Personne

Denis Karateev

Publications associées (9)

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

Andrea Guerrieri, Denis Karateev, Kelian Philippe Häring

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. ...

EPFL Infoscience2023

Bounds on scattering of neutral Goldstones

Andrea Guerrieri, Denis Karateev, Kelian Philippe Häring

We study the space of

2\to 2

scattering amplitudes of neutral Goldstone bosons in four space-time dimensions. We establish universal bounds on the first two non-universal Wilson coefficients of the low energy Effective Field Theory (EFT) for such particl ...

2023

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 ...

SPRINGER2022

Numerical data for scattering amplitudes of photon in d=4.

Denis Karateev, Marco Meineri, 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

Bounds on photon scattering

Denis Karateev, Kelian Philippe Häring, Marco Meineri, 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 ...

2022

Bootstrapping massive quantum field theories

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 ...

SPRINGER2020

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 ...

Springer2019

Fermion conformal bootstrap in 4d

Denis Karateev, Alessandro Vichi

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 ...

Springer2019

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 ...

Springer2019

Bounds on scattering of neutral Goldstones

Andrea Guerrieri, Denis Karateev, Kelian Philippe Häring

We study the space of

2\to 2

2023

Bounds on photon scattering

Denis Karateev, Kelian Philippe Häring, Marco Meineri, 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 ...

2022