Application of Canonical Effective Methods to Background-Independent Theories
Open Access
Author:
Buyukcam, Umut
Graduate Program:
Physics
Degree:
Doctor of Philosophy
Document Type:
Dissertation
Date of Defense:
June 07, 2017
Committee Members:
Martin Bojowald, Dissertation Advisor/Co-Advisor Martin Bojowald, Committee Chair/Co-Chair Murat Gunaydin, Committee Member Richard Wallace Robinett, Committee Member Ping Xu, Outside Member
Effective formalisms play an important role in analyzing phenomena above some given length scale when complete theories are not accessible. In diverse exotic but physically important cases, the usual path-integral techniques used in a standard Quantum Field Theory approach seldom serve as adequate tools. This thesis exposes a new effective method for quantum systems, called the Canonical Effective Method, which owns particularly wide applicability in background-independent theories as in the case of gravitational phenomena. The central purpose of this work is to employ these techniques to obtain semi-classical dynamics from canonical quantum gravity theories. Application to non-associative quantum mechanics is developed and testable results are obtained. Types of non-associative algebras relevant for magnetic-monopole systems are discussed. Possible modifications of hypersurface deformation algebra and the emergence of effective space-times are presented.
