On the Infrared and Ultraviolet Behavior of Scattering Amplitudes and Wavefunctions- [electronic resource]
On the Infrared and Ultraviolet Behavior of Scattering Amplitudes and Wavefunctions- [electronic resource]
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214101647
- ISBN
- 9798380416238
- DDC
- 530.1
- 서명/저자
- On the Infrared and Ultraviolet Behavior of Scattering Amplitudes and Wavefunctions - [electronic resource]
- 발행사항
- [S.l.]: : Princeton University., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(177 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-03, Section: B.
- 주기사항
- Advisor: Arkani-Hamed, Nima.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약We extend the on-shell program on three fronts: finite Λ, finite ϵ, and finite α' where these are the cosmological constant, the dimensional regularization parameter ϵ = 4−D/2 , and a scale for putative ultraviolet completions of tree-level amplitudes with graviton exchange (string scale) respectively. In the first case we study conformally coupled scalars in the associated de Sitter background, whose wavefunction contributions are transcendental functions of uniform weight and are closely related to the density perturbations of direct interest for studying inflation. We derive a recursive rule for the symbol of such functions and study the implications for singularities, differential equations, and identify the symbol letters with graph associahedra. Most of this work appeared in [1]. In the second case we study the structure of UV and IR divergences for scalar Feynman integrals in the context of Feynman polytopes and tropical fans, providing a unified description for both and a prescription to compute the leading divergence. In the IR case we apply this to the study of infinite classes of diagrams appearing in the expansion of the four-point amplitude in N = 4 SYM. This is based on work with Nima Arkani-Hamed and Sebastian Mizera. In the case of UV divergences we introduce u-variables which realize an associated binary geometry and facilitate a novel subtraction scheme in dimensional regularization to compute the full Laurent expansion of the associated Feynman integral. On the third front, we consider unitarity constraints on a class of tree-level UV completions of amplitudes with graviton exchange. In particular we study completions of Higgs scattering and gauge boson scattering in the Standard Model and gauge boson scattering in diverse dimensions. We find surprising constraints connecting with intuitions from the swampland. This is based on work with Brad Bachu.
- 일반주제명
- Theoretical physics.
- 일반주제명
- Physics.
- 일반주제명
- Quantum physics.
- 키워드
- Infrared
- 키워드
- Renormalization
- 기타저자
- Princeton University Physics
- 기본자료저록
- Dissertations Abstracts International. 85-03B.
- 기본자료저록
- Dissertation Abstract International
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