Infrared Problem and Spatially Local Observables in Electrodynamics

@article{Herdegen2007InfraredPA,
  title={Infrared Problem and Spatially Local Observables in Electrodynamics},
  author={Andrzej Herdegen},
  journal={Annales Henri Poincar{\'e}},
  year={2007},
  volume={9},
  pages={373-401}
}
  • A. Herdegen
  • Published 2 October 2007
  • Mathematics, Physics
  • Annales Henri Poincaré
Abstract.An algebra previously proposed as an asymptotic field structure in electrodynamics is considered in respect of localization properties of fields. Fields are ‘spatially local’ – localized in regions resulting as unions of two intersecting (solid) lightcones: a future- and a past-lightcone. This localization remains in concord with the usual idealizations connected with the scattering theory. Fields thus localized naturally include infrared characteristics normally placed at spacelike… 
Spacelike Localization of Long-Range Fields in a Model of Asymptotic Electrodynamics
A previously proposed algebra of asymptotic fields in quantum electrodynamics is formulated as a net of algebras localized in regions which in general have unbounded spacelike extension.
Spectral theory of automorphism groups and particle structures in quantum field theory
This Thesis presents some physically motivated criteria for the existence of particles and infra-particles in a given quantum field theory, and verifies them in models. The analysis is based on a
Almost Radial Gauge
  • A. Herdegen
  • Mathematics, Physics
    Annales Henri Poincaré
  • 2022
An almost radial gauge $$A^\mathrm {ar}$$ A ar of the electromagnetic potential is constructed for which $$x\cdot A^\mathrm {ar}(x)$$ x · A ar ( x ) vanishes arbitrarily
Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime
The discovery of the radiation properties of black holes prompted the search for a natural candidate quantum ground state for a massless scalar field theory on Schwarzschild spacetime, here
Continuous Spectrum of Automorphism Groups and the Infraparticle Problem
This paper presents a general framework for a refined spectral analysis of a group of isometries acting on a Banach space, which extends the spectral theory of Arveson. The concept of a continuous
Infraparticle Problem, Asymptotic Fields and Haag–Ruelle Theory
In this article, we want to argue that an appropriate generalization of the Wigner concepts may lead to an asymptotic particle with well-defined mass, although no mass hyperboloid in the
Infrared limit in external field scattering
Scattering of electrons/positrons by external classical electromagnetic wave packet is considered in infrared limit. In this limit, the scattering operator exists and produces physical effects,
Asymptotic structure of electrodynamics revisited
We point out that recently published analyses of null and timelike infinity and long-range structures in electrodynamics to large extent rediscover results present in the literature. At the same
Infraparticles with Superselected Direction of Motion in Two-Dimensional Conformal Field Theory
Particle aspects of two-dimensional conformal field theories are investigated, using methods from algebraic quantum field theory. The results include asymptotic completeness in terms of (counterparts
...
...

References

SHOWING 1-10 OF 27 REFERENCES
Infrared Problem, Higgs Phenomenon and Long Range Interactions
The infrared problem in QED is associated to the zero mass of the photon; at the level of (perturbative) Green’s functions the removal of the infrared cutoff (e.g. a fictitious photon mass µ) is
Topological Vector Spaces
This chapter presents the most basic results on topological vector spaces. With the exception of the last section, the scalar field over which vector spaces are defined can be an arbitrary,
Topological Vector Spaces
These are some informal notes concerning topological vector spaces, with a brief overview of background material and basic notions, and emphasis on examples related to classical analysis.
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
Phys
  • 39
  • 1998
Local quantum physics
Perturbative Quantum Electrodynamics and Axiomatic Field Theory
1 Introduction.- 2 Relativistic Covariance.- 3 Electrodynamics as a Classical Field Theory.- 4 The Basic Principles of Relativistic Quantum Field Theory.- 5 Free Fields.- 6 An Outline of Interacting
J. Math. Phys
  • J. Math. Phys
  • 1995
...
...