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Types of quantum field thories
In a sigma-model quantum field theory a field history is a morphism for an -dimensional manifold or similar. One is to think of this as being the trajectory: of an -brane propagating in the target space .
For the case (for instance the relativistic particle, a 0-brane) the term worldline for has a long tradition. Accordingly one calls the worldvolume of the given -brane when . For the case (the case of relevance in string theory) one also says worldsheet.
Hence generally for any field theory defined on a worldvolume or spacetime , and with type of fields determined by a field bundle , one may think of a section of the field bundle as a field trajectory.
The space of all these is the space of trajectories (space of histories).
Last revised on November 20, 2024 at 10:59:16. See the history of this page for a list of all contributions to it.