1. Probing the Quantum Vacuum : Perturbative Effective Action Approach in Quantum Electrodynamics and its Application
by Walter Dittrich 
Price: USD 185.74
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2. Probing the Quantum Vacuum : Perturbative Effective Action Approach in Quantum Electrodynamics and its Application
by Holger Gies 
Price: USD 183.61
Dealer: AbebooksDE, AHA-BUCH GmbH
Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer Berlin Heidelberg] Hardcover Druck auf Anfrage Neuware - Printed after ordering - 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. [Einbeck, Germany] [Publication Year: 2000]  

3. Probing the Quantum Vacuum : Perturbative Effective Action Approach in Quantum Electrodynamics and its Application
by Holger Gies 
Price: USD 164.03
Dealer: ZVAB, AHA-BUCH GmbH
Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer Berlin Heidelberg] Hardcover Druck auf Anfrage Neuware - Printed after ordering - 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. [Einbeck, Germany] [Publication Year: 2000]  

4. Probing the Quantum Vacuum
by Walter Dittrich Holger Gies 
Price: USD 197.84
Dealer: Biblio, Cold Books
Description: Springer , pp. 260 . Hardback. New. Springer ISBN 3540674284 9783540674283 [US] 

5. Probing the Quantum Vacuum. Perturbative Effective Action Approach in Quantum Electrocynamics and its Application.
by Dittrich, W. / Gies, H. 
Price: USD 222.76
Dealer: AbebooksDE, Antiquariat am Flughafen
Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Berlin / Heidelberg / New York. Springer. 2000.] Softcover Hardcover gr. 8°. xi, 241 pages, with 16 figures, some small marks of use, really good condition. Springer Tracts in Modern Physics 166. in englischer Sprache (in english) [Berlin, Germany] [Publication Year: 2000]  

6. Probing the Quantum Vacuum. Perturbative Effective Action Approach in Quantum Electrocynamics and its Application.
by Dittrich, W. / Gies, H. 
Price: USD 199.00
Dealer: ZVAB, Antiquariat am Flughafen
Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Berlin / Heidelberg / New York. Springer. 2000.] Softcover Hardcover gr. 8°. xi, 241 pages, with 16 figures, some small marks of use, really good condition. Springer Tracts in Modern Physics 166. in englischer Sprache (in english) [Berlin, Germany] [Publication Year: 2000]  

7. PROBING THE QUANTUM VACUUM: PERT
by Dittrich, Walter; Gies, Holger 
Price: USD 303.00
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Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover New. In shrink wrap. Looks like an interesting title! 0.6 [North Las Vegas, NV, U.S.A.] [Publication Year: 2000]  

8. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics (166)) (v. 166) by Dittrich, Walter, Gies, Holger [Hardcover ]
by Dittrich, Walter , Gies, Holger  
Price: USD 65.80
Dealer: Abebooks, booksXpress
Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover [Bayonne, NJ, U.S.A.] [Publication Year: 2000]  

9. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics (166)) (v. 166)
by Dittrich, Walter, Gies, Holger 
Price: USD 266.25
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Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover Like New [Redhill, SURRE, United Kingdom] [Publication Year: 2000]  

10. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and Its Application (Springer Tracts in Modern Physics, 166)
by Dittrich, Walter 
Price: USD 80.32
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Description: Springer 2000 2000 ed. hardcover Good Access codes and supplements are not guaranteed with used items. May be an ex-library book. 

11. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and Its Application (Springer Tracts in Modern Physics, 166)
by Dittrich, Walter 
Price: USD 119.50
Dealer: Alibris, Bonita via Alibris
Description: Springer 2000 2000 ed. hardcover New 

12. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics, 166)
by Dittrich, Walter; Gies, Holger 
Price: USD 181.21
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Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover Very Good condition. Shows only minor signs of wear, and very minimal markings inside (if any). 0.6 [Tucson, AZ, U.S.A.] [Publication Year: 2000]  

13. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics, 166)
by Dittrich, Walter; Gies, Holger 
Price: USD 182.21
Dealer: Abebooks, Book Deals
Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover New! This book is in the same immaculate condition as when it was published 0.6 [Tucson, AZ, U.S.A.] [Publication Year: 2000]  

14. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics, 166)
by Dittrich, Walter; Gies, Holger 
Price: USD 181.11
Dealer: Abebooks, Book Deals
Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover Acceptable/Fair condition. Book is worn, but the pages are complete, and the text is legible. Has wear to binding and pages, may be ex-library. 0.6 [Tucson, AZ, U.S.A.] [Publication Year: 2000]  

15. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics, 166)
by Dittrich, Walter; Gies, Holger 
Price: USD 181.11
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Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover Buy with confidence! Book is in acceptable condition with wear to the pages, binding, and some marks within 0.6 [Amherst, NY, U.S.A.] [Publication Year: 2000]  

16. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics, 166)
by Dittrich, Walter; Gies, Holger 
Price: USD 181.20
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Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting. 0.6 [Hawthorne, CA, U.S.A.] [Publication Year: 2000]  

17. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics, 166)
by Dittrich, Walter; Gies, Holger 
Price: USD 182.20
Dealer: Abebooks, GF Books, Inc.
Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover Book is in NEW condition. 0.6 [Hawthorne, CA, U.S.A.] [Publication Year: 2000]  

18. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics, 166)
by Dittrich, Walter; Gies, Holger 
Price: USD 178.25
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Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover [Dallas, TX, U.S.A.] [Publication Year: 2000]  

19. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application Springer Tracts in Modern Physics 166
by Dittrich Walter 
Price: USD 89.48
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Description: hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. ISBN 3540674284 9783540674283 [US] 

20. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application Springer Tracts in Modern Physics 166
by Dittrich Walter; Gies Holger 
Price: USD 318.15
Dealer: Biblio, GridFreed LLC
Description: Springer, Date: 2000-07-14. Hardcover. New. New. In shrink wrap. Looks like an interesting title! 2000. Springer ISBN 3540674284 9783540674283 [US] 

21. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and Its Application
by Dittrich, Walter, and Gies, Holger 
Price: USD 159.69
Dealer: Alibris
Description: Berlin, Heidelberg Springer 2000 2000 ed. Hard cover New. Sewn binding. Cloth over boards. 244 p. Contains: Unspecified. Springer Tracts in Modern Physics, 166. 

22. Probing the Quantum Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and Its Application
by Dittrich, Walter, and Gies, Holger 
Price: USD 183.10
Dealer: Alibris, ShopSpell via Alibris
Description: Berlin, Heidelberg Springer 2000 2000 ed. Hard cover New. Sewn binding. Cloth over boards. 244 p. Contains: Unspecified. Springer Tracts in Modern Physics, 166. 

23. Probing the Quantum Vacuum
by Walter Dittrich Holger Gies 
Price: USD 203.03
Dealer: Abebooks, Books Puddle
Description: ISBN10: 3540674284, ISBN13: 9783540674283, [publisher: Springer] Hardcover pp. 260 [New York, NY, U.S.A.] [Publication Year: 2000]