EPSRC Reference: 
EP/P021204/1 
Title: 
New algebraic structures inspired by quantum field theory 
Principal Investigator: 
Rejzner, Dr K 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Mathematics 
Organisation: 
University of York 
Scheme: 
First Grant  Revised 2009 
Starts: 
01 September 2017 
Ends: 
31 August 2019 
Value (£): 
78,543

EPSRC Research Topic Classifications: 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 

Summary on Grant Application Form 
Quantum field theory (QFT) is the conceptual basis of particle physics and has provided a challenge and an inspiration for mathematicians for more than 6 decades and yet, despite constant efforts, its mathematical foundations are not completely understood. On the other hand, formal computations done in particle physics agree with experiment to an enormous accuracy. This leaves mathematicians with a great challenge and the current proposal is a part of a larger research program, meant to address it.
The aim of this project is to investigate certain algebraic structures that recently were postulated as a robust conceptual basis for QFT and to use the examples provided by QFT models to prove new results concerning these structures. Subsequently, these new mathematical tools will be used to understand the formal computations done in physics (with the use of perturbation theory). The long term goal is to get enough control on the algebraic structures in question to enable one to go beyond perturbation theory and obtain rigorous results.

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.york.ac.uk 