dc.contributor.advisor Fleming, Sean P. dc.contributor.author Hill, Andrew dc.creator Hill, Andrew dc.date.accessioned 2021-02-20T02:33:57Z dc.date.available 2021-02-20T02:33:57Z dc.date.issued 2020 dc.identifier.citation Hill, Andrew. (2020). Calculation of the Resummed Radiation Reaction to Order 1/M Using Heavy Fermion Effective Theory (Doctoral dissertation, University of Arizona, Tucson, USA). dc.identifier.uri http://hdl.handle.net/10150/656843 dc.description.abstract The Abraham-Lorentz-Dirac equation, which is the widely-accepted expression for the recoil force experienced by a radiating charge (known as the \textit{radiation reaction}), displays strange, unphysical behavior. As such, it has been rife with controversy and confusion for over a century. For most of that time, these issues were treated mostly as curiosities and left to the musings of theoreticians. But the advent of high-intensity pulsed tabletop lasers in recent decades has made the radiation reaction relevant to modern experimental physics, which has led to a resurgence of research into the topic. In this dissertation, we calculate the radiation reaction to order $m^{-1}$ experienced by a charge of mass $m$ in an external electromagnetic field resulting from emission of a single photon. To accomplish this, we use heavy fermion effective theory (HFET), which is an effective field theory of QED, and model the total electromagnetic field as the superposition of a quantized self-field associated with the charge and a classical external field. HFET is a novel approach that greatly simplifies the calculation compared to full QED. The simplified calculations allow us to resum our force expression to all orders in $e A_{\text{cl}}$, where $A_{\text{cl}}$ is the background field; this is a novel result. Wilson lines arise in our expressions as a result of resummation. dc.language.iso en dc.publisher The University of Arizona. dc.rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction, presentation (such as public display or performance) of protected items is prohibited except with permission of the author. dc.subject effective field theory dc.subject heavy fermion dc.subject quantum field theory dc.subject radiation dc.subject radiation reaction dc.title Calculation of the Resummed Radiation Reaction to Order 1/M Using Heavy Fermion Effective Theory dc.type text dc.type Electronic Dissertation thesis.degree.grantor University of Arizona thesis.degree.level doctoral dc.contributor.committeemember Rutherfoord, John dc.contributor.committeemember Su, Shufang dc.contributor.committeemember Gralla, Samuel E. dc.contributor.committeemember Meinel, Stefan thesis.degree.discipline Graduate College thesis.degree.discipline Physics thesis.degree.name Ph.D. refterms.dateFOA 2021-02-20T02:33:57Z
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