This thesis discusses bps monopoles in hyperbolic space and bps vortices in the presence of magnetic impurities. Pdf vortices, monopoles and confinement biagio lucini. Pdf we discuss the role of magnetic degrees of freedom in yangmills plasma at temperatures above and of order of the critical temperature t c. We find that the zero modes and the band of nonzero modes close. Monopoles and vortices in 3d n4 gauge theories heecheol kim harvard university based on arxiv.
Vortices and monopoles in a harmonic trap springerlink. In the previous chapter we saw that the parameter space of basedkmonopoles is a manifoldm k of dimension 4k, and donaldsons theorem gives us a simple explicit model of this manifold. The geometry and dynamics of magnetic monopoles on jstor. Alternative lattice caluclations performed in the maximum center gauge give strong support that center vortex configurations are the relevant infrared degrees of freedom responsible for confinement and. We pay particular attention to monopoles in the higgs phase, when they are confined to a vortex string. Vortices, monopoles and confinement swansea university. Our results suggest that vortices and monopoles of increasing thickness will play an important role in the large. We show that this decomposition for the lowenergy limit supports vortices as topological solitons. Tech scholar, computer aided structural engineering, m g university, india. Theoretical studies of magnetic monopole from maxwell to nonperturbative lattice formulation summer, 20 written by yun shi supervised by dr arttu rajentie imperial college london submitted in the. This proportionality constant means that two magnetic monopoles of unit charge would experience a coulomb force.
We construct the creation operator of a vortex for su2 pure gauge theory using the methods developed for monopoles. Appearance of vortices and monopoles in a decomposition of. Click download or read online button to get topological solitons book now. Durham etheses aspects of vortices and hyperbolic monopoles. The distinction between dirac and t hooft monopoles is made in the light of the energy. The omegadeformation is a harmonic trap, penning certain excitations near the origin in a manner consistent with supersymmetry. Pietarinen monopoles, vortices and confinement 149 suggest that there are important correlations between vortices and monopoles. Nonabelian monopoles and the vortices that confine them. Enter your mobile number or email address below and well send you a link to download the free.
Mod 2 seibergwitten invariants of real algebraic surfaces with the opposite orientation kim, jin. Aspects of vortices and hyperbolic monopoles durham etheses. Large n limit of multivortices and multimonopoles and. These are the halfquantum vortex, which plays the part of the alice string in relativistic theories, and the hedgehog in the lfield, which is the counterpart of the dirac magnetic monopole. We construct the creation operator of a vortex using the methods developed for monopoles. Properties of pvortices and monopole clusters in lattice su2 gauge theory. Two exotic objects are still not identified experimentally in chiral superfluids and superconductors. I first idea from dirac in 1931 symmetric form of maxwellequations i appear in nonabelian gauge theories with symmetry. The term vile vortices itself was first used by ivan sanderson, scottish biologist and founder of the society for the investigation of the unexplained, in an article titled the twelve devils. Cern document server access articles, reports and multimedia content in hep. Magnetic quarks having nonabelian charges have been found recently to appear as the dominant infrared degrees.
In chiral superconductors, their structure is very similar to the nexus. We study the properties of configurations from which pvortices on one hand or abelian monopoles on the other hand have been removed. In condensed matter, there are also topological objects that imitate magnetic monopoles. Pdf vortices versus monopoles in color confinement. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Center vortices and monopoles without lattice gribov. Magnetic monopoles, vortices and the topology of gauge fields. Here we explore the dynamics of bps monopoles and vortices in such a trap. Cockburn submitted for the degree of doctor of philosophy may 2015 abstract this thesis discusses bps monopoles in hyperbolic space. We interpret its vacuum expectation value as a disorder parameter for the. Topological solitons download ebook pdf, epub, tuebl, mobi. Lattice calculations performed in abelian gauges give strong evidence that confinement is realized as a dual meissner effect, implying that the yangmills. Aspects of vortices and hyperbolic monopoles alexander h.
Request pdf center vortices and monopoles without lattice gribov copies we construct a smooth gauge for the adjoint field which is free of ambiguities on the lattice. Properties of pvortices and monopole clusters in lattice. Magnetic monopole, or dirac monopole, a hypothetical particle that may be loosely described as a magnet with only one pole. Citeseerx z2 monopoles, vortices and the universality of. Content distributed via the university of minnesotas digital conservancy may be subject to additional license and use restrictions applied by the depositor. Magnetic monopoles, vortices and the topology of gauge. Vortices and monopoles in a harmonic trap pdf paperity. Structure of static gauge theories progress in physics 2 hardcover 1980. Their analysis of the domain walls naturally have some overlap with our analysis of the kink monopoles and, where the comparison is possible, our results seem to agree. We investigate the effect of z2 magnetic monopoles and vortices on the finite temperature deconfinement phase transition in the. Abelian and center dominance it is widely believed that confinement in su2 yangmills theory is due to condensation of topological defects, but it is still debated whether the relevant defects are center.
Minmax theory for the yangmillshiggs equations taubes, clifford. Some exact bps solutions for exotic vortices and monopoles. We consider applications of recent results describing kosterlitzthouless type phase transitions of vortices and monopoles defined on a two dimensional space of spherical topology. Abstractwe present several analytical solutions of bps vortices and monopoles in the generalized abelian maxwellhiggs and yangmillshiggs theories, respectively. The vacuum expectation value of this operator is interpreted as a disorder parameter describing vortex. We also study the monopolemonopole potential energy of thick and thin monopoles. To define pvortices we use both the direct maximal. Contents preface to the first edition xv preface to the second edition xix convention, notation, and units xxv i part i. The geodesic approximation for the yangmillshiggs equations stuart, d. Cockburn submitted for the degree of doctor of philosophy may 2015 abstract this thesis discusses bps monopoles in hyperbolic space and bps vortices in the presence of magnetic impurities. Inspire, the high energy physics information system. A topological classification of monopoles and vortices is formulated in terms of fibre bundles.
Vortices and monopoles in massdeformed so and usp gauge. Minmax theory for the yangmillshiggs equations taubes, clifford henry, communications in mathematical physics, 1985. Monopoles and fractional vortices in chiral superconductors. Furthermore, if monopoles are very heavy, those bombarding the earth are likely to be moving rclatively slowly, with velocities of order 10 3 c. It seems that this decomposition describes topological structures including both vortices and monopoles, which dominate the nonperturbative regime of the theory. We also discuss the interrelation of the monopoles and pvortices.
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