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.

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

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