385 research outputs found
The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension
We carry out further analysis of the Hamiltonian approach to Yang-Mills
theory in 2+1 dimensions which helps to place the calculation of the vacuum
wave function and the string tension in the context of a systematic expansion
scheme. The solution of the Schrodinger equation is carried out recursively.
The computation of correlators is re-expressed in terms of a two-dimensional
chiral boson theory. The effective action for this theory is calculated to
first order in our expansion scheme and to the fourth order in a kinematic
expansion parameter. The resulting corrections to the string tension are shown
to be very small, in the range -0.3% to -2.8%, moving our prediction closer to
the recent lattice estimates.Comment: 33 pages, 10 figure
On the deconfining limit in (2+1)-dimensional Yang-Mills theory
We consider (2+1)-dimensional Yang-Mills theory on in the framework of a Hamiltonian approach developed by Karabali, Kim
and Nair. The deconfining limit in the theory can be discussed in terms of one
of the radii of the torus (), while the other radius goes
to infinity. We find that the limit agrees with the previously known result for
a dynamical propagator mass of a gluon. We also make comparisons with numerical
data.Comment: 21 pages; v2. lattice data references updated, comparative statements
revised; v3. minor corrections; v4. section 6 extended, published versio
Gauge invariant variables and the Yang-Mills-Chern-Simons theory
A Hamiltonian analysis of Yang-Mills (YM) theory in (2+1) dimensions with a
level Chern-Simons term is carried out using a gauge invariant matrix
parametrization of the potentials. The gauge boson states are constructed and
the contribution of the dynamical mass gap to the gauge boson mass is obtained.
Long distance properties of vacuum expectation values are related to a
Euclidean two-dimensional YM theory coupled to flavors of Dirac fermions in
the fundamental representation. We also discuss the expectation value of the
Wilson loop operator and give a comparison with previous results.Comment: 20 pages, Plain Te
Bosonization of the lowest Landau level in arbitrary dimensions: edge and bulk dynamics
We discuss the bosonization of nonrelativistic fermions interacting with
non-Abelian gauge fields in the lowest Landau level in the framework of higher
dimensional quantum Hall effect. The bosonic action is a one-dimensional matrix
action, which can also be written as a noncommutative field theory, invariant
under transformations. The requirement that the usual gauge
transformation should be realized as a transformation provides an analog
of a Seiberg-Witten map, which allows us to express the action purely in terms
of bosonic fields. The semiclassical limit of this, describing the gauge
interactions of a higher dimensional, non-Abelian quantum Hall droplet,
produces a bulk Chern-Simons type term whose anomaly is exactly cancelled by a
boundary term given in terms of a gauged Wess-Zumino-Witten action.Comment: 29 pages ; typos corrected, two references adde
Yang-Mills theory in (2+1) dimensions: a short review
The analysis of (2+1)-dimensional Yang-Mills ( theory via the use
of gauge-invariant matrix variables is reviewed. The vacuum wavefunction,
string tension, the propagator mass for gluons, its relation to the magnetic
mass for at nonzero temperature and the extension of our analysis to
the Yang-Mills-Chern-Simons theory are discussed.Comment: 14 pages, Talk at Lightcone Workshop, Trento, 2001, to appear in
Nucl.Phys.(Proc.
On the origin of the mass gap for non-Abelian gauge theories in (2+1) dimensions
An analysis of how the mass gap could arise in pure Yang-Mills theories in
two spatial dimensions is givenComment: 10 pages, plain Te
Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects
We explore further the Hamiltonian formulation of Yang-Mills theory in 2+1
dimensions in terms of gauge-invariant matrix variables. Coupling to scalar
matter fields is discussed in terms of gauge-invariant fields. We analyze how
the screening of adjoint (and other screenable) representations can arise in
this formalism. A Schrodinger equation is then derived for the gluelump states
which are the daughter states when an adjoint string breaks. A variational
solution of this Schrodinger equation leads to an analytic estimate of the
string-breaking energy which is within 8.8% of the latest lattice estimates.Comment: 31 pages, 1 figure, minor comments, references added, final version
to appear in Nucl.Phys.
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