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We discuss homogeneous and isotropic cosmological models driven by SU(2) gauge fields in the framework of Einstein gravity. There exists a Yang-Mills field configuration, parametrized by a single scalar function, which consists of parallel…

高能物理 - 理论 · 物理学 2015-06-03 D. V. Gal'tsov , E. A. Davydov

The effective average action of Yang-Mills theory is analyzed in the framework of exact renormalization group flow equations. Employing the background-field method and using a cutoff that is adjusted to the spectral flow, the running of the…

高能物理 - 理论 · 物理学 2009-11-07 Holger Gies

We consider a U(2) Yang-Mills theory on M x S_F^2 where M is an arbitrary noncommutative manifold and S_F^2 is a fuzzy sphere spontaneously generated from a noncommutative U(N) Yang-Mills theory on M, coupled to a triplet of scalars in the…

高能物理 - 理论 · 物理学 2010-11-19 Seckin Kurkcuoglu

Non-perturbative aspects of the physics of $Sp(2N)$ gauge theories are interesting for phenomenological and theoretical reasons, and little studied so far, particularly in the approach to the large-$N$ limit. We examine the spectrum of…

We derive a topological action that describes the confining phase of (Super-)Yang-Mills theories with gauge group $SU(N)$, similar to the work recently carried out by Seiberg and collaborators. It encodes all the Aharonov-Bohm phases of the…

高能物理 - 理论 · 物理学 2014-11-19 Markus Dierigl , Alexander Pritzel

We consider mixed configurations consisting of a wormhole filled by a strongly magnetized isotropic or anisotropic neutron fluid. The nontrivial topology of the spacetime is allowed by the presence of exotic matter. By comparing these…

广义相对论与量子宇宙学 · 物理学 2015-04-10 Ascar Aringazin , Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz

We propose a systematic way of finding solutions to classical Yang-Mills equation with nontrivial topology. This approach is based on one of Wightman axioms for quantum field theory, which is referred to as form invariance condition in this…

高能物理 - 理论 · 物理学 2021-07-02 Jun Nian , Yachao Qian

We study the gradient flow lines of a Yang-Mills-type functional on the space of gauged holomorphic maps $\mathcal{H}(P,X)$, where $P$ is a principal bundle on a Riemann surface $\Sigma$ and $X$ is a K\"ahler Hamiltonian $G$-manifold. For…

微分几何 · 数学 2016-12-05 Sushmita Venugopalan

A connection modulo gauge symmetry on the trivial principal bundle $M\times G$ is a morphism from the loop group of $M$ into $G$. Thus, considering only loops around the 2-cells of a distinguished family of progressively refined cellular…

数学物理 · 物理学 2020-01-08 Rodrigo Vargas Le-Bert

We give a comparison of the spectrum of Yang-Mills theory in $D=3+1$, recently derived with a strong coupling expansion, with lattice data. We verify excellent agreement also for 2$^{++}$ glueball. A deep analogy with the $D=2+1$ case is…

高能物理 - 理论 · 物理学 2007-06-28 Marco Frasca

We compute expectation values of Wilson loops in q-deformed 2d Yang-Mills on a Riemann surface and show that they give invariants of knots in 3-manifolds which are circle bundles over the Riemann surface. The areas of the loops play an…

高能物理 - 理论 · 物理学 2008-11-26 Sebastian de Haro

The classical action for pure Yang--Mills gauge theory can be formulated as a deformation of the topological $BF$ theory where, beside the two-form field $B$, one has to add one extra-field $\eta$ given by a one-form which transforms as the…

高能物理 - 理论 · 物理学 2008-11-26 A. S. Cattaneo , P. Cotta-Ramusino , F. Fucito , M. Martellini , M. Rinaldi , A. Tanzini , M. Zeni

We investigate the $(2+1)$-dimensional $q$-deformed $\mathrm{SU}(N)_k$ Yang-Mills theory in the lattice Hamiltonian formalism, which is characterized by three parameters: the number of colors $N$, the coupling constant $g$, and the level…

高能物理 - 格点 · 物理学 2026-01-08 Tomoya Hayata , Yoshimasa Hidaka , Hiromasa Watanabe

The vortex picture of confinement is studied. The deconfinement phase transition is explained as a transition from a phase in which vortices percolate to a phase of small vortices. Lattice results are presented in support of this scenario.…

高能物理 - 理论 · 物理学 2009-10-31 H. Reinhardt , M. Engelhardt , K. Langfeld , M. Quandt , A. Sch"afke

We derive a new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge. The flow equations for the static gluon and ghost propagators are solved under the assumption of ghost dominance within different…

高能物理 - 理论 · 物理学 2011-02-02 Markus Leder , Jan M. Pawlowski , Hugo Reinhardt , Axel Weber

We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables. These variables are appropriate for describing the theory in its infrared limit, and indicate that it admits knotlike configurations as stable solitons. As a…

高能物理 - 理论 · 物理学 2009-10-31 Ludvig Faddeev , Antti J. Niemi

This work deals with lump-like structures in models described by a single real scalar field in two-dimensional spacetime. We start with a model that supports lump-like configurations and use the deformation procedure to construct scalar…

高能物理 - 理论 · 物理学 2018-07-06 D. Bazeia , L. Losano , Gonzalo J. Olmo

A nonlinear vector supersymmetry for three-dimensional topological massive Yang-Mills is obtained by making use of a nonlinear but local and covariant redefinition of the gauge field.

高能物理 - 理论 · 物理学 2010-02-05 C. A. G. Sasaki , D. G. G. Sasaki , S. P. Sorella

The dynamics of the glueballs is important in the context of the experimental search as well as for understanding the non-Abelian gauge theory. The glueballs of the dark $SU(N_c)$ Yang-Mills theory are also good candidates of dark matter.…

高能物理 - 格点 · 物理学 2022-06-28 Nodoka Yamanaka , Atsushi Nakamura , Masayuki Wakayama

We make a systematic development of the non-Abelian formulation of two-form gauge fields with topological coupling with the Yang-Mills one-form connection. An analysis of the gauge structure, reducibility conditions and physical degrees of…

高能物理 - 理论 · 物理学 2007-05-23 R. Amorim , J. Barcelos-Neto