# 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} }

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…

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## References

SHOWING 1-10 OF 14 REFERENCES

### Perturbative Quantum Electrodynamics and Axiomatic Field Theory

- PhysicsTexts and Monographs in Physics
- 2000

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

- Mathematics
- 1967

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

- Education, PhysicsNature
- 1947

The following people have maintained these notes.

### Infrared Problem, Higgs Phenomenon and Long Range Interactions

- Physics
- 1986

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…

### Commun

- Math. Phys. 85
- 1982

### Phys. Lett. B

- Phys. Lett. B
- 1980