@article{Nekovar:2016:10.1007/s10955-016-1483-2,
author = {Nekovar, S and Pruessner, G},
doi = {10.1007/s10955-016-1483-2},
journal = {Journal of Statistical Physics},
pages = {604--641},
title = {A field-theoretic approach to the Wiener Sausage},
url = {http://dx.doi.org/10.1007/s10955-016-1483-2},
volume = {163},
year = {2016}
}

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TY  - JOUR
AB  - The Wiener Sausage, the volume traced out by a sphere attachedto a Brownian particle, is a classical problem in statistics and mathematicalphysics. Initially motivated by a range of field-theoretic, technical questions,we present a single loop renormalised perturbation theory of a stochasticprocess closely related to the Wiener Sausage, which, however, proves to beexact for the exponents and some amplitudes. The field-theoretic approach isparticularly elegant and very enjoyable to see at work on such a classic problem.While we recover a number of known, classical results, the field-theoretictechniques deployed provide a particularly versatile framework, which allowseasy calculation with different boundary conditions even of higher momentaand more complicated correlation functions. At the same time, we provide ahighly instructive, non-trivial example for some of the technical particularitiesof the field-theoretic description of stochastic processes, such as excludedvolume, lack of translational invariance and immobile particles. The aim ofthe present work is not to improve upon the well-established results for theWiener Sausage, but to provide a field-theoretic approach to it, in order togain a better understanding of the field-theoretic obstacles to overcome.
AU  - Nekovar,S
AU  - Pruessner,G
DO  - 10.1007/s10955-016-1483-2
EP  - 641
PY  - 2016///
SN  - 0022-4715
SP  - 604
TI  - A field-theoretic approach to the Wiener Sausage
T2  - Journal of Statistical Physics
UR  - http://dx.doi.org/10.1007/s10955-016-1483-2
UR  - http://hdl.handle.net/10044/1/29533
VL  - 163
ER  - 

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