12 research outputs found
Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
We argue that in the infrared regime of continuum Yang-Mills theory, the
possibility of a mass gap in the charged sector is closely associated with the
center vortex sector.
The analysis of the possible consequences of the ensembles of defects is done
by showing that the description of center vortices and monopoles is naturally
unified by means of a careful treatment of Cho decomposition.
If on the one hand confinement is usually associated with monopole
condensation in a compact abelian model, in this scenario, the previous
decoupling of the off-diagonal degrees of freedom, for the abelian model
dominate at large distances, can be understood as induced by a phase where
center vortices become thick objects.
Other important scenarios for correlated monopoles and center vortices,
observed in lattice simulations, are also accomodated in our general
formulation.Comment: 36 pages, improved version containing a more general discussio
Vortex Correlation Functions in Maxwell-Chern-Simons Models
Maxwell-Chern-Simons models in the presence of an instanton anti-instanton
background are studied. The saddle-point configuration corresponds to the
creation and annihilation of a vortex localized around the Dirac string needed
to support the nontrivial background. This configuration is generalized to the
case in which a nonlocal Maxwell term is allowed in order to fulfill the finite
action requirement. Following 't Hooft procedure, we compute the vortex
correlation functions and we study the possibility of obtaining spin 1/2
excitations. A possible connection with the bosonization of interacting
three-dimensional massive fermionic systems is also discussed.Comment: 1+10 pages, LaTeX2
Massless Fermions and the Instanton Dipole Liquid in Compact QED_3
We study the consequences of including parity preserving matter for the
effective dual theory corresponding to compact QED_3; in particular we focus on
the effect of that contribution on the confinement-deconfinement properties of
the system. To that end, we compare two recent proposals when massless fermions
are included, both based on an effective anomalous dual model, but having
global and local Z_2 symmetries, respectively.
We present a detailed analysis to show that while for large mass fermions the
global Z_2 symmetry is preferred, in the massless fermion case the local Z_2
scenario turns out to be the proper one.
We present a detailed discussion about how the inclusion of massless fermions
in compact QED_3 leads to deconfinement, and discuss the stability of the
deconfined phase by introducing a description based on an instanton dipole
liquid picture.Comment: 28 page
Dual description of U(1) charged fields in (2+1) dimensions
We show that the functional bosonization procedure can be generalized in such
a way that, to any field theory with a conserved Abelian charge in (2+1)
dimensions, there corresponds a dual Abelian gauge field theory. The properties
of this mapping and of the dual theory are discussed in detail, presenting
different explicit examples. In particular, the meaning and effect of the
coefficient of the Chern-Simons term in the dual action is interpreted in terms
of the spin and statistics connection.Comment: 25 page
Space of test functions for higher-order field theories
The fundamental space Îś is defined as the set of entire analytic functions [test functions Ď(z)], which are rapidly decreasing on the real axis. The variable z corresponds to the complex energy plane. The conjugate or dual space ΜⲠis the set of continuous linear functionals (distributions) on Îś. Among those distributions are the propagators, determined by the poles implied by the equations of motion and the contour of integration implied by the boundary conditions. All propagators can be represented as linear combinations of elementary (one pole) functionals. The algebra of convolution products is also determined. The Fourier transformed space ÎśĚ contains test functions ĎĚ(x). These functions are extra-rapidly decreasing, so that the exponentially increasing solutions of higher-order equations are distributions on ÎśĚ. Š 1994 American Institute of Physics.Fil:Oxman, L.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina
Universal transverse conductance between quantum hall regions and (2+1)D bosonization
Final version to appear in Nuclear Physics BConsiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio Nazionale delle RichercheSIGLEITItal
On bosonization in 3 dimensions
Submitted to Physics Letters BConsiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle RichercheSIGLEITItal