The c and a-Theorems and the local renormalisation group. (2017)

• Record Type: Book
• Further Information: Note: Graham Shore.
• Authors: Shore, Graham
• Contents: Abstract; 1 Introduction; 1.1 Scale, Conformal and Weyl Invariance; 1.2 Renormalisation Group Flows and the Zamolodchikovc-Theorem; 1.3 Local Renormalisation Group; 2 Renormalisation and the Conformal Anomaly; 2.1 Renormalisation and Local Couplings; 2.2 Trace Anomaly; 2.3 Renormalisation of Two-Point Green Functions; 3 The Local Renormalisation Group and WeylConsistency Conditions; 3.1 Diffeomorphism and Anomalous Weyl Ward Identities; 3.2 Renormalisation Group and Green Functions; 3.3 Weyl Consistency Conditions; 3.4 Local RGE and Weyl Consistency Conditions. 4 c-Theorem in Two Dimensions4.1 c-Theorem and the Spectral Function ; 4.2 c-Theorem and Renormalisation Group Flow; 4.3 c-Theorem in Position Space; 4.4 c-Theorem and Dispersion Relations; 5 Local RGE and Weyl Consistency Conditions in Four Dimensions; 5.1 Local RGE, Trace Anomaly and Weyl Consistency Conditions; 5.2 Renormalisation Group and Anomalous Ward Identities for Green Functions; 5.3 Weyl Consistency Conditions; 6 c, b and a-Theorems in Four Dimensions; 6.1 Spectral Functions and the c and b 'Theorems'; 6.2 Renormalisation Group Flow for the c and b 'Theorems' 6.3 Weyl Consistency Conditions and the a-Theorem7 Local RGE and Maximally Symmetric Spaces; 7.1 Renormalisation Group, Weyl Consistency Conditions and the a-Theorem; 7.2 RG Flow of on Maximally Symmetric Spaces; 7.3 Zamolodchikov Functions and the Search for a C-Theorem on the Sphere; 7.3.1 Geometry of Constant Curvature Spaces; 7.3.2 Two-Point Green Functions and Conservation Identities; 7.3.3 The Zamolodchikov C-Function on the Sphere; 7.3.4 Dimensional Analysis and RG Flow of the C-Function; 8 The Weak a-Theorem and 4-Point Green Functions; 9 Global Symmetries and Limit Cycles. 9.1 Global Symmetries and Weyl Consistency Conditions9.2 Limit Cycles; 10 Summary and Outlook; A Counterterms for Renormalised Green Functions; B RGEs for Two-Point Green Functions; C Zamolodchikov Functions in n Dimensions; References.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (vii, 102 pages), illustrations (some color)
• Subjects: 530.15; 530; Physics; Renormalization group; Mathematical physics; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Mathematical physics; Renormalization group; Physics; Quantum Field Theories, String Theory; Mathematical Physics; Mathematical Methods in Physics; Science -- Mathematical Physics; Mathematical physics; Science -- Quantum Theory; Statistical physics; Electronic books
• Languages: English
• ISBNs: 9783319540009; 3319540009
• Related ISBNs: 9783319539997; 331953999X
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed April 11, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.