The c and a-Theorems and the Local Renormalisation Group

1. Introduction
Graham Shore

2. Renormalisation and the Conformal Anomaly
Graham Shore

3. The Local Renormalisation Group and Weyl Consistency Conditions
Graham Shore

4. c-Theorem in Two Dimensions
Graham Shore

5. Local RGE and Weyl Consistency Conditions in Four Dimensions
Graham Shore

6. c, b and a-Theorems in Four Dimensions
Graham Shore

7. Local RGE and Maximally Symmetric Spaces
Graham Shore

8. The Weak a-Theorem and 4-Point Green Functions
Graham Shore

9. Global Symmetries and Limit Cycles
Graham Shore

10. Summary and Outlook
Graham Shore

Keywords: Physics, Quantum Field Theories, String Theory, Mathematical Physics, Mathematical Methods in Physics