Unusual Signs in Quantum Field Theory

Author: O'Connell, Dónal

Year: 2007

Degree: Dissertation (Ph.D.)

Advisor: Wise, Mark B.

Committee Members: Wise, Mark B.; Filippone, Bradley W.; Preskill, John P.; Ramsey-Musolf, Michael J.

Option: Physics

DOI: 10.7907/FEFB-JZ53

Abstract

Quantum field theory is by now a mature field. Nevertheless, certain physical phenomena remain difficult to understand. This occurs in some cases because well-established quantum field theories are strongly coupled and therefore difficult to solve; in other cases, our current understanding of quantum field theory seems to be inadequate. In this thesis, we will discuss various modifications of quantum field theory which can help to alleviate certain of these problems, either in their own right or as a component of a greater computational scheme. The modified theories we will consider all include unusual signs in some aspect of the theory. We will also discuss limitations on what we might expect to see in experiments, imposed by sign constraints in the customary formulation of quantum field theory.

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• thesis.pdf (application/pdf)