On perturbative quantum field theory with boundary
Z. Bajnok, G. Bohm, G. Takacs
TL;DR
This paper studies boundary quantum field theories using perturbative methods, analyzing Green functions' properties and establishing equivalences with other expansion techniques.
Contribution
It introduces a perturbative framework for boundary quantum field theories around Neumann conditions and derives key analytic properties of Green functions.
Findings
Derived Landau equations and Cutkosky rules for boundary theories
Analyzed analyticity properties of Green functions
Established equivalence with other perturbative expansions
Abstract
Boundary quantum field theory is investigated in the Lagrangian framework. Models are defined perturbatively around the Neumann boundary condition. The analyticity properties of the Green functions are analyzed: Landau equations, Cutkosky rules together with the Coleman-Norton interpretation are derived. Illustrative examples as well as argument for the equivalence with other perturbative expansions are presented.
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