The first order expansion of a ground state energy of the ϕ4 model with cutoffs
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Publication:4987887
DOI10.1063/5.0040022zbMath1462.81134arXiv2012.04907OpenAlexW3111166010MaRDI QIDQ4987887
Publication date: 4 May 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.04907
Model quantum field theories (81T10) General topics in linear spectral theory for PDEs (35P05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Cites Work
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- Ground states in the spin Boson model
- On generalized spin-boson models with singular perturbations
- Analytic perturbation theory and renormalization analysis of matter coupled to quantized radiation
- Second order perturbation theory for embedded eigenvalues
- Convergent expansions in non-relativistic QED: analyticity of the ground state
- Smoothness and analyticity of perturbation expansions in QED
- Feynman-Kac-type theorems and Gibbs measures on path space. With applications to rigorous quantum field theory.
- Quantum electrodynamics of confined nonrelativistic particles
- On the existence and uniqueness of ground states of a generalized spin-boson model
- Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians
- On the existence of ground states for massless Pauli-Fierz Hamiltonians
- Spectral analysis of a massless charged scalar field with cutoffs
- On asymptotic expansions in spin-boson models
- Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
- A new asymptotic perturbation theory with applications to models of massless quantum fields
- Multiplicity of ground states in quantum field models: applications of asymptotic fields
- A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory
- Analysis on Fock Spaces and Mathematical Theory of Quantum Fields
- Singular perturbations of selfadjoint operators
- A<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Quantum Field Theory without Cutoffs. I
- Ground states in non-relativistic quantum electrodynamics.
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