자료유형 | 학위논문 |
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서명/저자사항 | Ultraviolet Behavior of Supergravity Amplitudes. |
개인저자 | Edison, Alexander Christian. |
단체저자명 | University of California, Los Angeles. Physics 0666. |
발행사항 | [S.l.]: University of California, Los Angeles., 2019. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
형태사항 | 168 p. |
기본자료 저록 | Dissertations Abstracts International 81-05B. Dissertation Abstract International |
ISBN | 9781088383865 |
학위논문주기 | Thesis (Ph.D.)--University of California, Los Angeles, 2019. |
일반주기 |
Source: Dissertations Abstracts International, Volume: 81-05, Section: B.
Advisor: Bern, Zvi. |
이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
요약 | In this manuscript, we detail three recent calculations addressing the ultraviolet behavior of supersymmetric quantum gravity. First, we revisit the classic calculation of the two-loop pure gravity divergence. We argue that the 1/琯 divergence is regulator and duality dependent. In its place, we propose that examining the running of the scaling parameter, log 關, is a duality and regulator independent approach to assessing gravity divergences in four dimensions. We explicitly calculate the log 關 coefficient at two loops for gravity with any particle content, explicitly verifying the divergences for pure gravity, and the finiteness for supersymmetric gravities. Second, we analyze fully-integrated N=4 supergravity at one loop using the double copy. We find that there are evanescent effects at one loop that come directly from evanescent terms in pure-Yang-Mills. Using this observation, we lay the groundwork for deeper analysis of the U(1) anomaly with respect to the observed evanescent behavior. Finally, we tackle the long-standing question of the critical dimension of N=8 supergravity at five loops. We construct an integrand using the generalized double copy, expand the integrand in large loop momentum, and reduce the resulting integrals using sl(L) integration-by-parts relations. This procedure yields a critical dimension of dc = 24/5. |
일반주제명 | Theoretical physics. Particle physics. Nuclear physics. Physics. |
언어 | 영어 |
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