- Chapter 1: Definition of the Problem and Renormalization
- Chapter 2: Lamb Shift
- Chapter 3: The Hartree-Fock Approximation
- Chapter 4: Existence of Solutions of the No-Pair Hartree-Fock Equations

References:

E. H. Lieb and H. Siedentop: Renormalization of the regularized relativistic electron-positron field. Comm. Math. Phys.

**213**(2000), no. 3, 673-683;

References:

C. Hainzl and H. Siedentop: Non-perturbative mass and charge renormalization in relativistic no-photon quantum electrodynamics. Comm. Math. Phys. In press

References:

V. Bach, J.-M. Barbaroux, B. Helffer, and H. Siedentop: On the stability of the relativistic electron-positron field. Comm. Math. Phys.

**201 (**1999), no. 2, 445-460V. Bach, J.-M. Barbaroux, B. Helffer, and H. Siedentop: Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Documenta Mathematica

**3 (**1998) 353--364

References:

J.-M. Barbaroux, W. Farkas, B. Helffer, D. Hundertmark, and H. Siedentop: On the Hartree-Fock equations of the electron-positron field: In preparation

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