68 citations · 417 across the 24 of their papers we have counts for
24 papers
Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
Jibril Ben Achour, Dario Benedetti, Martin Bojowald +17
This collection of perspective pieces captures recent advancements and reflections from a dynamic research community dedicated to bridging quantum gravity, hydrodynamics, and emerg…
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…
Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field Theory
Alexander Hock, Johannes Thürigen
Matrix field theory is a combinatorially non-local field theory which has recently been found to be a non-trivial but solvable QFT example. To generalize such non-perturbative stru…
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…
Curvature effects in the spectral dimension of spin foams
Alexander Jercher, Sebastian Steinhaus, Johannes Thürigen
It has been shown in [1] that a class of restricted spin foam models can feature a reduced spectral dimension of space-time. However, it is still an open question how curvature aff…
Mean-field phase transitions in TGFT quantum gravity
Luca Marchetti, Daniele Oriti, Andreas G. A. Pithis +1
Controlling the continuum limit and extracting effective gravitational physics are shared challenges for quantum gravity approaches based on quantum discrete structures. The descri…
Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models
Luca Marchetti, Daniele Oriti, Andreas G. A. Pithis +1
In the tensorial group field theory (TGFT) approach to quantum gravity, the basic quanta of the theory correspond to discrete building blocks of geometry. It is expected that their…
Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom
Luca Marchetti, Daniele Oriti, Andreas G. A. Pithis +1
In the tensorial group field theory approach to quantum gravity, the theory is based on discrete building blocks and continuum spacetime is expected to emerge from their collective…
One-matrix differential reformulation of two-matrix models
Joren Brunekreef, Luca Lionni, Johannes Thürigen
Differential reformulations of field theories are often used for explicit computations. We derive a one-matrix differential formulation of two-matrix models, with the help of which…
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…
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…
Discrete quantum geometries and their effective dimension
Johannes Thürigen
In several approaches towards a quantum theory of gravity, such as group field theory and loop quantum gravity, quantum states and histories of the geometric degrees of freedom tur…
Group field theories generating polyhedral complexes
Johannes Thürigen
Group field theories are a generalization of matrix models which provide both a second quantized reformulation of loop quantum gravity as well as generating functions for spin foam…
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…
Group field theories for all loop quantum gravity
Daniele Oriti, James P. Ryan, Johannes Thürigen
Group field theories represent a 2nd quantized reformulation of the loop quantum gravity state space and a completion of the spin foam formalism. States of the canonical theory, in…
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…
Fields and Laplacians on Quantum Geometries
Johannes Thürigen
In fundamentally discrete approaches to quantum gravity such as loop quantum gravity, spin-foam models, group field theories or Regge calculus observables are functions on discrete…
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…