Conveners
Vacuum structure and confinement
- Ivan Horvath
Vacuum structure and confinement
- There are no conveners in this block
Vacuum structure and confinement
- There are no conveners in this block
We study the profile of the flux tube in non-Abelian gauge theories in the confined phase, 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 the confined...
I revisit the proposal that colour confinement in non-Abelian gauge theories is related to the dynamics of Abelian magnetic monopoles using methods derived from Topological Data Analysis, which provide a mathematically rigorous characterisation of topological properties of fields defined on a lattice. After introducing homology, I shall discuss how this concept can be used to quantitatively...
The extraction of the static quark-antiquark potential from lattice QCD suffers from the poor signal-to-noise ratio of Wilson loops at large Euclidean times. To overcome this, smearing methods or the Coulomb gauge are used to improve the ground-state overlap with respect to the straight Wilson line trial state within the Wilson loop. We introduce a neural-network parametrization of trial...
We study the problem of defining and computing entanglement entropy in lattice gauge systems using a dual loop formulation. The main idea is to apply a sequence of canonical transformations that rewrite the standard link variables of $SU(2)$ and $U(1)$ lattice gauge theories in terms of the loop variables. This allows an easier handling of gauge-invariant degrees of freedom and gives a cleaner...
It has been predicted that the CP symmetry of the 4D SU(3) Yang-Mills theory at $\theta = \pi$ is spontaneously broken in the confined phase, and it is recovered precisely at the deconfining temperature.
The direct simulation of the theory at $\theta = \pi$ is, however, difficult due to the sign problem.
Thus, we simulate the theory with an imaginary theta parameter and perform analytic...
We report on the continued efforts to measure the glueball and meson spectra of Yang-Mills lattice gauge theories based on the gauge group $SU(N_c)$ in the t’Hooft limit.
We employ a multilevel sampling algorithm to measure glueball correlators to reduce statistical noise in the large time separation limit. The gluon operator basis is composed of spatial Wilson loop with vanishing momentum...
We propose a novel approach to directly simulate the 't Hooft partition function and revisit the (de)confining phase structure of an $SU(N)$ gauge theory with the $\mathbb{Z}_N$ $1$-form symmetry. We develop a hybrid Monte Carlo algorithm (the halfway HMC) for the $SU(N)/\mathbb{Z}_N$ gauge theory. The usual partition function $\mathcal{Z}[B]$ with 't Hooft flux $B$ can be numerically computed...
I will present new non-perturbative results about the meson spectrum and the low-energy constants of QCD in the 't Hooft large-$N$ limit, $N \to \infty$ with $N_{\rm f}/N \to 0$. These are obtained from lattice Monte Carlo simulations of the Twisted Eguchi-Kawai (TEK) model up to $N=841$.
More precisely, I will discuss the determination of radial Regge trajectories in the $\pi$ and $\rho$...
