Continuous spectrum of automorphism groups and the infraparticle problem
From MaRDI portal
Publication:711588
DOI10.1007/s00220-010-1091-yzbMath1203.46040arXiv0912.2013OpenAlexW3105150594MaRDI QIDQ711588
Publication date: 27 October 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.2013
Operator algebra methods applied to problems in quantum theory (81R15) Automorphisms of selfadjoint operator algebras (46L40)
Related Items
Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems ⋮ Asymptotic completeness for infraparticles in two-dimensional conformal field theory ⋮ The resolvent algebra of non-relativistic Bose fields: observables, dynamics and states ⋮ Infraparticles with superselected direction of motion in two-dimensional conformal field theory ⋮ Asymptotic completeness in a class of massless relativistic quantum field theories ⋮ Towards asymptotic completeness of two-particle scattering in local relativistic QFT ⋮ Towards a construction of inclusive collision cross-sections in the massless Nelson model ⋮ Infraparticle problem, asymptotic fields and Haag-Ruelle theory ⋮ On energy-momentum transfer of quantum fields ⋮ Covariant representations for possibly singular actions on $C^*$-algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infraparticle scattering states in non-relativistic QED. I: The Bloch-Nordsieck paradigm
- Asymptotic completeness for N-body short-range quantum systems: A new proof
- Asymptotic completeness for Compton scattering
- Harmonic analysis of local operators
- Construction of quantum field theories with factorizing S-matrices
- The N-particle scattering problem: asymptotic completeness for short- range systems
- Spectral criteria for almost periodicity of solutions of functional equations
- Local algebras of observables and pointlike localized fields
- Locality and the structure of particle states
- The realm of the vacuum
- Spectral theory for one-parameter groups of isometries
- On groups of automorphisms of operator algebras
- Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
- Asymptotic completeness of long-range \(N\)-body quantum systems
- Almost periodic solutions of first- and second-order Cauchy problems
- Morita-Rieffel equivalence and spectral theory for integrable automorphism groups of \(C^*\)-algebras
- Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians
- Spectral theory for infinitesimal generators of one-parameter groups of isometries: The min-max principle and compact perturbations
- The physical state space of quantum electrodynamics
- Particle weights and their disintegration. I
- Particle weights and their disintegration. II
- Infrared problem and spatially local observables in electrodynamics
- Scattering of an infraparticle: The one particle sector in Nelson's massless model
- A sharpened nuclearity condition and the uniqueness of the vacuum in QFT
- Haag-Ruelle scattering theory in presence of massless particles
- Dynamics of Charged Particles and their Radiation Field
- Phase space properties and the short distance structure in quantum field theory
- Coincidence arrangements of local observables and uniqueness of the vacuum in QFT
- On the spectrum of a one-parameter strongly continous representation.
- Completeness of eigenvectors of group representations of operators whose Arveson spectrum is scattered
- Unconditional integrability for dual actions
- The vacuum state in quantum field theory
- Generalized fixed point algebras and square-integrable group actions
