Probing the uantum VacuumPerturbative Effective Action ´ Kindle livesheep.pro

Probing the uantum VacuumPerturbative Effective Action ´ Kindle livesheep.pro

➵ Probing the uantum VacuumPerturbative Effective Action Approach in uantum Electrodynamics and its Application Read ➼ Author Walter Dittrich – Livesheep.pro This book is devoted to an investigation of the vacuum of uantum elec trodynamics ED relying on the perturbative effective action approach If the vacuum is probed with external perturbations the respoThis book is devoted to an investigation of the vacuum of uantum elec trodynamics ED 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 ie 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 freuency 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 uantum vacua In the high energy domain we observe similarities between a vacuum with a superstrong magnetic field and a magnetized plasma The uestion of mea surability of the various effects is addressed; a violation of causality is not found.

This book is devoted to an investigation of the vacuum of uantum elec trodynamics ED 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 ie 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 freuency 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 uantum vacua In the high energy domain we observe similarities between a vacuum with a superstrong magnetic field and a magnetized plasma The uestion of mea surability of the various effects is addressed; a violation of causality is not found.

probing pdf uantum kindle vacuumperturbative kindle effective kindle action epub approach kindle uantum mobile electrodynamics ebok application kindle Probing the pdf uantum VacuumPerturbative free uantum VacuumPerturbative Effective Action pdf the uantum VacuumPerturbative book the uantum VacuumPerturbative Effective Action kindle Probing the uantum VacuumPerturbative Effective Action Approach in uantum Electrodynamics and its Application PDF/EPUBThis book is devoted to an investigation of the vacuum of uantum elec trodynamics ED 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 ie 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 freuency 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 uantum vacua In the high energy domain we observe similarities between a vacuum with a superstrong magnetic field and a magnetized plasma The uestion of mea surability of the various effects is addressed; a violation of causality is not found.

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