EPSRC Reference: 
EP/T016396/1 
Title: 
Modern reformulation of Quantum Field Theory 
Principal Investigator: 
Gürdogan, Dr Ö 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Sch of Physics and Astronomy 
Organisation: 
University of Southampton 
Scheme: 
EPSRC Fellowship 
Starts: 
01 January 2021 
Ends: 
30 April 2023 
Value (£): 
417,560

EPSRC Research Topic Classifications: 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 
Panel Date  Panel Name  Outcome 
03 Dec 2019

Stephen Hawking Fellowship

Announced

21 Jan 2020

Stephen Hawking Fellowship Interview Panel 1

Announced


Summary on Grant Application Form 
The objective of the proposed research is to establish a new framework to satisfactorily explain the emergent properties of Quantum Field Theory and to use this insight for broadening the applicability of the most powerful techniques for the calculation of scattering amplitudes.
A formulation of the laws of physics cannot be satisfactory if its fundamental principles obscure the most important features of its predictions. Scattering amplitudes in Quantum Field Theory are the central objects that relate the theoretical description of elementary particles in nature to observations made in particle colliders. It emerges only after formidable calculations that scattering amplitudes have striking mathematical structures, apriori knowledge of which would not only simplify these calculations but also lead to a much deeper understanding of the building blocks of the universe.
The expectation of the existence of a refined description of Quantum Field Theory originates from studies of scattering amplitudes in toy models such as the maximallysupersymmetric YangMills (MYSM) theory, and more recently the "fishnet model". Advances in this field have put scattering amplitudes at the centre of a revolution in the formulation of Quantum Field theory sustained by mathematical insight from number theory, algebraic geometry and combinatorics.
In particular I will use the guidance of tropical geometry to apply cluster bootstrap techniques for the first time to amplitudes with multiplicities beyond seven particles in MSYM, and also to describe the analytic structure of amplitudes of phenomenological importance in a geometric way.
Moreover I will reconcile the integrability of the fishnet model with numbertheoretic expectations about Feynman diagrams to prove powerful conjectures for fishnettype graphs and to obtain rare exact results in Quantum Field Theory.

Key Findings 
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Potential use in nonacademic contexts 
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Impacts 
Description 
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Summary 

Date Materialised 


Sectors submitted by the Researcher 
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Project URL: 

Further Information: 

Organisation Website: 
http://www.soton.ac.uk 