Lattice Gauge Theory

The group plays a major part in the UKQCD consortium, a national collaboration involving seven universities.

Quantum chromodynamics (QCD) is our description of the strong force we observe in nature, which binds elementary particles known as quarks and gluons into protons, neutrons, and similar particles which are collectively known as hadrons. The force in QCD is a quantum-mechanical generalisation of Maxwell's theory of electromagnetism. Maxwell's theory is simple in the sense that it is mathematically linear: this is due to the fact that the symmetry underlying Maxwell's theory is an abelian group. QCD is based on a non-abelian group; consequently, the theory is non-linear and much more difficult to solve. 

Non-abelian gauge theories have an important property known as asymptotic freedom. This means that at very high energies, quarks and gluons behave as though the force is very weak. The converse of asymptotic freedom at high scales, is non-linear slavery at low energies: the QCD force is very strong in this regime. Lattice gauge theory performs the Feynman path integral for quantum field theory numerically, and is the only model independent tool for making predictions about field theory in the non-linear low energy regime. This work has important consequences for other areas of physics: for example, certain hadronic properties are needed to both determine fundamental constants of nature, and search for new laws of physics with collider experiments.

Much of our QCD research is performed as part of the international (US/UK/Japan) RBC-UKQCD collaboration and the QCDSF (Germany/UK) collaboration.

High Performance Computing

Research in lattice QCD is extremely computationally demanding, so the field is closely connected to modern chip design. Our group works at the leading edge of this area.

In 2001 the UKQCD consortium was awarded £ 6.6 M for the design, construction and installation at Edinburgh of a multi-Teraflops scale computer, QCDOC. We developed the chip for this computer in collaboration with Columbia University and IBM T J Watson research center. The computer was run in Edinburgh from 2004 until 2009 with world leading scientific impact. 

Our Watson collaborators went on to develop the BlueGene supercomputer line. QCDOC's network has more recently influenced the design of a 10Pflop/s Fujitsu supercomputer. We have worked with our IBM collaborators and Columbia University to jointly develop the next generation BlueGene supercomputer design.

In 2009 the UKQCD consortium was awarded an HPC grant by STFC to replace QCDOC with several computers, the largest of which is a next generation BlueGene prototype and will be installed in Edinburgh.

Our joint impact on supercomputer development and the fundamental structure of nuclei continues.

PhD project opportunities in Lattice Gauge Theory

People in Lattice Gauge Theory

Telephone numbers in the list below are shown as UK numbers. Callers from outside the UK should remove the leading zero and use the UK country code (+44).

Name	Position	Contact details	Location	Photo
Academic staff
Peter Boyle	Professor	paboyle [at] ph.ed.ac.uk 0131 650 6573	JCMB 4410
Luigi Del Debbio	Professor	luigi.del.debbio [at] ed.ac.uk 0131 650 5212	JCMB 4418
Maxwell Hansen	UKRI Future Leaders Fellow	maxwell.hansen [at] ed.ac.uk	JCMB 4403
Roger Horsley	Reader	rhorsley [at] ph.ed.ac.uk 0131 650 6481	JCMB 4419
Tony Kennedy	Professor	adk [at] ph.ed.ac.uk 0131 650 5272	JCMB 4404
Richard Kenway	Tait Professor of Mathematical Physics	R.Kenway [at] ed.ac.uk	JCMB
Brian Pendleton	Senior Lecturer	brian.pendleton [at] ed.ac.uk	JCMB 4408
Antonin Portelli	Professor	antonin.portelli [at] ed.ac.uk 0131 650 5239	JCMB 4417
Research staff
Simon Bürger	Research Software Engineer	sburger [at] ed.ac.uk	JCMB 4415
Gurtej Kanwar	Chancellor's Fellow - AI and Datascience	gkanwar [at] ed.ac.uk	JCMB
Teseo San Jose Perez	Postdoctoral Research Associate	msanjos [at] ed.ac.uk	JCMB
Research postgraduates
Xinhao Yu	Postgraduate Student	s1871834 [at] sms.ed.ac.uk	JCMB