21,277 research outputs found
The spectrum of massive excitations of 3d 3-state Potts model and universality
We consider the mass spectrum of the 3 3-state Potts model in the broken
phase (a) near the second order Ising critical point in the temperature -
magnetic field plane and (b) near the weakly first order transition point at
zero magnetic field. In the case (a), we compare the mass spectrum with the
prediction from universality of mass ratios in the 3 Ising class; in the
case (b), we determine a mass ratio to be compared with the corresponding one
in the spectrum of screening masses of the (3+1) SU(3) pure gauge theory at
finite temperature in the deconfined phase near the transition. The agreement
in the comparison in the case (a) would represent a non-trivial test of
validity of the conjecture of spectrum universality. A positive answer to the
comparison in the case (b) would suggest the possibility to extend this
conjecture to weakly first order phase transitions.Comment: 20 pages, 12 figures; uses axodraw.st
What is the Jacobian of a Riemann surface with boundary?
We define the Jacobian of a Riemann surface with analytically parametrized
boundary components. These Jacobians belong to a moduli space of ``open abelian
varieties'' which satisfies gluing axioms similar to those of Riemann surfaces,
and therefore allows a notion of ``conformal field theory'' to be defined on
this space. We further prove that chiral conformal field theories corresponding
to even lattices factor through this moduli space of open abelian varieties.Comment: 27 pages. Minor explanation and motivation added
Finite-size scaling and the deconfinement transition in gauge theories
We introduce a new method for determining the critical indices of the
deconfinement transition in gauge theories. The method is based on the finite
size scaling behavior of the expectation value of simple lattice operators,
such as the plaquette. We test the method for the case of SU(3) pure gauge
theory in (2+1) dimensions and obtain a precise determination of the critical
index , in agreement with the prediction of the Svetitsky-Yaffe
conjecture.Comment: 6 pages. Several comments and one reference added, results unchange
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