Read e-book online Effective Lagrangians in Quantum Electrodynamics (Lecture PDF

By W. Dittrich, M. Reuter

ISBN-10: 0387151826

ISBN-13: 9780387151823

ISBN-10: 3540151826

ISBN-13: 9783540151821

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Extra info for Effective Lagrangians in Quantum Electrodynamics (Lecture Notes in Physics)

Example text

Furthermore, in appendix B, we apply the same techniques to scalar QED. Thereafter, in section (7), the two-loop calculation is performed 28 with all renormalizations executed along the lines of conventional operator field theory. How the problem can be reformulated in the framework of Schwinger's Source Theory [29,30] is shown in appendix F. In section (8), we come back to L (I), which is now considered from the viewpoint of renormalization group equations [4,12,31- 3S]. Finally, section (9) contains a further discussion of the QED vacuum structure as well as an outlook on some of the corresponding problems in quantum chromodynamics.

4) The Polarization Tensor in a Constant External Magnetic Field A further important building block for higher-order processes in QED is the polarization tensor, which we shall calculate to the order ~ in this section. 48b) This equation corresponds exactly to Schwinger's [3] and Ritus' [4] results, but was achieved by completely different methods. (4) The Polarization Tensor in a Constant External Magnetic Field A further important building block for higher-order processes in QED is the polarization tensor, which we shall calculate to the order ~ in this section.

34) Using a simple example, we also consider the case of finite temperature [18,19], which, as we shall see, possesses a formal analogy to the Casimir effect [20-23]. This is briefly shown in appendix C. Furthermore, in appendix B, we apply the same techniques to scalar QED. Thereafter, in section (7), the two-loop calculation is performed 28 with all renormalizations executed along the lines of conventional operator field theory. How the problem can be reformulated in the framework of Schwinger's Source Theory [29,30] is shown in appendix F.

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Effective Lagrangians in Quantum Electrodynamics (Lecture Notes in Physics) by W. Dittrich, M. Reuter


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