The c and a-Theorems and the Local Renormalisation Group

• Main Author: Shore, Graham (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Physics,
• Subjects: Physics.; Mathematical physics.; Quantum field theory.; String theory.; Quantum Field Theories, String Theory.; Mathematical Physics.; Mathematical Methods in Physics.

The Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs. The present primer introduces and reviews the parallel developments of the search for a higher-dimensional generalisation of the c-theorem and o...

Table of Contents:

• Introduction
• Renormalisation and the Conformal Anomaly
• The Local Renormalisation Group and Weyl Consistency Conditions
• c-Theorem in Two Dimensions
• Local RGE and Weyl Consistency Conditions in Four Dimensions
• c, b and a-Theorems in Four Dimensions
• Global Symmetries and Limit Cycles
• Summary and Outlook.