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The vacuum structure of N=2 (and N=4) SUSY Yang-Mills theory is analyzed in detail by considering the effective potential for constant background scalar- magnetic fields within different approximations. We compare the one-loop approximation…

High Energy Physics - Theory · Physics 2016-08-25 D. G. C. McKeon , I. Sachs , I. A. Shovkovy

We establish a mass gap, prove the existence of a unique infinite volume limit, and give a new proof of the large $N$ limit for $\mathrm{U}(N)$ lattice Yang-Mills theory in the 't Hooft regime. These results were previously obtained for…

Probability · Mathematics 2025-10-28 Ron Nissim

When the multiplicities of particles produced in heavy-ion collisions are fitted to the hadron-resonance-gas model, excluded-volume effects play a significant role. In this work, we study the impact of such effects on the equation of state…

High Energy Physics - Lattice · Physics 2017-06-01 Paolo Alba , Wanda Maria Alberico , Alessandro Nada , Marco Panero , Horst Stöcker

Faddeev and Niemi have proposed a reformulation of SU(2) Yang-Mills theory in terms of new variables, appropriate for describing the theory in its infrared limit based on the intuitive picture of colour confinement due to monopole…

High Energy Physics - Theory · Physics 2007-05-23 Vipul Periwal

By considering specific limits in the gauge coupling constant of pure Yang--Mills dynamics, it is shown how there exist topological quantum field theory sectors in such systems defining nonperturbative topological configurations of the…

High Energy Physics - Theory · Physics 2007-05-23 Jan Govaerts

The gradient flow method is a renormalization scheme in which the gauge field is flowed by the diffusion equation. The gradient flow scheme has benefits that the observables composed of flowed gauge fields do not require further…

High Energy Physics - Lattice · Physics 2025-01-31 Hironori Takei , Ken-Ichi Ishikawa , Masanori Okawa

Applying the static Yang-Mills Maxwell equations to a simple system of SU(2) charges with spherical symmetry and confining boundary conditions provides for a demonstration of the likelihood that the confinement mechanism in non-Abelian…

High Energy Physics - Phenomenology · Physics 2019-05-07 Dennis Sivers

We study the pure SU(3) gauge theory in 2+1 dimensions on the lattice using 't Hooft's twisted boundary conditions to force non-vanishing center flux through the finite volume. In this way we measure the free energy of spacelike center…

High Energy Physics - Lattice · Physics 2010-12-06 Nils Strodthoff , Sam R. Edwards , Lorenz von Smekal

We study the evolution of the coupling in SU(2) gauge field theory with $N_f=8$ fundamental fermion flavors on the lattice. This model is expected to have an infrared fixed point at high coupling. We use HEX-smeared Wilson-clover action,…

High Energy Physics - Lattice · Physics 2017-07-18 Viljami Leino , Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen

We discuss the renormalization group improved effective action and running surface couplings in curved spacetime with boundary. Using scalar self-interacting theory as an example, we study the influence of the boundary effects to effective…

High Energy Physics - Theory · Physics 2009-09-17 S. D. Odintsov , A. Wipf

A constraint correlation dynamics up to 4-point Green functions is proposed for SU(N) gauge theories which reduces the N-body quantum field problem to the two-body level. The resulting set of nonlinear coupled equations fulfills all…

Nuclear Theory · Physics 2015-06-26 S. J. Wang , W. Cassing , J. M. Haeuser , A. Peter , M. H. Thoma

The vortex picture of confinement is employed to explore the signals of confinement in Yang-Mills Green functions. By using SU(2) lattice gauge theory, it has been well established that the removal of the center vortices from the lattice…

High Energy Physics - Lattice · Physics 2009-11-10 Jochen Gattnar , Kurt Langfeld , Hugo Reinhardt

We study double-winding Wilson loops in $SU(N)$ lattice Yang-Mills gauge theory by using both strong coupling expansions and numerical simulations. First, we examine how the area law falloff of a ``coplanar'' double-winding Wilson loop…

High Energy Physics - Lattice · Physics 2020-12-30 Seikou Kato , Akihiro Shibata , Kei-Ichi Kondo

In U(1) lattice gauge theory in three spacetime dimensions, the problem of confinement can be studied analytically in a semi-classical approach, in terms of a gas of monopoles with Coulomb-like interactions. In addition, this theory can be…

High Energy Physics - Lattice · Physics 2015-01-27 Michele Caselle , Marco Panero , Roberto Pellegrini , Davide Vadacchino

We consider SU(N) lattice gauge theory at infinite N defined on a torus with a CP invariant twist. Massless fermions are incorporated in an elegant way, while keeping them quenched. We present some numerical results which suggest that…

High Energy Physics - Lattice · Physics 2008-11-26 A. Gonzalez-Arroyo , R. Narayanan , H. Neuberger

We have measured the running coupling constant of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions, using the Schrodinger functional scheme. Our lattice action is defined with hypercubic smeared links which,…

High Energy Physics - Lattice · Physics 2014-11-21 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We present preliminary results of the gradient flow running coupling with Dirichlet boundary condition in the SU(2) gauge theory with 8 fermion flavours. Improvements to the gradient flow measurement allow us to obtain a robust continuum…

High Energy Physics - Lattice · Physics 2014-11-19 Jarno Rantaharju , Tuomas Karavirta , Viljami Leino , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen

Perturbation theory is shown to be working in the IR limit of pure SU(3) Yang-Mills theory in Landau gauge by an unconventional setting of the perturbative expansion. A dynamical mass is predicted for the gluon and the lattice data are…

High Energy Physics - Phenomenology · Physics 2015-07-21 Fabio Siringo

We propose a new strategy for the determination of the step scaling function $\sigma(u)$ in finite size scaling studies using the Gradient Flow. In this approach the determination of $\sigma(u)$ is broken in two pieces: a change of the flow…

High Energy Physics - Lattice · Physics 2021-02-03 Alessandro Nada , Alberto Ramos

We study the classical dynamics of mechanical model obtained from the light-cone version of SU(2) Yang-Mills field theory under the supposition of gauge potential dependence only on ``time'' along the light-cone direction. The computer…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Gerdt , A. M. Khvedelidze , D. M. Mladenov
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