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The Schwinger-Dyson Equations and Gluon Bound States of QCD

Meyers, Joseph (2015) The Schwinger-Dyson Equations and Gluon Bound States of QCD. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Nonperturbative techniques in quantum field theory, such as lattice gauge theory, Schwinger- Dyson equations, and applications of the renormalization group, have been successful in describing both the propagator functions and bound states of various theories, most notably those of quarks and hadrons in Quantum Chromodynamics (QCD). The Schwinger-Dyson theoretical framework is presented from basic principles and developed, through examples in a variety of quantum field theories, as a general numerical approach which can yield valuable insight into quantum phenomenology. Explorations include the studies which I have performed to extend bound state theory to the gauge sector of QCD, including the influence of both gluon and ghost fields. This allows for the description of gluon bound states (“glueballs”), which are theoretically viable explanations for previously unidentified resonances in experimental particle searches, and is treated for the first time using the Bethe-Salpeter formalism. This description is sufficiently robust to explore the spectrum of glueballs and provide commentary on the potential for investigation of valence gluon content in meson bound states. Additionally, the first investigation of the full two-loop gluon gap equation is presented and discussed, along with general commentary on the current state of nonperturbative QCD. This computation yields the dressed propagators for quarks, gluons, and ghosts from the coupled set of equations.


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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairSwanson, Ericswansone@pitt.eduSWANSONE
Committee MemberFreitas, Ayresafreitas@pitt.eduAFREITAS
Committee MemberSavinov,
Committee MemberZentner, Andrewzentner@pitt.eduZENTNER
Committee MemberMorningstar,
Date: 14 January 2015
Date Type: Publication
Defense Date: 3 December 2014
Approval Date: 14 January 2015
Submission Date: 5 December 2014
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 166
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Physics
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Theoretical physics, particle physics, quantum physics
Date Deposited: 14 Jan 2015 14:02
Last Modified: 15 Nov 2016 14:25


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