Field Theoretic Approach to Long Range Reactions
  We analyze bimolecular reactions that proceed by a long-ranged reactive interaction, using a field theoretic approach that takes into account fluctuations.   We consider both the one-species, $A+A \to \emptyset$ reaction and the two-species, $A+B \to \emptyset$ reaction. We consider both mobile and immobile reactants, both in the presence and in the absence of adsorption. 
Jeong-Man Park and Michael W. Deem