Pair contact process with diffusion: field theory

Details Pair contact process with diffusion: field theory Pair contact process with diffusion: field theory

2003-12-18

arxiv.org/abs/cond-mat/0312463v3

Physics

Condensed Matter

Statistical Mechanics

This paper has been withdrawn by the authors

Scientific paper

This paper, which was concerned with a field-theoretic analysis of the PCPD by means of the renormalization group, has been withdrawn by the authors. We had found a nontrivial RG fixed point, but could not exclude the possibility that it was outside the basin attraction of the RG flow initial conditions. A benevolent, yet careful and critical reader, H.K. Janssen, kindly provided us with an argument showing that our fixed point actually led to unphysical consequences: Given the critical exponents we computed, the fluctuations of the total number of particles would be negative at large times close to the critical point. This renders our contribution inconsistent and thus invalid. Hence we have decided to withdraw our paper from the archive. A consistent analytical description of the PCPD unfortunately remains a challenge.

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