Title The c and a-Theorems and the Local Renormalisation Group Author(s) Shore, Graham Publication Cham, Springer International Publishing, 2017. Description VII, 102 p. 5 illus., 3 illus. in color : online resource Abstract Note 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 of the Local RG (LRG). The idea of renormalisation with position-dependent couplings, running under local Weyl scaling, is traced from its early realisations to the elegant modern formalism of the LRG. The key r??le of the associated Weyl consistency conditions in establishing RG flow equations for the coefficients of the trace anomaly in curved spacetime, and their relation to the c-theorem and four-dimensional a-theorem, is explained in detail. A number of different derivations of the c-theorem in two dimensions are presented and subsequently generalised to four dimensions. The obstructions to establishing monotonic C-functions related to the trace anomaly coefficients in four dimensions are explained. The possibility of deriving an a-theorem for the coefficient of the Euler-Gauss-Bonnet density is explored, initially by formulating the QFT on maximally symmetric spaces. Then the formulation of the weak a-theorem using a dispersion relation for four-point functions is presented. Finally, the application of the LRG to the issue of limit cycles in theories with a global symmetry is described, shedding new light on the geometry of the space of couplings in QFT ISBN,Price 9783319540009 Keyword(s) 1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. PHYSICS 6. Quantum Field Theories, String Theory 7. QUANTUM FIELD THEORY 8. STRING THEORY Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I10302     On Shelf