Abstract

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 time, some of the conclusions these recent works put forward may prove controversial. In view of these facts, we find it desirable to revisit the analysis taken up more than two decades ago, starting from earlier works on null infinity by other authors.

Highlights

  • 1 Introduction In a series of recent articles—see [24] and [8] and works cited there—a group of authors report on new conservation laws and symmetries both in classical and quantum electrodynamics

  • In the context set by these investigations there is a noticeable interest in the literature in the so-called memory effects, both in gravitation, as well as electrodynamics

  • The standard technique usually employed for handling this problem was proposed by Dollard [12] and in quantum electrodynamics was applied by Kulish and Faddeev [26]

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Summary

Introduction

In a series of recent articles—see [24] and [8] and works cited there—a group of authors report on new conservation laws and symmetries both in classical and quantum electrodynamics. These structures are supposed to be encoded in the asymptotic properties of electrodynamics. In the context set by these investigations there is a noticeable interest in the literature in the so-called memory effects, both in gravitation, as well as electrodynamics (see [24,28] and works cited there)

Herdegen
Invariant measure on the set of lightlike directions
Homogeneous Maxwell equations
Step 1
Step 2: null asymptotes
Step 3: fields of electric type
Matter–radiation system: timelike infinity
Invariant structures and conserved quantities
Electromagnetic memory
Quantum theory
10 Construction of the algebra
11 Gauge invariance
12 Representations
13 Variables at spacelike infinity and quantum transformations induced by them
14 Scattering
15 Concluding remarks

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