20,702 research outputs found
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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