Publications by Miguel Alexandre Ribeiro Correia

Nonperturbative anomalous thresholds

Feynman diagrams (notably the triangle diagram) involving heavy enough particles contain branch cuts on the physical sheet-anomalous thresholds-which, unlike normal thresholds and bound-state poles, do not correspond to any asymptotic n-particle state. "Wh ...

American Physical Society2024

The O(N) monolith reloaded: sum rules and Form Factor Bootstrap

Miguel Alexandre Ribeiro Correia

We revisit the space of gapped quantum field theories with a global O(N) symmetry in two spacetime dimensions. Previous works using S-matrix bootstrap revealed a rich space in which integrable theories such as the non-linear sigma model appear at special p ...

Springer Nature2024

Nonperturbative aspects of scattering amplitudes

Miguel Alexandre Ribeiro Correia

In this thesis we study how physical principles imposed on the S-matrix, such as Lorentz invariance, unitarity, crossing symmetry and analyticity constrain quantum field theories at the nonperturbative level. We start with a pedagogical introduction to the ...

EPFL2023

Injecting the UV into the bootstrap: Ising Field Theory

Miguel Alexandre Ribeiro Correia, João Miguel Augusto Penedones Fernandes

We merge together recent developments in the S-matrix bootstrap program to develop a dual setup in 2 space-time dimensions incorporating scattering amplitudes of massive particles and matrix elements of local operators. In particular, the stress energy ten ...

Springer Nature2023

Probing multi-particle unitarity with the Landau equations

Miguel Alexandre Ribeiro Correia, Amit Sever, Alexander Zhiboedov

We consider the 2 -> 2 scattering amplitude of identical massive particles. We identify the Landau curves in the multi-particle region 16m(2)

2022

Covariant formulation of relativistic mechanics

Miguel Alexandre Ribeiro Correia

Accretion disks surrounding compact objects, and other environmental factors, deviate satellites from geodetic motion. Unfortunately, setting up the equations of motion for such relativistic trajectories is not as simple as in Newtonian mechanics. The prin ...

American Physical Society2022

An analytical toolkit for the S-matrix bootstrap

Miguel Alexandre Ribeiro Correia, Amit Sever, Alexander Zhiboedov

We revisit analytical methods for constraining the nonperturbative S-matrix of unitary, relativistic, gapped theories in d >= 3 spacetime dimensions. We assume extended analyticity of the two-to-two scattering amplitude and use it together with elastic uni ...

Springer Nature2021