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

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

File(s)
Gomes_cornellgrad_0058F_13715.pdf (512.44 KB)
Permanent Link(s)
https://doi.org/10.7298/6s9h-az49
https://hdl.handle.net/1813/114637
Collections
Cornell Theses and Dissertations
Author
Gomes, Andrew Wesley
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 $SU(N_c)$ 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 $SO(N_c)$ theories with vector-like quarks. In the particular case of $N_f = N_c - 2$ 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 $SO(N_c)$ theories lie in the confining phase. Again, we demonstrate the occurrence of chiral symmetry breaking in all of these theories.

Description
72 pages
Date Issued
2023-08
Keywords
chiral symmetry breaking
•
confinement
•
gauge theory
•
supersymmetry
Committee Chair
Csaki, Csaba
Committee Member
Perelstein, Maxim
Wittich, Peter
Degree Discipline
Physics
Degree Name
Ph. D., Physics
Degree Level
Doctor of Philosophy
Rights
Attribution 4.0 International
Rights URI
https://creativecommons.org/licenses/by/4.0/
Type
dissertation or thesis
Link(s) to Catalog Record
https://newcatalog.library.cornell.edu/catalog/16219504

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