148 research outputs found
Vacuum Instability in Chern-Simons Theory, Null Vectors and Two-Dimensional Logarithmic Operators
A new relation between two-dimensional conformal field theories and
three-dimensional topologically massive gauge theories is found, where the
dynamical nature of the 3d theory is ultimately important.
It is shown that the those primary states in CFT which have non-unitary
descendants correspond in the 3d theory to supercritical charges and cause
vacuum instability. It is also shown that logarithmic operators separating the
unitary sector from a non-unitary one correspond to an exact zero energy ground
state in which case the 3d Hamiltonian naturally has a Jordan structure.Comment: 12 pages, Latex. 1 figur
Hagedorn transition, vortices and D0 branes: Lessons from 2+1 confining strings
We study the behaviour of Polyakov confining string in the Georgi-Glashow
model in three dimensions near confining-deconfining phase transition described
in hep-th/0010201. In the string language, the transition mechanism is the
decay of the confining string into D0 branes (charged W bosons of the
Georgi-Glashow model). In the world-sheet picture the world-lines of heavy D0
branes at finite temperature are represented as world-sheet vortices of a
certain type, and the transition corresponds to the condensation of these
vortices. We also show that the ``would be'' Hagedorn transition in the
confining string (which is not realized in our model) corresponds to the
monopole binding transition in the field theoretical language. The fact that
the decay into D0 branes occurs at lower than the Hagedorn temperature is
understood as the consequence of the large thickness of the confining string
and finite mass of the branes.Comment: 31 pages, Late
Gauge Dressing of 2D Field Theories
By using the gauge Ward identities, we study correlation functions of gauged
WZNW models. We show that the gauge dressing of the correlation functions can
be taken into account as a solution of the Knizhnik-Zamolodchikov equation. Our
method is analogous to the analysis of the gravitational dressing of 2D field
theories.Comment: 13 pages, Late
Vacuum Instability in Topologically Massive Gauge Theory
We find the critical charge for a topologically massive gauge theory for any
gauge group, generalising our earlier result for SU(2). The relation between
critical charges in TMGT, singular vectors in the WZNW model and logarithmic
CFT is investigated.Comment: 14 pages, Late
Deconfining Phase Transition in 2+1 D: the Georgi-Glashow Model
We analyze the finite temperature deconfining phase transition in 2+1
dimensional Georgi-Glashow model. We show explicitly that the transition is due
to the restoration of the magnetic symmetry and that it is in the Ising
universality class. We find that neglecting effects of the charged bosons
leads to incorrect predictions for the value of the critical temperature and
the universality class of the transition, as well as for various correlation
functions in the high temperature phase. We derive the effective action for the
Polyakov loop in the high temperature phase and calculate the correlation
functions of magnetic vortex operators.Comment: 26 pages, 1 figure, discussion about spatial Wilson loops added, to
appear in JHE
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