Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-11-26
Physics
High Energy Physics
High Energy Physics - Theory
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Scientific paper
10.1051/jp1:1993211
We argue that the field theory that descibes randomly branched polymers is not generally conformally invariant in two dimensions at its critical point. In particular, we show (i) that the most natural formulation of conformal invariance for randomly branched polymers leads to inconsistencies; (ii) that the free field theory obtained by setting the potential equal to zero in the branched polymer field theory is not even classically conformally invariant; and (iii) that numerical enumerations of the exponent $\theta (\alpha )$, defined by $T_N(\alpha )\sim \lambda^NN^{-\theta (\alpha ) +1}$, where $T_N(\alpha )$ is number of distinct configuratations of a branched polymer rooted near the apex of a cone with apex angel $\alpha$, indicate that $\theta (\alpha )$ is not linear in $1/\alpha$ contrary to what conformal invariance leads one to expect.
De'Bell Keith
Miller Jeffrey
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