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In an Abelian projection SU(2) gluodynamics contains Abelian gauge fields (diagonal degrees of freedom) and Abelian matter fields (off-diagonal degrees). The matter fields are essential for the breaking of the adjoint string. We obtain…

高能物理 - 格点 · 物理学 2009-11-10 Koichi Hashimoto , M. N. Chernodub , Tsuneo Suzuki

We consider properties of confining strings in 2+1 dimensional SU(2) nonabelian gauge theory with the Higgs field in adjoint representation. The analysis is carried out in the context of effective dual Lagrangian which describes the…

高能物理 - 理论 · 物理学 2010-02-03 Alex Kovner , Baruch Rosenstein

Starting from SU(2) Yang-Mills theory in 3+1 dimensions, we prove that the abelian-projected effective gauge theories are written in terms of the maximal abelian gauge field and the dual abelian gauge field interacting with monopole…

高能物理 - 理论 · 物理学 2009-10-30 Kei-ichi Kondo

Yang-Mills theory is studied in a variant of 't Hooft's maximal Abelian gauge. In this gauge magnetic monopoles arise in the Abelian magnetic field. We show, however, that the full (non-Abelian) magnetic field does not possess any…

高能物理 - 理论 · 物理学 2007-05-23 K. Langfeld , H. Reinhardt , M. Quandt

In earlier work, we used a gauge independent Abelian Decomposition to show that Abelian degrees of freedom are wholly responsible for the static quark potential. The restricted Abelian field can be split into two terms, a Maxwell term and a…

高能物理 - 格点 · 物理学 2016-11-01 Nigel Cundy

We compute the static potential in three-dimensional SU(2) Yang Mills Theory with adjoint sources using numerical simulations. By employing a variational approach involving string and gluelump operators, we obtain clear evidence for string…

高能物理 - 格点 · 物理学 2009-10-31 Owe Philipsen , Hartmut Wittig

We derive an effective Abelian gauge theory (EAGT) of a modified SU(2) Yang-Mills theory. The modification is made by explicitly introducing mass terms of the off-diagonal gluon fields into pure SU(2) Yang-Mills theory, in order that…

高能物理 - 理论 · 物理学 2009-11-10 Shinichi Deguchi , Yousuke Kokubo

The problem of identifying the dynamical degrees of freedom for SU(2) gauge theories is discussed. After studying SU(N) theories, it is shown that classical pure SU(2) gauge theory is equivalent to an abelian theory. Finally, we prove that…

高能物理 - 理论 · 物理学 2007-05-23 O. Oliveira

We investigate Abelian and monopole contributions to spatial string tension in the deconfined phase of finite temperature SU(2) gauge theory without imposing any gauge fixing conditions. Lattice calculations of non-Abelian and Abelian…

高能物理 - 格点 · 物理学 2016-12-07 Takashige Sekiguchi , Katsuya Ishiguro

We explore further the Hamiltonian formulation of Yang-Mills theory in 2+1 dimensions in terms of gauge-invariant matrix variables. Coupling to scalar matter fields is discussed in terms of gauge-invariant fields. We analyze how the…

高能物理 - 理论 · 物理学 2008-11-26 Abhishek Agarwal , Dimitra Karabali , V. P. Nair

We compute the static potential of adjoint sources in SU(2) Yang-Mills theory in four dimensions by numerical Monte Carlo simulations. Following a recent calculation in 2+1 dimensions, we employ a variational approach involving string and…

高能物理 - 格点 · 物理学 2011-05-05 Ph. de Forcrand , O. Philipsen

We present a reformulation of SU(2) Yang-Mills theory in the maximal Abelian gauge, where the non-Abelian gauge field components are exactly integrated out at the expense of a new Abelian tensor field. The latter can be treated in a…

高能物理 - 理论 · 物理学 2009-10-30 M. Quandt , H. Reinhardt

The string breaking is discussed in U(1)^{N-1} Abelian effective theories of QCD. When a screening is expected, the static potential shows a flattening in the long-range region and a linear behavior in the intermediate region. We show why…

高能物理 - 格点 · 物理学 2007-05-23 M. N. Chernodub , T. Suzuki

Certain properties of maximal abelian projection are derived which suggest that the fundamental and adjoint SU(2) string tensions are reproduced by singly and doubly charged abelian Wilson loops, respectively. Thus, abelian dominance, which…

高能物理 - 格点 · 物理学 2014-11-17 Grigorios I. Poulis

We address the issue of the all order multiplicative renormalizability of SU(2) Yang-Mills theories quantized in the maximal Abelian gauge in presence of scalar matter fields. The non-linear character of the maximal Abelian gauge requires…

高能物理 - 理论 · 物理学 2015-06-10 M. A. L. Capri , D. Fiorentini , S. P. Sorella

Gauge theory is the foundation of the particle physics Standard Model (SM). Considering the multiple gauge sectors for one gauge transformation, we study the generalized Abelian and non-Abelian (Yang-Mills theory) gauge theories. We first…

高能物理 - 唯象学 · 物理学 2018-08-15 Tianjun Li

Chiral symmetry breaking parameters are calculated in quenched SU(2) gauge theory and with Abelian gauge fields projected in maximal Abelian gauge and in field strength gauge. Maximal Abelian gauge projected fields lead to chiral condensate…

高能物理 - 格点 · 物理学 2016-08-31 R. M. Woloshyn

A general procedure to reveal an Abelian structure of Yang-Mills theories by means of a (nonlocal) change of variables, rather than by gauge fixing, in the space of connections is proposed. The Abelian gauge group is isomorphic to the…

高能物理 - 理论 · 物理学 2009-10-31 Sergei V. Shabanov

We show that the QCD vacuum (without dynamical quarks) is a dual superconductor at least in the low-energy region in the sense that monopole condensation does really occur. In fact, we derive the dual Ginzburg-Landau theory (i.e., dual…

高能物理 - 理论 · 物理学 2007-05-23 Kei-Ichi Kondo

We present clear numerical evidence for string breaking in three-dimensional SU(2) gauge theory with fundamental bosonic matter through a mixing analysis between Wilson loops and meson operators representing bound states of a static source…

高能物理 - 格点 · 物理学 2009-10-31 O. Philipsen , H. Wittig
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