Publications de Denis Karateev

Bounds on photon scattering

Kelian Philippe Häring, João Miguel Augusto Penedones Fernandes, Marco Meineri, Denis Karateev, Aditya Hebbar

We study 2-to-2 scattering amplitudes of massless spin one particles in d = 4 space-time dimensions, like real world photons. We define a set of non-perturbative observables (Wilson coefficients) which describe these amplitudes at low energies. We use full ...

SPRINGER2024

Numerical data for scattering amplitudes of Neutral Goldstone bosons in 4d

Kelian Philippe Häring, Andrea Guerrieri, Denis Karateev

Numerical data for scattering amplitudes of Goldstone bosons in d=4 obtained by solving various optimisation problems. The data is stored in .m files. Mathematica notebook is provided for loading and plotting the data. ...

Zenodo2023

Spinning S-matrix bootstrap in 4d

João Miguel Augusto Penedones Fernandes, Denis Karateev, Aditya Hebbar

We review unitarity and crossing constraints on scattering amplitudes for particles with spin in four dimensional quantum field theories. As an application we study two to two scattering of neutral spin 1/2 fermions in detail. Assuming Mandelstam analytici ...

Springer Nature2022

Numerical data for scattering amplitudes of photon in d=4

João Miguel Augusto Penedones Fernandes, Marco Meineri, Denis Karateev, Aditya Hebbar

Numerical data for scattering amplitudes of photons in d=4 obtained by solving various optimisation problems. The data is stored in .txt files. Mathematica notebook is provided for loading and plotting the data. ...

2022

Two-point functions and bootstrap applications in quantum field theories

Denis Karateev

We study two-point functions of local operators and their spectral representation in UV complete quantum field theories in generic dimensions focusing on conserved currents and the stress-tensor. We establish the connection with the central charges of the ...

Springer Nature2022

Bootstrapping massive quantum field theories

João Miguel Augusto Penedones Fernandes, Denis Karateev

We propose a new non-perturbative method for studying UV complete unitary quantum field theories (QFTs) with a mass gap in general number of spacetime dimensions. The method relies on unitarity formulated as positive semi-definiteness of the matrix of inne ...

Springer Nature2020

Fermion conformal bootstrap in 4d

Alessandro Vichi, Denis Karateev

We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE coefficients, including bounds on operators in mixed symmetry representatio ...

Springer Nature2019

Scalar-fermion analytic bootstrap in 4D

Denis Karateev

In this work we discuss an analytic bootstrap approach [1, 2] in the context of spinning 4D conformal blocks [3, 4]. As an example we study the simplest spinning case, the scalar-fermion correlator. We find that to every pair of primary scalar phi and ferm ...

Springer Nature2019

Harmonic analysis and mean field theory

Denis Karateev

We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform. We introduce two efficient methods for computing these quantities: one based on weigh ...

Springer Nature2019

General bootstrap equations in 4D CFTs

Gabriel Francisco Cuomo, Denis Karateev

Springer Nature2018