Browsing by Subject "Nuclear pair"

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    Volume-dependent field theories
    (2023-12) Wedeen, Richard; Freed, Daniel S.; Ben-Zvi, David, 1974-; Distler, Jacques; Perutz, Timothy
    We develop the axiom system proposed by Kontsevich and Segal (2021) to define volume-dependent field theories (VFTs), a class of non-topological quantum field theories whose dependence on the background metric factors through the associated density. We construct a well-defined Lorentzian limit of a Wick-rotated VFT defined on smooth, possibly degenerate Lorentzian bordisms with incoming and outgoing boundary both nonempty. When the VFT is reflection positive, this extends the main theorem of Kontsevich and Segal (2021).