On perturbative quantum field theory with boundary

2003/09/30 by Z. Bajnok, Zoltán Bajnok, Gabriella Böhm +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.01.018

published as Nucl.Phys. B682 (2004) 585-617 · 29 pages, 19 eps and 11 pstex figures v2: some references and comments added, misprints corrected

arxiv created 2003/10/31 · openalex publication_date 2004/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Boundary reflection matrix in perturbative quantum field theory
• Quantum corrections to the classical reflection factor in a2(1) Toda field theory
• Generalisations of the Coleman-Thun mechanism and boundary reflection factors
• Some semi-classical issues in the boundary sine-Gordon model
• Singularities in the physical region
• Schrödinger representation and Casimir effect in renormalizable quantum field theory