I will examine Abrikosov–Nielsen–Olesen (ANO) vortex strings in variants of Abelian Higgs models. In the large flux limit, the equations governing them simplify, and the resulting giant strings realize two sharply distinct phases. I will explore qualitative features of these strings and identify patterns in their physical properties. I'll also discuss the spectrum of small fluctuations and the...
Lattice systems, when tuned to criticality, exhibit long-range fluctuations that are sensitive to the geometry in which they are confined. The critical Casimir amplitude encodes universal information on this behavior, and it is part of the CFT data at finite temperature. Predicting this quantity in models with O(N) symmetry would have a broad range of applications, from high-energy physics to...
When the 4d $SU(N)$ Yang-Mills theory is put on $\mathbb{R}^2\times T^2$ with a nontrivial 't Hooft flux, qualitative features of confinement can be semiclassically described as the gas of center-vortex fractional instantons. We study the condition for the large-$N$ adiabatic continuity via a suitable choice of the $N$-dependent 't Hooft flux from the viewpoint of both $0$-form and $1$-form...
We discuss various avatars of GW relations in the Hamiltonian approach.
I will describe the potential role of D-branes in the characterization of the String Theories dual to a given gauge theory. I will discuss examples in 2d CFTs, Chern-Simons theory and vector models, as well as potential targets for numerical simulation.
In this blackboard talk I will review the formalism of effective string theory and its generic predictions, and why it breaks down in theories like QED_3 (in UV completions that lead to confinement), for which the mass gap is well below the scale of the confining string tension. A similar breakdown appears for solitonic strings. I will then describe an alternative method to perform...
I will talk about fracton topological phases (and fracton-like phases) which have quasi-particle excitation like anyons with mobility constraints. It has recently attracted interests in the context of condensed matter physics, quantum information and high energy physics. From condensed matter viewpoint, it describes exotic properties of matter which may be realized in future. From quantum...
We study the profile of the flux tube in non-Abelian gauge theories in the confined phase in 2+1 dimensions, by means of precise lattice numerical simulations. We observe a non-Gaussian profile with prominent exponentially decaying tails. From the characteristic decay length length, we extract the intrinsic width of the flux tube. We compute this scale at different values of the temperature in...
In recent years, flow-based samplers have emerged as a promising alternative to traditional sampling methods in lattice field theory. In this talk, I will introduce a class of flow-based samplers known as Stochastic Normalizing Flows (SNFs), which combine neural networks with non-equilibrium Monte Carlo algorithms. I will then show that SNFs exhibit excellent scaling with volume in lattice...
I'll discuss how the Nielsen-Ninomiya no-go theorem fits with recent bosonization-inspired lattice discretizations that preserve exact continuous chiral and vector symmetry.
Motivated by recent literature on the possible existence of a second higher-temperature phase transition in Quantum Chromodynamics (QCD), I revisit the proposal that colour confinement is related to the dynamics of magnetic monopoles using methods derived from Topological Data Analysis, which provide a mathematically rigorous characterisation of topological properties of quantities defined on...
Machine learning methods are ubiquitous by now. The NNPDF collaboraton has used Neural Networks for many years to extract Parton Distribution Functions (PDFs) from experimental data. A quantitative understanding of the trainig process is now mandatory for precision results for the LHC. We discuss recent progress in modelling the training process and present some potential applications.