arXiv 0705.15072007-05-10hep-thmath.QA

Semi-Classical Quantum Fields Theories and Frobenius Manifolds

Jae-Suk Park

发表信息：: Lett.Math.Phys.81:41-59,2007
DOI：: 10.1007/s11005-007-0165-z

英文摘要：

We show that a semi-classical quantum field theory comes with a versal family with the property that the corresponding partition function generates all path integrals and satisfies a system of 2nd order differential equations determined by algebras of classical observables. This versal family gives rise to a notion of special coordinates that is analogous to that in string theories. We also show that for a large class of semi-classical theories, their moduli space has the structure of a Frobenius super-manifold.

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