Quantum backgrounds and QFT

Details Quantum backgrounds and QFT Quantum backgrounds and QFT

2006-05-17

arxiv.org/abs/math/0605459v3

Int.Math.Res.Not.5:765-801,2009

Mathematics

Quantum Algebra

28 pages, published version

Scientific paper

We introduce the concept of a quantum background and a functor QFT. In the case that the QFT moduli space is smooth formal, we construct a flat quantum superconnection on a bundle over QFT which defines algebraic structures relevant to correlation functions in quantum field theory. We go further and identify chain level generalizations of correlation functions which should be present in all quantum field theories.

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