68 citations · 417 across the 24 of their papers we have counts for
10 papers · 1 filter
New Fixed Points from Melonic Interactions
Leonardo Juliano, Johannes Thürigen
Generalizations of vector field theories to tensors allow to similarly apply large- techniques but find a richer though often still tractable structure. However, the potential o…
QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization
Joseph Ben Geloun, Andreas G. A. Pithis, Johannes Thürigen
Field theories with combinatorial non-local interactions such as tensor invariants are interesting candidates for describing a phase transition from discrete quantum-gravitational…
Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme
Johannes Thürigen
Various combinatorially non-local field theories are known to be renormalizable. Still, explicit calculations of amplitudes are very rare and restricted to matrix field theory. In…
Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to O models
Andreas G. A. Pithis, Johannes Thürigen
In the group field theory approach to quantum gravity, continuous spacetime geometry is expected to emerge via phase transition. However, understanding the phase diagram and findin…
(No) phase transition in tensorial group field theory
Andreas G. A. Pithis, Johannes Thürigen
Continuum spacetime is expected to emerge via phase transition in discrete approaches to quantum gravity. A promising example is tensorial group field theory but its phase diagram…
Multi-critical behaviour of 4-dimensional tensor models up to order 6
Luca Lionni, Johannes Thürigen
Tensor models generalize the matrix-model approach to 2-dimensional quantum gravity to higher dimensions. Some models allowing a expansion have been explored, most of them ge…
Dimensional flow in discrete quantum geometries
Gianluca Calcagni, Daniele Oriti, Johannes Thürigen
In various theories of quantum gravity, one observes a change in the spectral dimension from the topological spatial dimension at large length scales to some smaller value at s…
Spectral dimension of quantum geometries
Gianluca Calcagni, Daniele Oriti, Johannes Thürigen
The spectral dimension is an indicator of geometry and topology of spacetime and a tool to compare the description of quantum geometry in various approaches to quantum gravity. Thi…
Laplacians on discrete and quantum geometries
Gianluca Calcagni, Daniele Oriti, Johannes Thürigen
We extend discrete calculus for arbitrary (-form) fields on embedded lattices to abstract discrete geometries based on combinatorial complexes. We then provide a general definit…
N=4 Multi-Particle Mechanics, WDVV Equation and Roots
Olaf Lechtenfeld, Konrad Schwerdtfeger, Johannes Thürigen
We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The super…