  We study the Sine-Gordon model with Minkowski signature in the framework of
perturbative algebraic quantum field theory. We calculate the vertex operator
algebra braiding property. We prove that in the finite regime of the model, the
expectation value - with respect to the vacuum or a Hadamard state - of the
Epstein Glaser S-matrix and the interacting current or the field respectively,
both given as formal power series, converge.
