Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in ϕ4-Theory

DOI10.1063/1.4718333zbMath1276.70020arXiv1201.5497OpenAlexW2079437829MaRDI QIDQ2862909

Felix Finster, Jürgen Tolksdorf

Publication date: 20 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5497

Mathematics Subject Classification ID

Trees (05C05) Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Perturbation theories for operators and differential equations in quantum theory (81Q15) More general nonquantum field theories in mechanics of particles and systems (70S20) Green's functions for elliptic equations (35J08)

Related Items

The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs, Perturbative quantum field theory in the framework of the fermionic projector, First integrals for nonlinear dispersive equations

Cites Work

• A formulation of quantum field theory realizing a sea of interacting Dirac particles
• Scattering theory in the energy space for a class of nonlinear wave equations
• Definition of the Dirac sea in the presence of external fields
• Decay and asymptotics for \(\square u = F(u)\)
• An introduction to linear and nonlinear scattering theory
• The causal perturbation expansion revisited: Rescaling the interacting Dirac sea
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