Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-10-03
PhysicaA378:238-254,2007
Physics
Condensed Matter
Statistical Mechanics
Plain LaTEX2e, 32 pages and three figures. Submitted to Journal of Statistical Physics
Scientific paper
10.1016/j.physa.2006.11.089
The well-established effective action and effective potential framework from the quantum field theory domain is adapted and successfully applied to classical field theories of the Doi and Peliti type for diffusion controlled reactions. Through a number of benchmark examples, we show that the direct calculation of the effective potential in fixed space dimension $d=2$ to one-loop order reduces to a small set of simple elementary functions, irrespective of the microscopic details of the specific model. Thus the technique, which allows one to obtain with little additional effort, the potentials for a wide variety of different models, represents an important alternative to the standard model dependent diagram-based calculations. The renormalized effective potential, effective equations of motion and the associated renormalization group equations are computed in $d=2$ spatial dimensions for a number of single species field theories of increasing complexity.
Hochberg David
Zorzano Maria Paz
No associations
LandOfFree
Path integral evaluation of the one-loop effective potential in field theory of diffusion-limited reactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Path integral evaluation of the one-loop effective potential in field theory of diffusion-limited reactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path integral evaluation of the one-loop effective potential in field theory of diffusion-limited reactions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-134601