes Thürigen
research fellow
Mathematical InstituteT: 33905
johannes.thuerigen@uni-muenster.de
research fellow
Mathematical InstituteT: 33905
johannes.thuerigen@uni-muenster.de
Research Areas
- Tensor/Group field theory
- Renormalization and Hopf algebras
- Renormalization group
- Quantum gravity
CV
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
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
- . . ‘QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization.’ Journal of Mathematical Physics 65: 032302. doi: 10.1063/5.0158724.
- . . Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field Theory arXiv. [submitted / under review]
- . . New Fixed Points from Melonic Interactions arXiv.org. 1st Ed. . doi: https://doi.org/10.48550/arXiv.2406.01368. [submitted / under review]
- . . ‘Mean-Field Phase Transitions in TGFT Quantum Gravity.’ Physical Review Letters 130: 141501. doi: 10.1103/PhysRevLett.130.141501.
- . . ‘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.
- . . ‘Curvature effects in the spectral dimension of spin foams.’ Physical Review D (PRD) 108: 066011. doi: 10.1103/PhysRevD.108.066011.
- . . ‘One-matrix differential reformulation of two-matrix models.’ Reviews in Mathematical Physics 34, No. 08: 2250026. doi: 10.1142/S0129055X2250026X.
- . . ‘(No) phase transition in tensorial group field theory.’ Physics Letters B 816: 136215. doi: 10.1016/j.physletb.2021.136215.
- . . ‘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.
- . . ‘Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs.’ Math. Phys. Anal. Geom. 24, No. 2: 19. doi: 10.1007/s11040-021-09390-6.
- . . ‘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.
- . ‘Functional renormalization group in TGFT - the cyclic-melonic potential approximation.’ contributed to the Quantum Spacetime and the Renormalization Group 2020, Odense, Dänemark, .
- . . ‘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.
- . . ‘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.
- . . „Ansätze zur Quantengravitation - fundamentale Physik am Rande des Begriffs der Naturwissenschaft.“ Briefe zur Interdisziplinarität 23: 26–36.
- . . ‘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.
- . . ‘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.
- . . ‘Group field theories generating polyhedral complexes.’ PoS - Proceedings of Science FFP14: 177. doi: 10.22323/1.224.0177.
- . . Discrete quantum geometries and their effective dimension Dissertation thesis, Humboldt Universität zu Berlin. doi: 10.18452/17309.
- . . ‘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, 2168–2170. doi: 10.1142/9789814623995_0388.
- . . ‘Dimensional flow in discrete quantum geometries.’ Physical Review D - Particles, Fields, Gravitation, and Cosmology 91, No. 8: 084047. doi: 10.1103/PhysRevD.91.084047.
- . . ‘Group field theories for all loop quantum gravity.’ New Journal of Physics 17: 023042. doi: 10.1088/1367-2630/17/2/023042.
- . . ‘Spectral dimension of quantum geometries.’ Class. Quant. Grav. 31: 135014. doi: 10.1088/0264-9381/31/13/135014.
- . . ‘Laplacians on discrete and quantum geometries.’ Class. Quant. Grav. 30: 125006. doi: 10.1088/0264-9381/30/12/125006.
Scientific Talks
- 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 (Deutsche Physikalische Gesellschaft), 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), Center for Advanced Studies, LMU München, .
- Thürigen, Johannes (): ‘4D Geometry Generated by Combinatorially Non-local Field Theory’. Quantum Gravity 2023 (International Society for Quantum Gravity), 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 (DPG), 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 (Deutsche Physikalische Gesellschaft), 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, .