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Complex classical fields: An example
Authors:Arthur Jaffe,Christian D. Jä  kel,Roberto E. Martinez II
Affiliation:1. Harvard University, Cambridge, MA 02138, United States;2. School of Mathematics, Cardiff University, Wales, United Kingdom
Abstract:We study complex, classical, scalar fields within a new framework introduced in a previous work. We replace the usual functional integral by a complex functional arising from a boosted Hamiltonian. We generalize the Feynman–Kac relation to this setting, and use it to establish the spectral condition on a cylinder. We consider also positive-temperature states.
Keywords:Constructive quantum field theory   Functional integral   Complex measure
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