250 citations · 943 across the 13 of their papers we have counts for
12 papers · 1 filter
Towards the non-perturbative cosmological bootstrap
Matthijs Hogervorst, João Penedones, Kamran Salehi Vaziri
We study quantum field theory on a de Sitter spacetime dS background. Our main tool is the Hilbert space decomposition in irreducible unitary representations of its isometr…
Hamiltonian truncation in Anti-de Sitter spacetime
Matthijs Hogervorst, Marco Meineri, Joao Penedones +1
Quantum Field Theories (QFTs) in Anti-de Sitter (AdS) spacetime are often strongly coupled when the radius of AdS is large, and few methods are available to study them. In this wor…
Bounds on multiscalar CFTs in the epsilon expansion
Matthijs Hogervorst, Chiara Toldo
We study fixed points with N scalar fields in dimensions to leading order in using a bottom-up approach. We do so by analyzing O(N) invariants of th…
RG flows on and Hamiltonian truncation
Matthijs Hogervorst
We describe a nonperturbative method to compute the partition function and correlation functions for scalar QFTs set on the -dimensional sphere . The method relies on a Ham…
Crossing Kernels for Boundary and Crosscap CFTs
Matthijs Hogervorst
This paper investigates d-dimensional CFTs in the presence of a codimension-one boundary and CFTs defined on real projective space RP^d. Our analysis expands on the alpha space met…
Crossing Symmetry in Alpha Space
Matthijs Hogervorst, Balt C. van Rees
We initiate the study of the conformal bootstrap using Sturm-Liouville theory, specializing to four-point functions in one-dimensional CFTs. We do so by decomposing conformal corre…
The ABC (in any D) of Logarithmic CFT
Matthijs Hogervorst, Miguel Paulos, Alessandro Vichi
Logarithmic conformal field theories have a vast range of applications, from critical percolation to systems with quenched disorder. In this paper we thoroughly examine the structu…
Dimensional Reduction for Conformal Blocks
Matthijs Hogervorst
We consider the dimensional reduction of a CFT, breaking multiplets of the d-dimensional conformal group SO(d+1,1) up into multiplets of SO(d,1). This leads to an expansion of d-di…
Unitarity violation at the Wilson-Fisher fixed point in 4-epsilon dimensions
Matthijs Hogervorst, Slava Rychkov, Balt C. van Rees
We consider the continuation of free and interacting scalar field theory to non-integer spacetime dimension d. We find that the correlation functions in these theories are necessar…
A Cheap Alternative to the Lattice?
Matthijs Hogervorst, Slava Rychkov, Balt C. van Rees
We show how to perform accurate, nonperturbative and controlled calculations in quantum field theory in d dimensions. We use the Truncated Conformal Space Approach (TCSA), a Hamilt…
Diagonal Limit for Conformal Blocks in d Dimensions
Matthijs Hogervorst, Hugh Osborn, Slava Rychkov
Conformal blocks in any number of dimensions depend on two variables z, zbar. Here we study their restrictions to the special "diagonal" kinematics z = zbar, previously found usefu…
Radial Coordinates for Conformal Blocks
Matthijs Hogervorst, Slava Rychkov
We develop the theory of conformal blocks in CFT_d expressing them as power series with Gegenbauer polynomial coefficients. Such series have a clear physical meaning when the confo…