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We find both analytical and numerical solutions of SU(2) Yang-Mills with an adjoint Higgs field within both closed and open tubes whose sections are spherical caps. This geometry admits a smooth limit in which the space-like metric is flat…

High Energy Physics - Theory · Physics 2015-06-22 Fabrizio Canfora , Gianni Tallarita

We theoretically analyse a long constriction between the helical edge states of a two-dimensional topological insulator. The constriction is laterally tunnel-coupled to two superconductors and a magnetic field is applied perpendicularly to…

Mesoscale and Nanoscale Physics · Physics 2022-05-17 Lucia Vigliotti , Alessio Calzona , Björn Trauzettel , Maura Sassetti , Niccolò Traverso Ziani

Numerical data for the SU(2) confining string in the maximal abelian projection are analysed. The distribution of the electric flux and monopole currents are perfectly described by the classical equations of motion for the dual Abelian…

High Energy Physics - Lattice · Physics 2009-10-31 F. V. Gubarev , E. -M. Ilgenfritz , M. I. Polikarpov , T. Suzuki

It is demonstrated that monopole condensation in the confined phase of SU(2) and SU(3) gauge theories is independent of the specific Abelian projection used to define the monopoles. Hence the dual excitations which condense in the vacuum to…

High Energy Physics - Lattice · Physics 2008-11-26 J. M. Carmona , M. D'Elia , A. Di Giacomo , B. Lucini , G. Paffuti

We study the continuum limit of the length spectrum of magnetic monopole structures found after various Abelian projections of pure gauge SU(2), including the maximally Abelian gauge. We comment on Gribov copies, and measurements of the…

High Energy Physics - Lattice · Physics 2009-10-28 A. Hart , M. Teper

Magnetic monopoles are hypothesised elementary particles connected by Dirac strings that behave like infinitely thin solenoids. Despite decades of searches, free magnetic monopoles and their Dirac strings have eluded experimental detection,…

We consider the partially-deconfined saddle of large-$N$ pure Yang-Mills theory lying between confined and deconfined phases, in which the color degrees of freedom split into confined and deconfined sectors. Based on the microscopic…

High Energy Physics - Theory · Physics 2023-04-12 Vaibhav Gautam , Masanori Hanada , Jack Holden , Enrico Rinaldi

We investigate collective excitations coupled with monopole and quadrupole oscillations in two-component fermion condensates in deformed traps. The frequencies of monopole and dipole modes are calculated using Thomas-Fermi theory and the…

Other Condensed Matter · Physics 2015-06-25 Tomoyuki Maruyama , Takushi Nishimura

The infinite Heisenberg XXZ spin-(1/2) chain in the gapped antiferromagnetic regime has two degenerate vacua and kink topological excitations (which are also called spinons) interpolating between these vacua as elementary excitations.…

Strongly Correlated Electrons · Physics 2022-10-17 S. B. Rutkevich

There has been substantial progress in understanding confinement in a class of four-dimensional SU(N) gauge theories using semiclassical methods. These models have one or more compact directions, and much of the analysis is based on the…

High Energy Physics - Theory · Physics 2014-10-08 Michael C. Ogilvie

Performing highly precise Monte-Carlo simulations of SU(2) gluodynamics, we observe for the first time Abelian dominance in the confining part of the static potential in local unitary gauges such as the F12 gauge. We also study the…

High Energy Physics - Lattice · Physics 2008-11-26 Toru Sekido , Katsuya Ishiguro , Yoshiaki Koma , Yoshihiro Mori , Tsuneo Suzuki

This letter is about confinement in QCD. At the moment we have pictures of confinement to complete our understanding of the physics of strongly interacting particles, interaction which asks for confinement. As it is said in [1] : " In…

High Energy Physics - Theory · Physics 2025-02-19 J. L. Alonso , C. Bouthelier-Madre , J. Clemente-Gallardo , D. Martínez-Crespo

We study Abelian monopole and vortex condensation in lattice pure gauge theories. Condensation is detected by means of a disorder parameter defined in terms of a gauge-invariant effective action introduced using the lattice Schr\"odinger…

High Energy Physics - Lattice · Physics 2009-11-07 Paolo Cea , Leonardo Cosmai

We describe a weak coupling realization of the deconfinement transition in gauge theory compactified on $R^3\times S^1$. We consider Yang-Mills theory with a single Weyl fermion of mass $m$ in the adjoint representation of the gauge group.…

High Energy Physics - Lattice · Physics 2013-10-31 Thomas Schaefer

We study fermionic modes localized on the static spherically symmetric self-gravitating non-Abelian monopole in the $SU(2)$ Einstein-Dirac-Yang-Mills-Higgs theory. We consider dependence of the spectral flow on the effective gravitational…

High Energy Physics - Theory · Physics 2023-07-31 Vladimir Dzhunushaliev , Vladimir Folomeev , Yakov Shnir

The mechanism of non-Abelian color confinement is studied in SU(2) lattice gauge theory in terms of the Abelian fields and monopoles extracted from non-Abelian link variables without adopting gauge fixing. Firstly, the static…

High Energy Physics - Lattice · Physics 2014-11-20 T. Suzuki , M. Hasegawa , K. Ishiguro , Y. Koma , T. Sekido

We investigate the type of dual superconductivity responsible for quark confinement. For this purpose, we solve the field equations of the $U(1)$ Abelian--Higgs model to obtain the static vortex solution in the whole range without…

High Energy Physics - Lattice · Physics 2019-04-29 Akihiro Shibata , Kei-Ichi Kondo , Shogo Nishino , Takaaki Sasago , Seikou Kato

We investigate plasmon resonances in graphene with periodic carrier density modulation. The period is 8 um, and each period consists of 1.7- and 6.3-um-wide ribbons with different density. Using terahertz spectroscopy, we show two plasmon…

Strongly Correlated Electrons · Physics 2018-12-12 Ngoc Han Tu , Makoto Takamura , Yui Ogawa , Satoru Suzuki , Norio Kumada

Fermion zero modes of Bogomol'nyi-Prasad-Sommerfield monopole-string-domain wall composites in three spatial dimensions are studied. We analytically solve the Dirac equation and prove the existence of one fermion zero mode. Depending on…

High Energy Physics - Theory · Physics 2025-06-23 Minoru Eto , Yuito Suzuki

Aspects of screening and confinement are re-examined for a recently proposed compact Abelian Higgs model with a $\theta$-term. Our discussion is accomplished using the gauge-invariant but path-dependent variables formalism, which is an…

High Energy Physics - Theory · Physics 2020-04-22 Patricio Gaete , José A. Helayël-Neto