We present results from an investigation of the $N$-dependency confined-deconfined interface tension and latent heat in pure SU($N$) gauge theory at large $N$. The is determined by measuring transverse fluctuations phase on lattices with coexisting confined deconfined phases. observe unambiguously that both scale as $N^2$

Spheromak type flux ropes are increasingly used for modelling coronal mass ejections (CMEs). Many models aim in accurately reconstructing the magnetic field topology of CMEs, considering its importance assessing their impact on modern technology and human activities space ground. However, so far there is little discussion about how details structure a spheromak affect evolution through ambient domain, what this has accuracy predictions. If axis symmetry (geometric axis) at an angle with...

A bstract construction of a gravity dual to physical gauge theory requires confronting data. We establish proof-of-concept for precision holography, i.e., the explicit reconstruction background metric functions directly from entanglement entropy (EE) strip subregions that we extract pure glue Yang-Mills discretized on lattice. Our main focus is three-dimensional Euclidean SU2 in deconfining phase. Holographic EE suggests, and find evidence for, scaling thermal with temperature power 7/3 it...

Inspired by self-adjoint extensions of the electric field operator in Hamiltonian formalism, we extend Wilsonian framework Abelian lattice gauge theory introducing a modified action parametrized an angle $\ensuremath{\alpha}$, where ordinary Wilson corresponds to $\ensuremath{\alpha}=0$. Choosing instead $\ensuremath{\alpha}=\ensuremath{\pi}$ (the ``staggered'' case) gives only other family which preserves all symmetries original model at microscopic level. We study case $3D$ $U(1)$ pure...

We present the first numerical study of ultraviolet dynamics nonasymptotically free gauge-fermion theories at large number matter fields. As test bed theories, we consider non-Abelian SU(2) gauge with 24 and 48 Dirac fermions on lattice. For these numbers flavors, asymptotic freedom is lost, are governed by a Gaussian fixed point low energies. In ultraviolet, they can develop physical cutoff therefore be trivial, or achieve an interacting safe fundamental all energy scales. demonstrate that...

The transition between the two phases of 4D Euclidean Dynamical Triangulation [1] was long believed to be second order until in 1996 first behavior found for sufficiently large systems [5, 9]. However, one may wonder if this finding affected by numerical methods used: control volume fluctuations, both studies 9] an artificial harmonic potential added action and [9] measurements were taken after a fixed number accepted instead attempted moves which introduces additional error. Finally...

We investigate the properties of half-filling point in lattice QCD (LQCD), particular disappearance sign problem and emergence an apparent particle-hole symmetry, try to understand where these come from by studying heavy-dense fermion determinant corresponding strong-coupling partition function (which can be integrated analytically). then add a first step effective Polyakov loop gauge action reproduces leading terms character expansion Wilson action) analyze how some change when leaving...

Using Monte Carlo simulations and extended mean field theory calculations we show that the 3-dimensional ℤ3 spin model with complex external fields has non-monotonic spatial correlators in some regions of its parameter space. This serves as a proxy for heavy-dense QCD (3 + 1) dimensions. Non-monotonic are intrinsically related to mass spectrum liquid-like (or crystalline) behavior. A liquid phase could have implications heavy-ion experiments, where it leave detectable signals correlations baryons.

The CP(N-1) model in 2D is an interesting toy for 4D QCD as it possesses confinement, asymptotic freedom and a non-trivial vacuum structure. Due to the lower dimensionality absence of fermions, computational cost simulating on lattice much than that QCD. However, our knowledge, no efficient algorithm has been tested so far, which also works at finite density. To this end we propose new type worm appropriate simulate dual, flux-variables based representation, introduction chemical potential...

Using the complex $\phi^4$-model as a prototype for system which is simulated by worm algorithm, we show that not only charged correlator $<\phi^{*}(x)\phi(y)>$, but also more general correlators such $<|\phi(x)||\phi(y)|>$ or $<\text{arg}(\phi(x))\text{arg}(\phi(y))>$, well condensates like $<|\phi|>$, can be measured at every step of Monte Carlo evolution instead on closed-worm configurations only. The method generalizes straightforwardly to other systems worms, spin sigma models.

The determination of entanglement measures in SU(N) gauge theories is a non-trivial task. With the so-called "replica trick", family measures, known as "Rényi entropies", can be determined with lattice Monte Carlo. Unfortunately, standard implementation replica method for suffers from severe signal-to-noise ratio problem, rendering high-precision studies Rényi entropies prohibitively expensive. In this work, we propose to overcome problem and show some first results 4 dimensions.

Coupling spin models to complex external fields can give rise interesting phenomena like zeroes of the partition function (Lee-Yang zeroes, edge singularities) or oscillating propagators. Unfortunately, it usually also leads a severe sign problem that be overcome only in special cases; if has is even representation-independent at these points. In this study, we couple N-state Potts model different ways magnetic field and discuss above mentioned their relations based on analytic calculations...

We present a numerical study of the spectrum an asymptotically nonfree SU(2) gauge theory with ${N}_{f}=24$ massive fermion flavors. For such large number flavors, asymptotic freedom is lost and massless governed by Gaussian fixed point at long distances. If fermions are they decouple low energy scales confining. scaling law for masses hadrons, glueballs string tension as functions mass. The hadrons become effectively heavy quark systems, approximately twice mass, whereas scale confinement,...

Entanglement entropy is a notoriously difficult quantity to compute in strongly interacting gauge theories. Existing lattice replica methods have suffered from severe signal-to-noise ratio problem, making high-precision studies prohibitively expensive. Our improved method mitigates this situation and allows us probe holographic predictions for the behavior of entanglement entropies three- four-dimensional Yang-Mills We use data numerical reconstruction bulk metrics.

SU(2) gauge theory with N_{f}=24 massless fermions is noninteracting at long distances, i.e., it has an infrared fixed point vanishing coupling. With massive fermions, the are expected to decouple energy scales below fermion mass, and behavior that of confining pure theory. We demonstrate this nonperturbatively lattice Monte Carlo simulations by measuring gradient flow running

We propose a flux representation based lattice formulation of the partition function corresponding to SU(2) principal chiral Lagrangian, including chemical potential and scalar/pseudo-scalar source terms.Lattice simulations are then used obtain non-perturbative properties theory, in particular its mass spectrum at zero non-zero pion density.We also sketch method efficiently measure general one-and two-point functions during worm updates.

Hybrid Monte Carlo (HMC) simulations of lattice gauge theories with fermionic matter rely on the invertibility Dirac operator. Near-zero modes latter can therefore significantly slow down update algorithm and cause instabilities. This is in particular a problem when dealing massless fermions. Homogeneous temporal Dirichlet boundary conditions be used to remove zero from operators, but standard implementation these severe finite-volume cutoff effects regions parameter space where physics at...

The Cayley-Hamilton theorem is used to implement an iterative process for the efficient numerical computation of matrix power series and their differentials. In addition straight-forward applications in lattice gauge theory simulations e.g. reduce computational cost smearing, method can also be simplify evaluation SU(N) one-link integrals or logarithms.

Coronal mass ejections (CMEs) are complex magnetized plasma structures in which the magnetic field spirals around a central axis, forming what is known as flux rope (FR). The FR axis can be oriented at any angle to ecliptic. Throughout its journey, CME will encounter interplanetary and solar wind neither homogeneous nor isotropic. Consequently, CMEs with different orientations ambient medium conditions and, thus, interaction of surrounding environment vary depending on orientation among...

Abstract Coronal mass ejections (CMEs) are complex magnetized plasma structures in which the magnetic field spirals around a central axis, forming what is known as flux rope (FR). The FR axis can be oriented at any angle with respect to ecliptic. Throughout its journey, CME will encounter interplanetary fields and solar winds that neither homogeneous nor isotropic. Consequently, CMEs different orientations ambient medium conditions and, thus, interaction of surrounding environment vary...

The transition between the two phases of 4D Euclidean Dynamical Triangulation [1] was long believed to be second order until in 1996 first behavior found for sufficiently large systems [3,4].However, one may wonder if this finding affected by numerical methods used: control volume fluctuations, both studies [3,4] an artificial harmonic potential added action; [4] measurements were taken after a fixed number accepted instead attempted moves which introduces additional error.Finally...