1,721,229 research outputs found
Quantum field theories of vortices and anyons.
No full textWe develop the quantization of topological solitons (vortices) in three-dimensional quantum field theory, in terms of the Euclidean region functional integral. We analyze in some detail the vortices of the abelian Higgs model. If a Chern-Simons term is added to the action, the vortices turn out to be ldquoanyons,rdquo i.e. particles with arbitrary real spin and intermediate (THgr) statistics. Localization properties of the interpolating field, scattering theory and spin-statistics connection of anyons are discussed. Such analysis might be relevant in connection with the fractional quantum Hall effect and two-dimensional models of HighT csuperconductors
Gauge-invariant charged, monopole and dyon fields in gauge theories
No full textWe propose explicit recipes to construct the euclidean Green functions of gauge-invariant charged, monopole and dyon fields in four-dimensional gauge theories whose phase diagram contains phases with deconfined electric and/or magnetic charges. In theories with only either abelian electric or magnetic charges, our construction is an euclidean version of Dirac's original proposal, the magnetic dual of his proposal, respectively. Rigorous mathematical control is achieved for a class of abelian lattice theories. In theories where electric and magnetic charges coexist, our construction of Green functions of electrically or magnetically charged fields involves taking an average over Mandelstam strings or the dual magnetic flux tubes, in accordance with Dirac's flux quantization condition. We apply our construction to 't Hooft-Polyakov monopoles and Julia-Zee dyons. Connections between our construction and the semiclassical approach are discussed
Quantum Field Theory of anyons.
No full textFor a Minkowski spacetime of dimension three, particles of arbitrary, real spin and intermediate (thetav-) statistics, called lsquoanyonsrsquo, are studied within the framework of relativistic quantum field theory. The localization properties of interpolating fields for anyons and the relation between the spin of anyons and their statistics are discussed on general grounds. A model of a quantum field theory exhibiting anyons is described. Our results might be relevant in connection with the fractional quantum Hall effect and two-dimensional models of high-T c superconductors
Soliton quantization in lattice field theories.
No full textQuantization of solitons in terms of Euclidean region functional integrals is developed, and Osterwalder-Schrader reconstruction is extended to theories with topological solitons. The quantization method is applied to several lattice field theories with solitons, and the particle structure in the soliton sectors of such theories is analyzed. A construction of magnetic monopoles in the four-dimensional, compactU(1)-model, in the QED phase, is indicated as well
MONOPOLE FIELDS FROM VORTEX SHEETS RECONCILING ABELIAN AND CENTER DOMINANCE
No full textWe describe a new order parameter for the confinement-deconfinement transition in lattice SU(2) Yang-Mills theory. It is expressed in terms of magnetic monopole field correlators represented as sums over sheets of center vortices. Our construction establishes a link between "abelian" and "center dominance". It avoids an inconsistency in the treatment of small scales present in earlier definitions of monopole fields by respecting Dirac's quantization condition for magnetic fluxes
Quantum skyrmions.
No full textWe develop a (formal) quantization of the solitons of chiral SU(N) non-linear sigma models (skyrmions) in terms of euclidean-region functional integrals. Our method permits us to determine baryon number, spin and statistics of skyrmions directly from their euclidean correlation functions
Magnetic monopoles and charged states in four-dimensional abelian lattice gauge theories.
No full textWe construct physical states of arbitrary magnetic charge for the U(1)4 lattice gauge theory and electrically charged states for the four-dimensional, noncompact Abelian Higgs model, or spinor QED, in the massless QED phase of these models. We discuss the infraparticle structure of monopoles and charged particles and show that, in the continuum limit (if it exists), the Lorentz group cannot be implemented unitarily on charged sectors
Spin-statistics theorem and scattering in planar quantum field theories with braid statistics.
No full textWe further develop the general theory of superselection sectors and their statistics for quantum fields on three-dimensional space-time. We show that the statistics of particles that are not localizable in bounded regions of space-time (but in space-like cones) are described by braid-group, rather than permutation-group representations, unless their spins are integral or half-integral. A general connection between spin and statistics is established. Extensions of the theory to non-relativistic systems of two-dimensional condensed matter physics are sketched which makes it applicable to the fractional quantum Hall effect and certain models of high-Tc superconductivity
Superselection sectors in quantum field models: kinks in ( Phi4) 2 and charged states in lattice (Q.E.D.)4.
No full textNon abelian bosonization in two-dimensional condensed matter physics.
No full textWe derive mathematical identities proving that some systems of interacting, non-relativistic fermions of spin or “isospin” View the MathML source confined to a plane (e.g. a heterojuncture) can be described in terms of a complex boson of spin or isospin S coupled to statistical U(1) and SU(2) gauge fields. In a Feynman path integral formulation, the U(1) gauge field has a Chern-Simons action with coupling constant View the MathML source, while the SU(2) gauge field has a Chern-Simons action with level 2S. Generalizations to internal symmetry groups other than SU(2) are sketched, and applications of our formalism to an analysis of excitations with braid statistics in incompressible quantum fluids and of holons and spinons in the t − J model are discussed
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