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Identifying the Phases of Gauge Theories with Anomaly-Mediated Supersymmetry Breaking

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Abstract

We discuss recent developments in the understanding of non-supersymmetric gauge theories that have come from deforming supersymmetric (SUSY) gauge theories with anomaly-mediated supersymmetry breaking (AMSB). While the phases of SUSY gauge theories have been well understood since the 1990's, until recently there has been difficulty applying this knowledge to the non-supersymmetric versions of these theories. This dissertation reports significant steps in this direction. First, and with most relevance to real-world Quantum Chromodynamics (QCD), AMSB is applied to SU(Nc) theories with fundamental quarks, where we discuss the stability of novel chiral symmetry breaking minima. Considerable discussion is devoted to the presence or absence of baryonic runaway directions in the various theories. Second, we analyze SO(Nc) theories with vector-like quarks. In the particular case of Nf=Nc−2 quarks, the theory has monopoles which condense upon the application of AMSB, leading to confinement via the dual Meissner effect. With a series of dualities and mass deformations, we extend this result to show that a wide class of SO(Nc) theories lie in the confining phase. Again, we demonstrate the occurrence of chiral symmetry breaking in all of these theories.

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72 pages

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2023-08

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Keywords

chiral symmetry breaking; confinement; gauge theory; supersymmetry

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Committee Chair

Csaki, Csaba

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Perelstein, Maxim
Wittich, Peter

Degree Discipline

Physics

Degree Name

Ph. D., Physics

Degree Level

Doctor of Philosophy

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Government Document

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Attribution 4.0 International

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dissertation or thesis

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