Θεωρήματα μονοτονίας στην ροή ομάδας επανακανονικοποίσης

Καραγεώργος, Λεωνίδας Αναστάσιος; Karageorgos, Leonidas Anastasios

dc.contributor.author	Καραγεώργος, Λεωνίδας Αναστάσιος	el
dc.contributor.author	Karageorgos, Leonidas Anastasios	en
dc.date.accessioned	2023-10-18T11:24:46Z
dc.date.available	2023-10-18T11:24:46Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/58213
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.25909
dc.description	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Φυσική και Τεχνολογικές Εφαρμογές”	el
dc.rights	Default License
dc.subject	Σύμμορφη θεωρία πεδίου	el
dc.subject	Κβαντική Θεωρία Πεδίου	el
dc.subject	Επανακανονικοποίηση	el
dc.title	Θεωρήματα μονοτονίας στην ροή ομάδας επανακανονικοποίσης	el
heal.type	masterThesis
heal.secondaryTitle	Monotonicity Theorems on Renormalization Group flow	en
heal.classification	Θεωρητική Φυσική	el
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2023-06-20
heal.abstract	In Chapter 1, a comprehensive introduction to conformal symmetry is presented, starting with an overview of d-dimensional space-time conformal transformations and the structure of the conformal group. The extension of conformal symmetry to classical field theory is then discussed, including the proof of the traceless energy-momentum tensor for conformal invariant theories. The constraints imposed by conformal invariance on quantum field theories are also examined. Chapter 2 focuses on fundamental concepts of renormalization and the renormalization group (RG) flow, employing the Wilsonian approach. The renormalization process of pseudoscalar Yukawa theory is presented as an illustrative example. Chapter 3 provides a detailed analysis of the emergence of the trace anomaly in conformal field theories within curved space. Chapter 4 centers around the reproduction of Zomolochikov’s C-theorem, which establishes the irreversibility of the RG flow for two-dimensional renormalizable field theories. Additionally, the application of this theorem to the massive Thiring Model is discussed. Finally, Chapter 5 demonstrates that Zomolochikov’s approach is not applicable to theories in dimensions other than two . By incorporating Cardy’s conjecture regarding the one-point function of the trace, the proof of the a-theorem is reconstructed by considering the RG flow as a manifestation of spontaneously broken conformal symmetry as Komargodski and Schwimmer originally did.	en
heal.advisorName	Ήργες, Νίκος	el
heal.committeeMemberName	Ήργες, Νίκος	el
heal.committeeMemberName	Μαυρόματος, Νίκος	el
heal.committeeMemberName	Κουτσούμπας, Γεώργιος	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Εφαρμοσμένων Μαθηματικών και Φυσικών Επιστημών	el
heal.academicPublisherID	ntua
heal.numberOfPages	61 σ.	el
heal.fullTextAvailability	false