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020 ▼a 9781088383865
035 ▼a (MiAaPQ)AAI22616105
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 530
1001 ▼a Edison, Alexander Christian.
24510 ▼a Ultraviolet Behavior of Supergravity Amplitudes.
260 ▼a [S.l.]: ▼b University of California, Los Angeles., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 168 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-05, Section: B.
500 ▼a Advisor: Bern, Zvi.
5021 ▼a Thesis (Ph.D.)--University of California, Los Angeles, 2019.
506 ▼a This item must not be sold to any third party vendors.
506 ▼a This item must not be added to any third party search indexes.
520 ▼a 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.
590 ▼a School code: 0031.
650 4 ▼a Theoretical physics.
650 4 ▼a Particle physics.
650 4 ▼a Nuclear physics.
650 4 ▼a Physics.
690 ▼a 0753
690 ▼a 0798
690 ▼a 0756
690 ▼a 0605
71020 ▼a University of California, Los Angeles. ▼b Physics 0666.
7730 ▼t Dissertations Abstracts International ▼g 81-05B.
773 ▼t Dissertation Abstract International
790 ▼a 0031
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15493359 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK