Concept
Partition function (quantum field theory)
Publications associées (32)
Bootstrapping amplitudes of scalar particles
Quantum Field Theories are a central object of interest of modern physics, describing fundamental interactions of matter. However, current methods give limited insight into strongly coupling theories. S-matrix bootstrap program, described in this thesis, a ...
EPFL2024The ABCD of topological recursion
Kontsevich and Soibelman reformulated and slightly generalised the topological recursion of [43], seeing it as a quantisation of certain quadratic Lagrangians in T*V for some vector space V. KS topological recursion is a procedure which takes as initial da ...
San Diego2024Diagnosing weakly first-order phase transitions by coupling to order parameters
The hunt for exotic quantum phase transitions described by emergent fractionalized de-grees of freedom coupled to gauge fields requires a precise determination of the fixed point structure from the field theoretical side, and an extreme sensitivity to weak ...
2023Nonperturbative 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 ...
EPFL2023Hilbert series, the Higgs mechanism, and HEFT
We expand Hilbert series technologies in effective field theory for the inclusion of massive particles, enabling, among other things, the enumeration of operator bases for non-linearly realized gauge theories. We find that the Higgs mechanism is manifest a ...
SPRINGER2023Two-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 ...
SPRINGER2022Effective Field Theories for New and Old Physics
Effective Field Theories have changed our understanding of Quantum Field Theories. This thesis shows several applications of this powerful tool in the context of the Standard Model and for searches of New Physics.The thesis starts with a review of the Stan ...
EPFL2022Hamiltonian truncation in Anti-de Sitter spacetime
Kamran Salehi Vaziri, Marco Meineri, 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 ...
SPRINGER2021Nonperturbative 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 ...
EPFL2021