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Springer Tracts in Modern Physics

Perturbative Effective Action Approach in Quantum Electrodynamics and its Application

By: Walter Dittrich, Holger Gies

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Hardcover | 14 July 2000

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260 Pages

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23.5 x 15.88 x 1.91

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This book is devoted to an investigation of the vacuum of quantum elec trodynamics (QED), relying on the perturbative effective action approach. If the vacuum is probed with external perturbations, the response of the system can be analyzed after averaging over the high energy degrees of freedom. This results in an effective description of the properties of the vacuum, which are comparable to the properties of a classical medium. We concentrate primarily on the physics of slowly varying fields or soft photons by integrating out the high energy degrees of freedom, i.e. the elec trons, employing Schwinger's proper time method. We derive a new represen tation of the one loop photon polarization tensor, coupling to all orders to an arbitrary constant electromagnetic field, fully maintaining the dependence on the complete set of invariants. On the basis of effective Lagrangians, we derive the light cone condition for low frequency photons propagating in strong fields. Our formalism can be extended to various external perturbations, such as temperature and Casimir situations. We give a proof of the "unified formula" for low energy phenom ena that describes the refractive indices of various perturbed quantum vacua. In the high energy domain, we observe similarities between a vacuum with a superstrong magnetic field and a magnetized plasma. The question of mea surability of the various effects is addressed; a violation of causality is not found.

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Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Classical Mathematics Wave Mechanics including Vibration & Acoustics Particle & High-Energy Physics Nuclear Physics

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Paperback

Published: 8th December 2010

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Introduction	p. 1
Nonlinear Electrodynamics: Quantum Theory	p. 3
Nonlinear Electrodynamics: Effective-Action Approach	p. 61
QED in Two Spatial Dimensions	p. 155
Scattering of Light by Light	p. 181
Units, Metric and the Gamma Matrices	p. 191
Invariants and Spectral Representation	p. 193
More about the Communtator [sigma][mu][nu] of Dirac Matrices	p. 198
Elementary Calculations	p. 204
Finite-Temperature Coordinate Frame	p. 213
Two-Loop Effcctive Action of QED at Zero Temperature	p. 227
References	p. 230
Index	p. 237
Table of Contents provided by Blackwell. All Rights Reserved.

Springer Tracts in Modern Physics

Perturbative Effective Action Approach in Quantum Electrodynamics and its Application

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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