Conveners
Vacuum structure and confinement: TR6
- Biagio Lucini (Swansea University)
Vacuum structure and confinement: TR6
- Orlando Oliveira (University of Coimbra, Portugal)
Vacuum structure and confinement: TR7
- David Weir (University of Helsinki)
Vacuum structure and confinement: TR7
- Tamas G. Kovacs (Department of Physics and Astronomy, Eotvos University, Budapest)
We present the first lattice determination of the SUSY SU($N$) Yang–Mills gluino condensate at large $N$. We exploit large-$N$ twisted volume reduction, and present two determinations based on the Banks–Casher relation and on a Gell-Mann–Oakes–Renner-like formula, both giving perfectly compatible results. By expressing the lattice results in the Novikov–Shifman–Vainshtein–Zakharov (NSVZ)...
We study the Effective String Theory corrections beyond the Nambu-Got{\=o} action in SU(N) lattice gauge theories in 2 + 1 dimensions, for $N=3$ and $N=6$. We extract these corrections from a set of high-precision Monte Carlo simulations of Polyakov loop correlators at
finite temperatures close to the deconfinement transition. We also report an estimate for the SU(2) theory obtained from a...
We present our study on the 't Hooft anomalies for generalized symmetry of a chiral SU(6) gauge theory with selfconjugate representation.
This theory is interesting since it is found to realize chiral symmetry breaking without bilinear condensate having three-fold generate vacua, based on previous study of the mixed anomaly between the center symmetry and discrete chiral symmetry
by S....
We present preliminary results obtained using a new code for $SU(N_c)$ Yang-Mills theory which performs a 2-level sampling of glueball correlators obtained from a suitably chosen basis of (APE) smeared and unsmeared operators. The code builds loop operators of any shape and length and classifies them according to the irreducible representations of the cubic group. We report on the performances...
In this talk we will report on a study of the θ-dependence of the string tension and of the mass gap of four-dimensional SU(N) Yang-Mills theories. The spectrum at N=3 and N=6 was obtained on the lattice at various imaginary values of the θ parameter, using Parallel Tempering on Boundary Conditions to avoid topological freezing at fine lattice spacings. The coefficient of the O(θ^2) term in...
We investigate the possibility of the spontaneous breaking of CP symmetry in 4D SU(2) Yang-Mills at $\theta=\pi$, which has recently attracted much attention in the context of the higher-form symmetry and the 't Hooft anomaly matching condition. Here we provide a numerical evidence that the CP symmetry is indeed spontaneously broken at low temperature and it gets restored above the deconfining...
Quantum Chromodynamics admits a CP-violating contribution to the action, the $\theta$ term, which is expected to give rise to a nonvanishing electric dipole moment of the neutron. Despite intensive search, no CP violations have been found. This puzzle is referred to as the strong CP problem. In this talk I will show, on a dynamical basis, that CP is conserved in the strong interaction.
We present preliminary results for the scale setting of $\mathrm{SU}(N)$ Yang--Mills theories using twisted boundary conditions and the gradient-flow scale $\sqrt{t_0}$. The end goal of this study is to determine the $\mathrm{SU(N)}$ $\Lambda$-parameter through the step-scaling method. The scale $\sqrt{t_0}$, being defined from the flowed action density of the gauge fields, is correlated with...
We present results from an investigation of the $N$-dependency of the confined-deconfined interface tension in pure $SU(N)$ gauge theories at large $N$. By measuring the transverse fluctuations of the surface on large lattices, we determine the surface tension up to $N = 16$ and observe unambiguously that it scales as $N^2$. Our results show that in the continuum limit the surface tension can...
We report results obtained for SU(2) Yang-Mills theory on a 4d torus with two directions much smaller than the other two. The small 2-torus is equipped with twisted boundary conditions. This construction provides a way to interpolate from a region in which semiclassical methods can be applied (for small 2-torus size) to the standard infinite volume case. Our simulations at small torus sizes...
In this talk, we provide results for our first studies of Yang-Mills theory on a 4d torus with twisted boundary conditions. We show how information of the semiclassical confinement at small T^2 size is extracted. Different strategies to apply gradient flow techniques and instanton identifications are presented and discussed. We show how the identification becomes increasingly challenging once...
A characteristic signature of quark confinement is the concentration of the chromoelectric field between a static quark–antiquark pair in a flux tube.
Here we report on lattice measurements of field distributions on smeared Monte Carlo ensembles in QCD with (2+1) HISQ flavors. We measure the field distributions for several distances between static quark-antiquark sources, ranging from 0.6 fm...
The quest to develop an effective string theory capable of describing the confining flux-tube has been a longstanding objective within the theoretical physics community. Recent lattice results indicate that the low-lying spectrum of the flux-tube in both three and four dimensions can be partially described by the Nambu-Goto string with minor deviations. However, several excitation states...
In this talk we present a study of the flux tube in Yang-Mills theories with a particular focus on its intrinsic width.
In the Effective String Theory description of flux tubes, this quantity is typically neglected, since it has no measurable effects on the inter-quark static potential. However, it can be directly observed in the profile of the flux tube as a deviation from the expected...
We study entanglement entropy in SU(2) pure gauge theory due to the presence of static quarks in $d=2+1$. Using a replica approach we investigate the $q=2$ Renyi entropy across various partitions of space $A$ and $\bar{A}$. We use Polyakov lines to define the entanglement entropy associated with a quark pair in confinement, finding this entropy scales to a finite, uniquely defined, and...
We study the behaviour of the flux tube in the reconfined phase of the trace deformed $SU(2)$ Yang-Mills theory in (2+1) dimensions. In this phase the Polyakov loop has a vanishing expectation value (and center symmetry is recovered) even at high temperatures. We study, by means of numerical simulations, the confining potential between two Polyakov loops and show that its behaviour is very...
The four gluon one-particle irreducible Green function contributes to various quantities with phenomenological relevance. An example where the four gluon plays a role is the determination of the gluon propagator, a basic building block for QCD, using continuum methods. This four leg Green function is poorly known and we are only starting to grasp its non-perturbative structure. Here, we report...
Topological data analysis (TDA) is a powerful and flexible data analysis toolset that provides computational methods for extracting and quantifying non-local topological features in data. I will give an introduction to one of the main tools in TDA - persistent homology - with a view towards applications to lattice field theory configuration data. The input is a geometric data structure...
Compact $U(1)$ Lattice Gauge Theory is known to have a confinement phase that can be explained in terms of condensation of magnetic monopoles. In this talk, we shall explain how Topological Data Analysis (TDA) may be used to quantitatively analyse monopoles across the deconfinement phase transition of the model. We construct a cubical complex from monopole current networks and show that...
Techniques derived from topological data analysis have been recently explored to study non-perturbative phenomena in lattice field theories in which configurations with non-trivial topology are expected or conjectured to play a central role. In this talk, we apply methods of topological data analysis to the investigation of the behaviour of Abelian monopole currents (defined in the Maximal...
