7 research outputs found
A Note on Schwinger Mechanism and a Nonabelian Instability in a Nonabelian Plasma
We point out that there is a nonabelian instability for a nonabelian plasma
which does not allow both for a net nonzero color charge and the existence of
field configurations which are coherent over a volume whose size is
determined by the chemical potential. The basic process which leads to this
result is the Schwinger decay of chromoelectric fields, for the case where the
field arises from commutators of constant potentials, rather than as the curl
of spacetime dependent potentials. In terms of the fields, instability is
obtained when Tr(DF)^2 > 0.Comment: 14 pages, 6 figure
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
Solving Pure Yang Mills in 2+1 Dimensions
We analytically compute the spectrum of the spin zero glueballs in the planar
limit of pure Yang-Mills theory in 2+1 dimensions. The new ingredient is
provided by our computation of a new non-trivial form of the ground state
wave-functional. The mass spectrum of the theory is determined by the zeroes of
Bessel functions, and the agreement with large N lattice data is excellent.Comment: 4 page letter; version to appear in Physical Review Letter
On the Glueball Spectrum of Pure Yang-Mills Theory in 2+1 Dimensions
We present details of the analytic computation of the spectrum of lowest spin
glueballs in pure Yang-Mills theory in 2+1 dimensions. The new ingredient is
provided by the conjectured new non-trivial expression for the (quasi)Gaussian
part of the ground state wave-functional. We show that this wave-functional can
be derived by solving the Schrodinger equation under certain assumptions. The
mass spectrum of the theory is determined by the zeros of Bessel functions, and
the agreement with available lattice data is excellent.Comment: 43 pages, 3 figures, LaTeX; version to appear in Physical Review