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Ultraviolet Behavior of Supergravity Amplitudes

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서명/저자사항Ultraviolet Behavior of Supergravity Amplitudes.
개인저자Edison, Alexander Christian.
단체저자명University of California, Los Angeles. Physics 0666.
발행사항[S.l.]: University of California, Los Angeles., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항168 p.
기본자료 저록Dissertations Abstracts International 81-05B.
Dissertation Abstract International
ISBN9781088383865
학위논문주기Thesis (Ph.D.)--University of California, Los Angeles, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-05, Section: B.
Advisor: Bern, Zvi.
이용제한사항This item must not be sold to any third party vendors.This item must not be added to any third party search indexes.
요약In 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.
일반주제명Theoretical physics.
Particle physics.
Nuclear physics.
Physics.
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