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- W3100998549 abstract "Abstract Area-dependent quantum field theory is a modification of two-dimensional topological quantum field theory, where one equips each connected component of a bordism with a positive real number—interpreted as area—which behaves additively under glueing. As opposed to topological theories, in area-dependent theories the state spaces can be infinite-dimensional. We introduce the notion of regularised Frobenius algebras in Hilbert spaces and show that area-dependent theories are in one-to-one correspondence to commutative regularised Frobenius algebras. We also provide a state sum construction for area-dependent theories. Our main example is two-dimensional Yang–Mills theory with compact gauge group, which we treat in detail." @default.
- W3100998549 created "2020-11-23" @default.
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- W3100998549 date "2020-11-20" @default.
- W3100998549 modified "2023-09-24" @default.
- W3100998549 title "Area-Dependent Quantum Field Theory" @default.
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- W3100998549 doi "https://doi.org/10.1007/s00220-020-03902-1" @default.
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