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Path integral evaluation of the one-loop effective potential in field theory of diffusion-limited reactions
Centro de Astrobiologia (CSIC/INTA), Associated to NASA Astrobiology Institute.
Centro de Astrobiologia (CSIC/INTA), Associated to NASA Astrobiology Institute.ORCID iD: 0000-0002-4492-9650
2007 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 278, no 2, p. 238-254Article in journal (Refereed) Published
Abstract [en]

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 path integral 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 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.

Place, publisher, year, edition, pages
2007. Vol. 278, no 2, p. 238-254
National Category
Aerospace Engineering
Research subject
Atmospheric science
Identifiers
URN: urn:nbn:se:ltu:diva-65604DOI: 10.1016/j.physa.2006.11.089Scopus ID: 2-s2.0-33847673726OAI: oai:DiVA.org:ltu-65604DiVA, id: diva2:1140533
Available from: 2017-09-12 Created: 2017-09-12 Last updated: 2017-11-24Bibliographically approved

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Zorzano, María Paz

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