Publication
Bootstrapping amplitudes of scalar particles
Related publications (45)
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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 ...
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In this Letter, we address the question of whether the conformal invariance can be considered as a global symmetry of a theory of fundamental interactions. To describe Nature, this theory must contain a mechanism of spontaneous breaking of the scale symmet ...
ELSEVIER2023Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly
The classical Lagrangian of the Standard Model enjoys the symmetry of the full conformal group if the mass of the Higgs boson is put to zero. This is a hint that conformal symmetry may play a fundamental role in the ultimate theory describing nature. The o ...
AMER PHYSICAL SOC2023Quantum Field Theory in AdS Space instead of Lehmann-Symanzik-Zimmerman Axioms
The boundary correlation functions for a quantum field theory (QFT) in a fixed anti-de Sitter (AdS) background should reduce to S-matrix elements in the flat-space limit. We consider this procedure in detail for four-point functions. With minimal assumptio ...
AMER PHYSICAL SOC2023Nonperturbative Quantum Field Theory in Curved Spacetime
Quantum Field Theory(QFT) as one of the most promising frameworks to study high energy and condensed matter physics, has been mostly developed by perturbative methods. However, perturbative methods can only capture a small island of the space of QFTs.QFT i ...
EPFL2022Two-point functions and bootstrap applications in quantum field theories
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 ...
SPRINGER2022The S-matrix Bootstrap Reloaded
Quantum field theories (QFTs) are the backbone upon which the edifice of modern physics is built. In this thesis we explore the S-matrix bootstrap which is a non-perturbative method that constrains the vast space of QFTs by using consistency conditions tha ...
EPFL2021Nonperturbative Mellin Amplitudes
Conformal field theory lies at the heart of two central topics in theoretical high energy physics: the study of quantum gravity and the mapping of quantum field theories through the renormalization group. In this thesis we explore a technique to study conf ...
EPFL2021Hamiltonian truncation in Anti-de Sitter spacetime
Marco Meineri, Kamran Salehi Vaziri, Matthijs Jan Hogervorst
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 work, we develop a Hamiltonian truncation method to compute the energy spectrum ...
SPRINGER2021Gauge Equivariant Neural Networks for Quantum Lattice Gauge Theories
Gauge symmetries play a key role in physics appearing in areas such as quantum field theories of the fundamental particles and emergent degrees of freedom in quantum materials. Motivated by the desire to efficiently simulate many-body quantum systems with ...
AMER PHYSICAL SOC2021