11 papers
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…
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…
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…
Axion-Scalar Systems and Dynamical Distances
Thomas W. Grimm, Damian van de Heisteeg, Filippo Revello
We study the cosmology of axion-scalar pairs, coupled by a hyperbolic field-space metric and with a string-motivated rational scalar potential. Borrowing tools from the theory of d…
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…
A Reduction Algorithm for Cosmological Correlators: Cuts, Contractions, and Complexity
Thomas W. Grimm, Arno Hoefnagels, Mick van Vliet
Cosmological correlators are fundamental observables in an expanding universe and are highly non-trivial functions even at tree-level. In this work, we uncover novel structures in…
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…
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…
Taming non-analyticities of QFT observables
Thomas W. Grimm, Giovanni Ravazzini, Mick van Vliet
Many observables in quantum field theories are involved non-analytic functions of the parameters of the theory. However, it is expected that they are not arbitrarily wild, but rath…
Structure and Complexity of Cosmological Correlators
Thomas W. Grimm, Arno Hoefnagels, Mick van Vliet
Cosmological correlators capture the spatial fluctuations imprinted during the earliest episodes of the universe. While they are generally very non-trivial functions of the kinemat…
Complexity in Tame Quantum Theories
Thomas W. Grimm, Lorenz Schlechter, Mick van Vliet
Inspired by the notion that physical systems can contain only a finite amount of information or complexity, we introduce a framework that allows for quantifying the amount of logic…