Concept
Mass gap
Publications associées (25)
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 ...
EPFL2023Gapped Goldstones at the cut-off scale: a non-relativistic EFT
Riccardo Rattazzi, Alexander Monin, Angelo Esposito, Gabriel Francisco Cuomo
At finite density, the spontaneous breakdown of an internal non-Abelian symmetry dictates, along with gapless modes, modes whose gap is fixed by the algebra and proportional to the chemical potential: the gapped Goldstones. Generically the gap of these sta ...
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 ...
EPFL2021Bootstrapping massive quantum field theories
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 ...
SPRINGER2020Generalization of the Haldane conjecture to SU(n) chains
Recently, SU(3) chains in the symmetric and self-conjugate representations have been studied using field theory techniques. For certain representations, namely rank-psymmetric ones with pnot a multiple of 3, it was argued that the ground state exhibits gap ...
ELSEVIER2020Large charge, semiclassics and superfluids : from broken symmetries to conformal field theories
This thesis explores the application of semiclassical methods in the study of states with large quantum numbers for theories invariant under internal symmetries.
In the first part of the thesis, we study zero-temperature superfluids. These provide a gener ...
EPFL2020Gaplessness is not generic for translation-invariant spin chains
The existence of a spectral gap above the ground state has far-reaching consequences for the low-energy physics of a quantum many-body system. A recent work of Movassagh [R. Movassagh, Phys. Rev. Lett. 119, 220504 (2017)] shows that a spatially random loca ...
2019Walking, Weak first-order transitions, and Complex CFTs II. Two-dimensional Potts model at Q > 4
We study complex CFTs describing fixed points of the two-dimensional Q-state Potts model with Q > 4. Their existence is closely related to the weak first-order phase transition and the "walking" renormalization group (RG) behavior present in the real Potts ...
2018