UV and IR properties of quantum gravity from amplitudes
Abstract/Contents
- Abstract
- We state the motivation of our work on quantum gravity using modern amplitudes techniques, and give a brief review of basics of amplitudes, including the spinor-helicity formalism, unitarity cuts, and relations between graviton amplitudes and gluon amplitudes. After this introduction, we review our work investigating the ultraviolet behavior of the 2-loop 4-graviton amplitude using generalized unitarity cuts in dimensional regularization in $4-2\epsilon$ dimensions. We find a surprisingly simple dependence on the renormalization scale, which is the physical quantity we should focus on, for graviton amplitudes at 2-loop level. Since every simple result needs a simple derivation, we re-derive this simple renormalization scale dependence of the 2-loop graviton amplitude using the unitarity-cut method directly in 4-dimensional spacetime. This method relates the renormalization scale dependence to discontinuities of the amplitudes and elucidates the physics within. Last, we review our work on the infrared, or long-distance, properties of quantum gravity by studying the first quantum correction to the bending angles of massless projectiles with different spins, using 1-loop scattering amplitudes. Our calculation of the bending angle for gravitons, in particular, completes this line of research. The difference between the quantum corrections to the bending angles of different massless projectiles indicates a violation of the classical equivalence principle at the quantum level.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2019; ©2019 |
| Publication date | 2019; 2019 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Chi, Huan-Hang |
|---|---|
| Degree supervisor | Dixon, Lance Jenkins |
| Thesis advisor | Dixon, Lance Jenkins |
| Thesis advisor | Kallosh, Renata |
| Thesis advisor | Schuster, Philip Christian, 1981- |
| Degree committee member | Kallosh, Renata |
| Degree committee member | Schuster, Philip Christian, 1981- |
| Associated with | Stanford University, Department of Physics. |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Huan-Hang Chi. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2019. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2019 by Huan-Hang Chi
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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