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Quantum field theory



In a sigma-model quantum field theory a field configuration is a morphism ϕ:ΣX\phi : \Sigma \to X for Σ\Sigma an nn-dimensional manifold or similar. One is to think of this as being the trajectory of an (n1)(n-1)-brane propagating in the target space XX.

For the case n=1n = 1 (for instance the relativistic particle, a 0-brane) the term worldline for Σ\Sigma has a long tradition. Accordingly one calls Σ\Sigma the worldvolume of the given (n1)(n-1)-brane when n>1n \gt 1. For the case n=2n=2 (the case of relevance in string theory) one also says worldsheet.

Revised on April 9, 2014 10:31:05 by Urs Schreiber (