14 citations · 14 across the 1 of their papers we have counts for
7 papers
Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs
Johannes Thürigen
It is well known that the mathematical structure underlying renormalization in perturbative quantum field theory is based on a Hopf algebra of Feynman diagrams. A precondition for…
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…
Phase transitions in group field theory: The Landau perspective
Andreas G. A. Pithis, Johannes Thürigen
In various approaches to quantum gravity continuum spacetime is expected to emerge from discrete geometries through a phase transition. In group field theory, various indications f…
Emergence of Spacetime in a restricted Spin-foam model
Sebastian Steinhaus, Johannes Thürigen
The spectral dimension has proven to be a very informative observable to understand the properties of quantum geometries in approaches to quantum gravity. In loop quantum gravity a…