7 papers
Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape
Thomas W. Grimm, David Prieto, Mick van Vliet
Effective field theories consistent with quantum gravity obey surprising finiteness constraints, appearing in several distinct but interconnected forms. In this work we develop a f…
Resonance and Differential Reduction of Feynman Integrals
Ruth Britto, Thomas W. Grimm, Arno Hoefnagels
Feynman integrals may be viewed as generalized hypergeometric functions, and specifically as solutions of GKZ systems of partial differential equations that typically exhibit reson…
On the Complexity of Effective Theories -- Seiberg-Witten theory
Martin Carrascal, Ferdy Ellen, Thomas W. Grimm +1
Motivated by the idea that consistent quantum field theories should admit a finite description, we investigate the complexity of effective field theories using the framework of eff…
On the Complexity of Quantum Field Theory
Thomas W. Grimm, Mick van Vliet
We initiate a study of the complexity of quantum field theories (QFTs) by proposing a measure of information contained in a QFT and its observables. We show that from minimal asser…
Tame Embeddings, Volume Growth, and Complexity of Moduli Spaces
Thomas W. Grimm, David Prieto, Mick van Vliet
Quantum gravity is expected to impose constraints on the moduli spaces of massless fields that can arise in effective quantum field theories. A recent proposal asserts that the asy…
Reductions of GKZ Systems and Applications to Cosmological Correlators
Thomas W. Grimm, Arno Hoefnagels
A powerful approach to computing Feynman integrals or cosmological correlators is to consider them as solution to systems of differential equations. Often these can be chosen to be…