Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective potential for the reaction-diffusion-decay system   In previous work [cond-mat/9904207,cond-mat/9904215] we have developed a
general method for casting stochastic partial differential equations (SPDEs)
into a functional integral formalism, and have derived the one-loop effective
potential for these systems. In this paper we apply the same formalism to a
specific field theory of considerable interest, the reaction-diffusion-decay
system. When this field theory is subject to white noise we can calculate the
one-loop effective potential (for arbitrary polynomial reaction kinetics) and
show that it is one-loop ultraviolet renormalizable in 1, 2, and 3 space
dimensions. For specific choices of interaction terms the one-loop
renormalizability can be extended to higher dimensions. We also show how to
include the effects of fluctuations in the study of pattern formation away from
equilibrium, and conclude that noise affects the stability of the system in a
way which is calculable.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an