New Frontiers in Landau Analysis

24 Apr 2024, 09:00 → 26 Apr 2024, 17:00 Europe/London

Room 4305 (Higgs Centre Seminar Room)

The last few years have seen a renewed interest in the analytic structure of scattering amplitudes. One of the consequences has been a revival of old methods from the S-matrix program of the sixties, which can now be coupled with our deeper understanding of the types of functions that appear in scattering amplitudes as well as powerful numerical methods to constrain the space of allowed S-matrices. This workshop aims to bring together researchers working at the intersection of these topics, and in particular on understanding the analytic structure of scattering amplitudes from first principles through Landau analysis—namely, through the study of where amplitudes become singular, and how they behave near these singularities. Topics to be covered include:

• algorithms for solving the Landau equations, and understanding the behavior of scattering amplitudes near these solutions
• strategies for deriving new constraints on the discontinuity structure of amplitudes
• strategies for using the analytic structure to constrain scattering amplitudes non-perturbatively
• connections between Landau analysis and positive geometries
• the use of Landau analysis to study the classes of special functions that appear in Feynman integrals
• Landau analysis for AdS correlators and the wave function of the universe

Confirmed speakers include:

• Ruth Britto
• Francis Brown
• Lucía Córdova
• James Drummond
• Maxwell Hansen
• Stephen Jones
• Shota Komatsu
• Yao Ma
• Enrico Pajer
• Erik Panzer
• Simon Telen
• Cristian Vergu

Information about B&Bs and guesthouses close to the Kings Building Campus and the James Clerk Maxwell Building can be found here. Please inquire about academic rates. Further information on the venue can be found here.

There will be a £75 workshop fee to cover lunch, coffee, a reception on Wednesday evening, and the workshop dinner on Thursday evening. To register, click through to the registration tab on the left.

Organizers: Andrew McLeod, Einan Gardi, Luke Lippstreu, Hofie Hannesdottir

 

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Wednesday, 24 April

1 Cuts and Symbols

Speaker: Ruth Britto

10:00 Coffee

2 Hidden Regions and Contour Deformation

Speaker: Stephen Jones

sjones_landau24_v2.pdf

12:00 Lunch

3 Identifying regions for asymptotic expansions in QCD

Speaker: Yao Ma

Landau.pdf

14:30 Coffee

4 A singular approach to Feynman integrals

Speaker: Cristian Vergu

edinburgh2024.pdf

17:30 Reception

Thursday, 25 April

5 Euler discriminants in physics and statistics

Speaker: Simon Telen

higgs.pdf

10:00 Coffee

6 Singularities of integrals and their hierarchy

Speaker: Erik Panzer

12:00 Lunch

7 Analytic properties of improper Feynman integrals

Speaker: Francis Brown

14:00 Coffee

8 Correlators of multiple light-like Wilson loops in N=4 super Yang-Mills theory

Speaker: James Drummond

15:30 Coffee

9 What can amplitudes teach us about cosmological correlators, the wavefunction and scattering in de Sitter?

Speaker: Enrico Pajer

Landau_analysis_Edinburgh_April2024.pdf

19:00 Workshop Dinner

Friday, 26 April

10 Extracting amplitudes in lattice field theory and the role of Landau singularities

Speaker: Maxwell Hansen

Landau_Hansen.pdf

10:00 Coffee

11 Non-invertible symmetries, anomalies and scattering amplitudes

Speaker: Lucía Córdova

12:00 Lunch

12 Ruth Gregory Colloquium - Towards a Quantum Black Hole Simulator

A black hole is characterised by the fact that nothing can escape - this feature, of a boundary of information that can be accessed from that which cannot, is more general than the spacetime boundary of the event horizon. Horizons can occur in a wide range of physical situations, many of which we can construct in the lab, leading to the field of Analog Gravity.
Most gravity simulators observe features, like super-radiance, that are analysed as a continuum effect in gravity, whereas many interesting "beyond GR" features theorise about the impact of quantised aspects of the black hole.
In this talk, I will discuss recent experimental work on a liquid helium giant vortex that naturally has quantisation, and how we hope to build a quantised analog black hole that can start to explore "black hole" phenomena in a much broader context.

14:00 Coffee

13 Landau Diagrams in AdS and Flat-Space Limit

Speaker: Shota Komatsu