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.

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

Local Causal Structures, Hadamard States and the Principle of Local Covariance in Quantum Field Theory

In the framework of the algebraic formulation, we discuss and analyse some new features of the local structure of a real scalar quantum field theory in a strongly causal spacetime. In particular, we

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

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

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

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

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

References

SHOWING 1-10 OF 14 REFERENCES

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

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,

Methods of Mathematical Physics

The following people have maintained these notes.

Methods of Mathematical Physics, Vol. I

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

Theory of Photons and Electrons

Local quantum physics

Commun

  • Math. Phys. 85
  • 1982

Phys. Lett. B

  • Phys. Lett. B
  • 1980

Poland e-mail: herdegen@th.if.uj.edu.pl Communicated by Klaus Fredenhagen