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FieldTheory__

Chu, Yi-Zen
http://rave.ohiolink.edu/etdc/view?acc_num=case1275928471

Abstract Details

2010, Doctor of Philosophy, Case Western Reserve University, Physics.
This thesis describes theoretical physics research performed by the author mainly from Summer 2007 through Spring 2010. Two common threads run through this body of work: they involve various aspects of quantum and classical field theory; and the extensive use of mma. But it otherwise spans a broad range of subjects. We first show that, contrary to claims in the literature, fermions can definitely form bound states on kink-antikinks. Next we borrow techniques from perturbative quantum field theory to calculate the effective dynamics of the n-body problem in classical General Relativity, up to 𝓞 [(v/c)4] beyond Newtonian gravity, where v is the typical speed of the n compact objects. Following that, we exploit the bosonized version of quantum electrodynamics in two dimensional Minkowski spacetime to solve the backreaction problem of fermion-antifermion pair production for two “capacitor” setups, i.e. with a initial electric field localized in space. Finally, we examine the rates of fermion-antifermions pair production due to the time dependent U[1] gauge vector potential around an oscillating solenoid and that of cosmic string loops.
Tanmay Vachaspati (Committee Chair)
Glenn Starkman (Committee Member)
Mark Meckes (Committee Member)
Harsh Mathur (Committee Member)
274 p.
Physics
Quantum field theory; General Relativity; Fermion zero modes; Solitons; Kinks; Antikinks; Cosmic Strings; Effective field theory; Aharonov-Bohm effect; Particle production; Backreaction

Recommended Citations

Citations

  • Chu, Y.-Z. (2010). FieldTheory__ [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1275928471

    APA Style (7th edition)

  • Chu, Yi-Zen. FieldTheory__. 2010. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1275928471.

    MLA Style (8th edition)

  • Chu, Yi-Zen. "FieldTheory__." Doctoral dissertation, Case Western Reserve University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=case1275928471

    Chicago Manual of Style (17th edition)

case1275928471
731
© 2010, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.