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An improved mapping of one-dimensional SU(2) non-Abelian gauge theory onto qubit degrees of freedom is presented. This new mapping allows for a reduced unphysical Hilbert space. Insensitivity to interactions within this unphysical space is…

量子物理 · 物理学 2020-04-29 Natalie Klco , Jesse R. Stryker , Martin J. Savage

We study decomposition of $SU(2)$ gauge field into monopole and monopoleless components. After fixing the Maximal Abelian gauge in $SU(2)$ lattice gauge theory we decompose the nonabelian gauge field into the Abelian field created by…

高能物理 - 格点 · 物理学 2022-04-13 V. G. Bornyakov , I. Kudrov , R. N. Rogalyov

It is shown that the quantum SU(3) gauge theory can be approximately reduced to U(1) gauge theory with broken gauge symmetry and interacting with scalar fields. The scalar fields are some approximation for 2 and 4-points Green's functions…

高能物理 - 唯象学 · 物理学 2007-05-23 Vladimir Dzhunushaliev

The concept of gauge field is a cornerstone of modern physics and the synthetic gauge field has emerged as a new way to manipulate particles in many disciplines. In optics, several schemes of Abelian synthetic gauge fields have been…

We construct a classical action for a system of $N$ point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and develop a quantum mechanics for them. Adopting the coherent state…

高能物理 - 理论 · 物理学 2009-10-22 Taejin Lee , Phillial Oh

We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge…

高能物理 - 理论 · 物理学 2009-11-07 Grigorii B. Pivovarov , James P. Vary

We discuss the properties of non-abelian gauge theories formulated on manifolds with compactified dimensions and in the presence of fermionic fields coupled to magnetic backgrounds. We show that different phases may emerge, corresponding to…

高能物理 - 格点 · 物理学 2017-05-03 Massimo D'Elia , Marco Mariti

The Hamiltonian describing 2D electron gas, in a spin-orbit active medium, can be cast into a consistent non-Abelian gauge field theory leading to a proper definition of the spin current. The generally advocated gauge symmetric version of…

超导电性 · 物理学 2012-09-25 Bertrand Berche , Ernesto Medina , Alexander López

After fixing the Maximal Abelian gauge in SU(2) lattice gauge theory we decompose the nonabelian gauge field into the so called monopole field and the modified nonabelian field with monopoles removed. We then calculate respective static…

高能物理 - 格点 · 物理学 2009-11-11 V. G. Bornyakov , M. I. Polikarpov , G. Schierholz , T. Suzuki , S. N. Syritsyn

Gauge theories, while describing fundamental interactions in nature, also emerge in a wide variety of physical systems. Abelian gauge fields have been predicted and observed in a number of novel quantum many-body systems, topological…

介观与纳米尺度物理 · 物理学 2016-06-02 T. Li , L. A. Yeoh , A. Srinivasan , O. Klochan , D. A. Ritchie , M. Y. Simmons , O. P. Sushkov , A. R Hamilton

We describe formally the precession of spin vector about the k-space effective magnetic field in condensed matter system with spin orbital effects as constituting a local transformation of the electron wavefunction which necessarily invokes…

量子物理 · 物理学 2013-04-04 S. G. Tan , M. B. A. Jalil , X. -J. Liu , T. Fujita

We establish a non-Abelian superconductivity and a non-Abelian Meissner effect by constructing an effective field theory of superconductivity in which a genuine SU(2) gauge symmetry governs the dynamics. We show that the magnetic flux is…

超导电性 · 物理学 2011-07-19 Y. M. Cho

This is the second paper concerning gauge-invariant coherent states for Loop Quantum Gravity. Here, we deal with the gauge group SU(2), this being a significant complication compared to the abelian U(1) case encountered in the previous…

广义相对论与量子宇宙学 · 物理学 2009-02-12 Benjamin Bahr , Thomas Thiemann

We find a relationship between unitary transformations of the dynamics of quantum systems with time-dependent Hamiltonians and gauge theories. In particular, we show that the nonrelativistic dynamics of spin-$\frac12$ particles in a…

量子物理 · 物理学 2009-10-31 Merced Montesinos , Abdel Pérez-Lorenzana

We introduce a gauge invariant topological definition of monopole charge in pure SU(2) gluodynamics. The non-trivial topology is provided by hedgehog configurations of the non-Abelian field strength tensor on the two-sphere surrounding the…

高能物理 - 格点 · 物理学 2007-05-23 F. V. Gubarev , V. I. Zakharov

We demonstrate electric-magnetic duality in N=1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long…

高能物理 - 理论 · 物理学 2009-07-09 N. Seiberg

We construct multimonopole solutions containing N-1 distinct fundamental monopoles in SU(N) gauge theory. When the gauge symmetry is spontaneously broken to U(1)^{N-1}, the monopoles are all massive, and we show that the fields can be…

高能物理 - 理论 · 物理学 2016-08-25 Erick J. Weinberg , Piljin Yi

The dual Meissner effect is observed without monopoles in quenched SU(2) QCD with Landau gauge-fixing. Abelian as well as non-Abelian electric fields are squeezed. Magnetic displacement currents which are time-dependent Abelian magnetic…

高能物理 - 格点 · 物理学 2009-11-10 Tsuneo Suzuki , Katsuya Ishiguro , Yoshihiro Mori , Toru Sekido

The magnetic order of the triangular lattice with antiferromagnetic interactions is described by an SO(3) field and allows for the presence of Z2 magnetic vortices as defects. In this work we show how these Z2 vortices can be fitted into a…

高能物理 - 理论 · 物理学 2015-12-23 Daniel Cabra , Gustavo S. Lozano , Fidel A. Schaposnik

This article provides some estimates for the relative sizes of the electric and magnetic contributions to the energy functional for the minimum energy configuration of an SU(2) gauge field on R^3 in the presence of an source in a fixed…

数学物理 · 物理学 2008-11-26 Clifford H. Taubes
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