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Fermionic field theory for directed percolation in (1+1) dimensions

V. Brunel·K. Oerding·F. van Wijland
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Abstract

We formulate directed percolation in (1+1) dimensions in the language of a reaction-diffusion process with exclusion taking place in one space dimension. We map the master equation that describes the dynamics of the system onto a quantum spin chain problem. From there we build an interacting fermionic field theory of a new type. We study the resulting theory using renormalization group techniques. This yields numerical estimates for the critical exponents and provides a new alternative analytic systematic procedure to study low-dimensional directed percolation.

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V. Brunel, K. Oerding, F. van Wijland. 1999-11-06. Fermionic field theory for directed percolation in (1+1) dimensions. https://doi.org/10.1088/0305-4470%2F33%2F6%2F301

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