Concept
Mean-field theory
Related publications (148)
Flux correlators and semiclassics
Riccardo Rattazzi, Alexander Monin, Eren Clément Firat, Matthew Thomas Walters
We consider correlators for the flux of energy and charge in the background of operators with large global U(1) charge in conformal field theory (CFT). It has recently been shown that the corresponding Euclidean correlators generically admit a semiclassica ...
Springer2024Nonperturbative 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 ...
EPFL2023Bootstrapping traceless symmetric O(N) scalars
Alessandro Vichi, Maria Refinetti, Marten Jan Reehorst
We use numerical bootstrap techniques to study correlation functions of traceless sym-metric tensors of O(N) with two indices ti j. We obtain upper bounds on operator dimen-sions for all the relevant representations and several values of N. We discover sev ...
SCIPOST FOUNDATION2023The autoregressive neural network architecture of the Boltzmann distribution of pairwise interacting spins systems
Autoregressive Neural Networks (ARNNs) have shown exceptional results in generation tasks across image, language, and scientific domains. Despite their success, ARNN architectures often operate as black boxes without a clear connection to underlying physic ...
Berlin2023Spin, Charge, and ?-Spin Separation in One-Dimensional Photodoped Mott Insulators
We show that effectively cold metastable states in one-dimensional photodoped Mott insulators described by the extended Hubbard model exhibit spin, charge, and q-spin separation. Their wave functions in the large on-site Coulomb interaction limit can be ex ...
AMER PHYSICAL SOC2023Geometric Percolation of Spherically Symmetric Fractal Aggregates
The connectedness percolation threshold (phi(c)) for spherically symmetric, randomly distributed fractal aggregates is investigated as a function of the fractal dimension (d(F)) of the aggregates through a mean-field approach. A pair of aggregates (each of ...
SPRINGER2022From SU(2)5 to SU(2)3 Wess-Zumino-Witten transitions in a frustrated spin-52 chain
Frédéric Mila, Natalia Chepiga
We investigate the properties of a frustrated spin-5/2 chain with next-nearest-neighbor two- and three-site interactions, with two questions in mind: the nature of the transition into the dimerized phase induced by the three-site interaction, and the possi ...
AMER PHYSICAL SOC2022Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure
Critical statistical mechanics and Conformal Field Theory (CFT) are conjecturally connected since the seminal work of Beliavin et al. (Nucl Phys B 241(2):333-380, 1984). Both exhibit exactly solvable structures in two dimensions. A long-standing question ( ...
SPRINGER2022