3 research outputs found
Is the Model with the Hopf Term Exactly Equivalent to a Higher Spin Theory?
We write down a local model involving two gauge fields, which is
exactly equivalent to the O(3) model with the Hopf term. We impose the
constraint by using the gaussian representation of the delta function.
For the coefficient of the Hopf term, , 2s being an
integer, we show that the resulting model is exactly equivalent to an
interacting theory of spin- fields. Thus we conjecture that there should be
a fixed point in the spin- theory near which it is exactly equal to the
model.Comment: 11 page
Sine-Gordon breather form factors and quantum field equations
Using the results of previous investigations on sine-Gordon form factors
exact expressions of all breather matrix elements are obtained for several
operators: all powers of the fundamental bose field, general exponentials of
it, the energy momentum tensor and all higher currents. Formulae for the
asymptotic behavior of bosonic form factors are presented which are motivated
by Weinberg's power counting theorem in perturbation theory. It is found that
the quantum sine-Gordon field equation holds and an exact relation between the
``bare'' mass and the renormalized mass is obtained. Also a quantum version of
a classical relation for the trace of the energy momentum is proven. The
eigenvalue problem for all higher conserved charges is solved. All results are
compared with perturbative Feynman graph expansions and full agreement is
found.Comment: LaTeX, 31 page