Abstract
A gauge invariant interaction between a symmetric second-rank tensor field and a scalar field is examined in detail in exactly two dimensions. The quantum dynamics of the tensor field are determined solely by the gauge fixing term in the effective action. The divergence structure of this model is analysed. All divergences can be removed by renormalizations of the scalar field wavefunction (both linear and nonlinear), and the non-polynomial interaction functions of the scalar field. The authors illustrate how operator regularization can be used to compute radiative effects to one-loop order.
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