A Convergent Continuum Strong Coupling Expansion for Quantum Mechanics & Quantum Field Theory/String...

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" A Convergent Continuum Strong Coupling Expansion for Quantum Mechanics & Quantum Field Theory/String Tensions in Deformed Yang-Mills theory "
Shalchian Tabrizi, Mohammad Erfan Poppitz, Erich

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1052625
Doc. No	:	TL51742
Main Entry	:	Shalchian Tabrizi, Mohammad Erfan
Title & Author	:	A Convergent Continuum Strong Coupling Expansion for Quantum Mechanics Quantum Field Theory/String Tensions in Deformed Yang-Mills theory\ Shalchian Tabrizi, Mohammad ErfanPoppitz, Erich
College	:	University of Toronto (Canada)
Date	:	2019
Degree	:	Ph.D.
student score	:	2019
Note	:	178 p.
Abstract	:	This Thesis is a collection of three different works: "A Convergent Continuum Strong Coupling Expansion For Quantum Mechanics \& Quantum Field Theory": The notion of an asymptotic weak coupling expansion about an exactly solvable model in QM and QFT is generalized to an all positive value coupling convergent expansion. This is done by rescaling the variables available in the theory by free parameters, then adding and subtracting the exactly solvable model. The rest (initial rescaled theory by free parameters + the subtracted exactly solvable model) is expanded about the added exactly solvable model. Evaluating finite orders of this expansion at its extremum points with respect to the free parameter(s) gives a sequence that converges to the result of the previous asymptotic expansion. This method is applied to quantum mechanics and quantum field theory. The electron g-factor calculation is improved at the one loop level using this method. "String Tensions in Deformed Yang-Mills Theory": Yang-Mills theory defined on
Descriptor	:	Mathematics
	:	Particle physics
	:	Physics
Added Entry	:	Poppitz, Erich
Added Entry	:	University of Toronto (Canada)