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We study the confinement phase transition in $SU(2)$ Yang-Mills theory, based on a statistical ensemble model of correlated instanton-dyons. We show for the first time that such a model provides a quantitative description, in light of the…

High Energy Physics - Phenomenology · Physics 2019-06-24 Miguel Angel Lopez-Ruiz , Yin Jiang , Jinfeng Liao

We study the vacuum structure and dyon spectrum of N=2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical properties which can nonetheless be described…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten

We measure the free energies in SU(2) of static fundamental charges and center monopoles. Dual to temporal center fluxes, the former provide a well-defined (dis)order parameter for deconfinement. In contrast, the monopole free energies…

High Energy Physics - Lattice · Physics 2009-11-07 Lorenz von Smekal , with Philippe de Forcrand

With SU(3) gauge Higgs theory as an example, we examine critically the idea that the confinement property in an SU(N) gauge-Higgs theory, with the Higgs field in the fundamental representation, persists in an unbroken SU(N-1) subgroup.

High Energy Physics - Lattice · Physics 2023-10-03 Jeff Greensite , Hou Y. Yau

A model for the infrared sector of SU(2) Yang-Mills theory, based on magnetic vortex degrees of freedom represented by (closed) random world-surfaces, is presented. The model quantitatively describes both the confinement properties…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Engelhardt

Euclidean strong coupling expansion of the partition function is applied to lattice Yang-Mills theory at finite temperature, i.e. for lattices with a compactified temporal direction. The expansions have a finite radius of convergence and…

High Energy Physics - Lattice · Physics 2010-12-23 J. Langelage , G. Münster , O. Philipsen

The thermal confinement phase transition (PT) in $SU(N)$ Yang-Mills theory is first-order for $N\geq 3$, with bounce action scaling as $N^2$. Remarkably, lattice data for the action include a small coefficient whose presence likely strongly…

High Energy Physics - Phenomenology · Physics 2026-02-02 Prateek Agrawal , Gaurang Ramakant Kane , Vazha Loladze , John March-Russell

Drawing on the parallel between general relativity and Yang-Mills theory we obtain an exact Schwarzschild-like solution for SU(2) gauge fields coupled to a massless scalar field. Pushing the analogy further we speculate that this classical…

High Energy Physics - Theory · Physics 2010-11-19 Douglas Singleton

In axiomatic quantum field theory, the postulate of the uniqueness of the vacuum (a pure vacuum state) is independent of the other axioms and equivalent to the cluster decomposition property. The latter, however, implies a Coulomb or Yukawa…

High Energy Physics - Theory · Physics 2023-09-21 Dimitrios Metaxas

The question whether the center vortex picture of the strongly interacting vacuum can encompass the infrared dynamics of both SU(2) as well as Sp(2) Yang-Mills theory is addressed. These two theories contain the same center vortex degrees…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , B. Sperisen

We study a model of four reduced staggered fields transforming in the bifundamental representation of a $SU(2)\times SU(2)$ symmetry group where just one of the SU(2) factors is gauged. This field content and symmetries are similar to a…

High Energy Physics - Lattice · Physics 2018-11-05 Nouman Butt , Simon Catterall

We consider chiral condensates in SU(2) gauge theory with broken N=2 supersymmetry. The matter sector contains an adjoint multiplet and one fundamental flavor. Matter and gaugino condensates are determined by integrating out the adjoint…

High Energy Physics - Theory · Physics 2009-10-31 A. Gorsky , A. Vainshtein , A. Yung

A four-dimensional ${\rm SU}(4)$ confining Yang-Mills field, coupled to a fundamental fermion field and a bi-fundamental scalar field, has excitations with spin-2, but no other quantum numbers. These spin-2 excitations can be light or can…

High Energy Physics - Theory · Physics 2021-01-08 Peter Orland

We give new descriptions of lattice SU(N) Yang-Mills theory in terms of new lattice variables. The validity of such descriptions has already been demonstrated in the SU(2) Yang-Mills theory by our previous works from the viewpoint of…

High Energy Physics - Lattice · Physics 2008-11-26 K. -I. Kondo , A. Shibata , T. Shinohara , T. Murakami , S. Kato , S. Ito

The Yang-Mills description of phonons and the consequent structure of electron liquids in strongly anharmonic crystals such as metal oxides is shown to yield an attractive electron-phonon interaction, and thus an instability towards the…

Superconductivity · Physics 2018-10-30 Jamie M. Booth

We study various entanglement measures in a one-parameter family of three-dimensional, strongly coupled Yang-Mills-Chern-Simons field theories by means of their dual supergravity descriptions. A generic field theory in this family possesses…

High Energy Physics - Theory · Physics 2021-03-17 Niko Jokela , Javier G. Subils

Recently lattice simulation in pure Yang-Mills theory exposes significant quadratic corrections for both the thermodynamic quantities and the renormalized Polyakov loop in the deconfined phase. These terms are previously found to appear…

High Energy Physics - Theory · Physics 2015-05-11 Fen Zuo , Yi-Hong Gao

We analyze the leading Lyapunov exponents of SU(2) Yang-Mills field configurations on the lattice which are initialized by quantum Monte Carlo simulations. We find that configurations in the strong coupling phase at finite temperature are…

High Energy Physics - Lattice · Physics 2022-02-23 Tamas S. Biro , Markus Feurstein , Harald Markum

Retaining only the `timelike' component $A_0$ of the vector potential a skelet model with explicit global center symmetry is constructed for $SU(2)$ Yang-Mills theory. It is shown that the $A_0$ gluon vacuum is equivalent with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Sailer

A random vortex world-surface model for the infrared sector of Sp(2) Yang-Mills theory is constructed. The Sp(2) gauge group, while allowing for the same set of center vortex fluxes as the SU(2) gauge group, induces a significantly…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , B. Sperisen