A topological classification of monopoles and vortices is formulated in terms of fibre bundles. 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. To define pvortices we use both the direct maximal. Content distributed via the university of minnesotas digital conservancy may be subject to additional license and use restrictions applied by the depositor. Vortices and monopoles in massdeformed so and usp gauge. Properties of pvortices and monopole clusters in lattice. Minmax theory for the yangmillshiggs equations taubes, clifford henry, communications in mathematical physics, 1985.
Monopoles, vortices and the geometry of the yangmills. We investigate the effect of z2 magnetic monopoles and vortices on the finite temperature deconfinement phase transition in the. Aspects of vortices and hyperbolic monopoles alexander h. Inspire, the high energy physics information system. The vacuum expectation value of this operator is interpreted as a disorder parameter describing vortex. We study the properties of configurations from which pvortices on one hand or abelian monopoles on the other hand have been removed. Lattice calculations performed in abelian gauges give strong evidence that confinement is realized as a dual meissner effect, implying that the yangmills. Cockburn submitted for the degree of doctor of philosophy may 2015 abstract this thesis discusses bps monopoles in hyperbolic space.
The geodesic approximation for the yangmillshiggs equations stuart, d. Enter your mobile number or email address below and well send you a link to download the free. Magnetic monopoles, vortices and the topology of gauge fields. We construct the creation operator of a vortex using the methods developed for monopoles. Furthermore, if monopoles are very heavy, those bombarding the earth are likely to be moving rclatively slowly, with velocities of order 10 3 c. 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. Some exact bps solutions for exotic vortices and monopoles. Vortices and monopoles in liouville theory nasaads. Appearance of vortices and monopoles in a decomposition of. We find that the zero modes and the band of nonzero modes close. This thesis discusses bps monopoles in hyperbolic space and bps vortices in the presence of magnetic impurities. Two exotic objects are still not identified experimentally in chiral superfluids and superconductors. We also study the monopolemonopole potential energy of thick and thin monopoles. In addition to vortices, wuyang monopoles can also be obtained in this decomposition.
We prove explicit formulae for the spectral curve and rational map of a jnrtype hyperbolic. Aspects of vortices and hyperbolic monopoles durham etheses. Click download or read online button to get topological solitons book now. This proportionality constant means that two magnetic monopoles of unit charge would experience a coulomb force. Our results suggest that vortices and monopoles of increasing thickness will play an important role in the large. We also discuss the interrelation of the monopoles and pvortices. 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. We interpret its vacuum expectation value as a disorder parameter for the.
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. Monopoles and fractional vortices in chiral superconductors. Center vortices and monopoles without lattice gribov. The geometry and dynamics of magnetic monopoles on jstor. 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.
Vortices and monopoles in a harmonic trap springerlink. It seems that this decomposition describes topological structures including both vortices and monopoles, which dominate the nonperturbative regime of the theory. Minmax theory for the yangmillshiggs equations taubes, clifford. 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. The omegadeformation is a harmonic trap, penning certain excitations near the origin in a manner consistent with supersymmetry. Vortices and monopoles in a harmonic trap pdf paperity. Cern document server access articles, reports and multimedia content in hep. We consider applications of recent results describing kosterlitzthouless type phase transitions of vortices and monopoles defined on a two dimensional space of spherical topology. Pietarinen monopoles, vortices and confinement 149 suggest that there are important correlations between vortices and monopoles. Magnetic monopoles, vortices and the topology of gauge. Interrelation between monopoles, vortices, topological.
Tech scholar, computer aided structural engineering, m g university, india. In condensed matter, there are also topological objects that imitate magnetic monopoles. Citeseerx z2 monopoles, vortices and the universality of. Here we explore the dynamics of bps monopoles and vortices in such a trap. Mod 2 seibergwitten invariants of real algebraic surfaces with the opposite orientation kim, jin.
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. Citeseerx document details isaac councill, lee giles, pradeep teregowda. In chiral superconductors, their structure is very similar to the nexus. Durham etheses aspects of vortices and hyperbolic monopoles. We construct the creation operator of a vortex for su2 pure gauge theory using the methods developed for monopoles. Abstractwe present several analytical solutions of bps vortices and monopoles in the generalized abelian maxwellhiggs and yangmillshiggs theories, respectively. Magnetic monopole, or dirac monopole, a hypothetical particle that may be loosely described as a magnet with only one pole.
Large n limit of multivortices and multimonopoles and. The distinction between dirac and t hooft monopoles is made in the light of the energy. 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. I first idea from dirac in 1931 symmetric form of maxwellequations i appear in nonabelian gauge theories with symmetry. Nonabelian monopoles and the vortices that confine them. Vortices, monopoles and confinement swansea university. Properties of pvortices and monopole clusters in lattice su2 gauge theory. Contents preface to the first edition xv preface to the second edition xix convention, notation, and units xxv i part i. Pdf vortices versus monopoles in color confinement. Topological solitons download ebook pdf, epub, tuebl, mobi. Structure of static gauge theories progress in physics 2 hardcover 1980. We show that this decomposition for the lowenergy limit supports vortices as topological solitons. 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. Magnetic quarks having nonabelian charges have been found recently to appear as the dominant infrared degrees.
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