Dynamics of two topologically entangled chains

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3574356· OSTI ID:21501308

Ferrari, F ^[1]; Paturej, J ^[1]; Piatek, M ^[1]; Vilgis, T A ^[2]

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1. Institute of Physics, University of Szczecin, Wielkopolska 15, 70451 Szczecin (Poland)
2. Max Planck Institute for Polymer Research, 10 Ackermannweg, 55128 Mainz (Germany)

Starting from a given topological invariant, we argue that it is possible to construct a topological field theory with a finite number of Feynman diagrams and an amplitude of gauge invariant objects that is a function of that invariant. This is, for example, the case of the Gauss linking number and of the abelian BF models which have been already successfully applied in the statistical mechanics of polymers. In this work it is shown that a suitable generalization of the BF model can be applied also to polymer dynamics, where the polymer trajectories are not static, but change their shape during time.

• OSTI ID: 21501308
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 4; Other Information: DOI: 10.1063/1.3574356; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FEYNMAN DIAGRAM
GAUGE INVARIANCE
POLYMERS
QUANTUM ENTANGLEMENT
QUANTUM FIELD THEORY
QUANTUM MECHANICS
STATISTICAL MECHANICS
TOPOLOGY
DIAGRAMS
FIELD THEORIES
INFORMATION
INVARIANCE PRINCIPLES
MATHEMATICS
MECHANICS