Isaac Newton Institute for Mathematical Sciences

Non-Perturbative Aspects of Quantum Field Theory

1 January - 19 June 1997

Organisers: D Olive (Swansea), P Van Baal (Leiden), P West (King's College, London)

NATO Advanced Study Institute


23 June - 4 July, 1997, Newton Institute, Cambridge, UK

Organising Committe:
Ian Drummond (Cambridge), Mikhail Shifman (Minneapolis), Peter West (London)
Director: Pierre van Baal (Leiden)


To provide an advanced school that covers the most important techniques to study QCD and confinement, ranging from electromagnetic duality, through Wilson's renormalisation group to lattice gauge theory.

Outline of the scientific programme:

This ASI will be the culmination of the final phase of the six month programme on Non-perturbative Aspects of Quantum Field Theory taking place at the Newton Institute (Cambridge, UK) which started in January 1997, organised by David Olive, Pierre van Baal and Peter West.

The mathematical framework for elementary particle theories consists of a quantum field theory described by a nonlinear generalisation of Maxwell's equations. The least understood part concerns the strong force responsible for the structure of sub-nuclear particles and is called Quantum Chromo Dynamics (QCD). The aim of the ASI is to assemble world experts in this field who can evaluate the impact of the latest developments, particularly those centred around electromagnetic duality, the main theme of the preceding programme. This concept involves the interchange of electric and magnetic fields. Its usefulness stems from the fact that it also interchanges weak coupling with strong coupling. Weak coupling means that reliable results can be obtained from the first few terms in a series expansion, whereas at strong coupling such a truncation does not make sense.

Recent developments have revealed the role of supersymmetry in making electromagnetic duality precise in a large class of theories. Roughly this is because supersymmetry facilitates cancellations between fermionic and bosonic fluctuations. The ASI will review the new knowledge and its relation to approaches in which supersymmetry is absent, in a way aimed at workers in QCD, at the level of an advanced graduate student or junior researcher. It will address the long standing question of understanding how quarks are confined within subnuclear particles. The intention will be to stimulate further activity and progress.

To be more specific, a good understanding of the running of the coupling constant, of the Wilson renormalisation group and of the particle spectroscopy will feature in a number of lectures, setting out the framework in which non-perturbative issues in QCD should be discussed. The renormalisation group will be discussed in the context of the lattice, momentum-cutoff and light-front approaches and will give the students working knowledge of the notion of effective actions and their flow under the renormalisation group. Introductory lectures on supersymmetry will prepare for the new ideas on electromagnetic duality. In the presence of supersymmetry, both instantons and monopoles will contribute in very special ways, revealing deep results relevant for the dynamics of the theory. This will be contrasted against what is known from the non-supersymmetric studies.

An important theme that will be developed in this context is the conjecture that monopoles condensate, such that QCD forms a dual superconductor. It will be discussed through the lectures how so-called abelian projection introduced ten years ago by 't Hooft might provide an explicit scenario to test this dual superconductor picture. The recent Seiberg-Witten duality results add a new dimension to this conjecture, whose consequence for QCD will be discussed as much as possible. Another line of attack, that might in interesting ways be related to the dual superconductor pictures, has been the attempts to rewrite QCD as a string theory. Also here supersymmetry recently has been shown to be a useful technical tool.

We are planning to roughly allocate equal time to four main themes, developed in parallel as illustrated in the enclosed tentative schedule, namely (i) duality in the light of its possible application to QCD, (ii) general non-perturbative techniques aimed at understanding confinement, (iii) the role of instantons and monopoles played in confinement, including tests of the dual superconductor picture and finally (iv) lattice Monte Carlo results aimed at first principle calculation of the consequences of QCD, like the glueball and hadron spectrum and the influence of the strong force on CP violation and electro-weak processes.

This ASI is unique in bringing so many different approaches together, each expected to carry part of the solution towards the confinement problem. Any student that wishes to make progress on the confinement problem should be aware of these approaches and the ASI will in particular stimulate exploring the ideas of electromagnetic duality to further our understanding of confinement in QCD.

This school aims at advanced graduate students and junior postdoctoral fellows and researchers.

Programme, Timetable and Organisation:

Day of arrival Sunday June 22nd.

Check-in at Selwyn College with the Porter. Dinner is served at 19:30 for those who have signed up using the housing form. It takes 10-15 minutes to walk from the college to the Mill Lane lecture rooms. Follow Sidgwick Avenue, continue straight along Silver Street at the traffic lights. Across the bridge, with Queens College on the left, turn right into narrow Laundress Lane. This takes you to Mill Lane, turn left and continue for a couple of meters. The lecture rooms are on the right.


Place: Mill Lane lecture room 9
a.m. lectures: 9:30-10:30 and 11:00-12:00
p.m. lectures: 2:00- 3:00 and 3:30- 4:30

Seminars by visitors at the Newton Institute programme: 5:00-6:00 p.m. June 25-26 & July 1
Discussions with the lecturers: 5:00-6:30 p.m. June 27 & July 3
Poster sessions by participants: 5:00-7:00 p.m. June 24 & 30

Lunches can be taken any time between 12:15 and 14:00 at the adjacent University Center in the main dining hall. Vouchers will be provided upon registration.
Coffee and tea is provided during breaks between lectures (10:30-11:00, 15:00-15:30 and when appropriate 16:30-17:00).
Dinners are served 19:30 at Selwyn college (except for the banquet on Wednesday 2/7).


1st Day - Monday, June 23rd

5-7 p.m.

*** Reception at the Newton Institute ***

2nd Day - Tuesday, June 24th

  • Peter Weisz (Munich) - Finite size scaling and strong coupling constant (I)
  • Chris Michael (Liverpool) - The glueball spectrum and string tension
  • p.m.
  • Peter Hasenfratz (Bern) - The perfect classical lattice action
  • Peter West (King's, London) - Introduction to supersymmetric gauge theories and duality
  • Posters

3rd Day - Wednesday, June 25th

  • Peter Weisz (Munich) - Finite size scaling and strong coupling constant (II)
  • Mike Teper (Oxford) - Glueballs and topology in SU(N) gauge theories
  • p.m.
  • Peter Hasenfratz (Bern) - The perfect classical lattice action
  • Peter West (King's, London) - Introduction to supersymmetric gauge theories and duality
  • Peter Landshoff (DAMTP, Cambridge) - The Pomeron

4th Day - Thursday, June 26th

5th Day - Friday, June 27th

6th Day - Saturday, June 28th

7th Day - Sunday, June 29th - NO LECTURES (*** Excursion ***)

The bus will leave 9:30 from Selwyn College for Woolsthorpe Manor, the birthplace of Sir Isaac Newton. The afternoon will be spend in Lincoln, where (in whatever order desired) you can have lunch, admire Lincoln Castle and Lincoln Cathedral, considered to be one of Europe's finest medieval buildings. The costs of 10 pounds will include transportation, admission to Woolsthorpe Manor and morning coffee (inspiring thoughts concerning falling apples not guaranteed).

8th Day - Monday, June 30th

9th Day - Tuesday, July 1st

6-7 p.m.

*** Cambridge University Press Reception ***

10th Day - Wednesday, July 2nd

7 p.m.

*** Conference dinner at Corpus Christi College ***

11th Day - Thursday, July 3rd

12th Day - Friday, July 4th

END OF ASI Friday July 4th, 5:00 pm.


The summer school will take place in the Mill Lane lecture rooms and accommodation for participants will be provided at nearby Selwyn College. Breakfast and evening meals are included for those that stay at Selwyn College. Lunch and refreshments during the days that lectures take place are provided for all registered participants (reception and conference dinner are included). The fee is 650 - please follow the instructions for payment provided in the e-mail sent around April 12, which also specifies the deadline of payment and the precise amount in case of partial subsidy. Information how to reach the Newton Institute can be found here, whereas Selwyn College is located on the corner of Grange Road and Sidgwick Avenue (continues as Silver Street towards the city centre, to which Mill Lane is parallel).

Attendance of lectures by local students and researchers is encouraged. For those that wish to take part in the lunches and use the refreshments, a nominal fee of 120 is charged. In the latter case registration before 31 May is required.

For information on scientific matters contact Pierre van Baal,
For information on all other matters contact Heather Dawson.

List of Participants:

Aarts, Gert -Utrecht, The Netherlands
Albert, Tom -Bonn, Germany
Avakyan, Avetis -Yerevan, Armenia
Bajnok, Zoltan -Budapest, Hungary
Baldicchi, Massimiliano -Milano, Italy
Beane, Silas -Maryland, US
Begliuomini, Roberto -Trento, Italy
Blotz, Andree -Los Alamos, US
Brisudova, Martina -Los Alamos, US
Bronoff, Stephane -Marseille, France
Chibisov, Boris -Minneapolis, US
Cucchieri, Attilio -Bielefeld, Germany
Deandrea, Aldo -Marseille, France
Del Debbio, Luigi -Marseille, France
Di Pierro, Massimo -Southampton, UK
Ferrari, Frank -LPTENS, Paris, France
Fosco, Cesar -Bariloche, Argentina
Foster, Martyn -Liverpool, UK
Ghosh, Amit -Calcutta, India
Griesshamer, Harald -Erlangen, Germany
Gubankova, Elena -Heidelberg, Germany
Halasz, Miklos Adam -Stony Brook, US
Hams, Anthony -Groningen, The Netherlands
Hart, Alistair -Louisiana, US
Horgan, Ronald -Cambridge, UK
Iancu, Edmund -Saclay, France
Jaramillo, Alfonso -Valencia, Spain
Jungnickel, Dirk -Heidelberg, Germany
Kato, Seikou -Kanazawa, Japan
Keurentjes, Arjan -Leiden, The Netherlands
Klepfish, Elyakum -King's London, UK
Kovacs, Stefano -Tor Vergata, Rome, Italy
Leibundgut, Markus -Bern, Switzerland
Libanov, Maxim -INR, Moscow, Russia
Lin, David -Edinburgh, UK
Litim, Daniel -Imperial, UK
Lozano, Carlos -Santiago de Compostela, Spain
Lukkarinen, Jani -Helsinki, Finland
Manke, Thomas -Cambridge, UK
Markopoulou, Fotini -Imperial, UK
Mathur, Manu -Pisa, Italy
Maynard, Christopher -Edinburgh, UK
Minwalla, Shiraz -Princeton, US
Mkhitaryan, Vapharsh -Yerevan, Armenia
Motyka, Leszek -Krakow, Poland
Mueller, Guido -Bonn, Germany
Mukherjee, Avijit -Brandeis, US
Nishigaki, Shinsuke -NBI, Copenhagen, Denmark
Pause, Thomas -Regensburg, Germany
Peardon, Mike -Kentucky, US
Pennanen, Petrus -Helsinki, Finland
Ritz, Adam -Imperial, UK
Rodrigues, Joao -Lisbon, Portugal
Ryan, Sinead -Fermilab, US
Schiappa, Ricardo -MIT, Boston, US
Scholtz, Frederik -Stellenbosch, South Africa
Schwetz, Myckola -Yale, US
Selivanov, Konstantin -ITEP, Moscow, Russia
Sener, Melih -Stony Brook, US
Shabanov, Sergei -FU Berlin, Germany
Skala, Peter -Vienna, Austria
Slater, Matthew -Durham, UK
Sochichiu, Corneliu -JINR, Dubna, Russia
Stephanov, Mikhail -Urbana-Champaign, US
Takenaga, Kazunori -Kobe, Japan
Troitsky, Sergey -INR, Moscow, Russia
Vachaspati, Tanmay -Case Western, US
Vian, Federica -Parma, Italy
Waindzoch, Thomas -Darmstadt, Germany
Weber, Axel -Mexico, Mexico
Wegrzyn, Pawel -Krakow, Poland
Zabzine, Maxim -St.Petersburg, Russia
Zach, Martin -Vienna, Austria

A note on presentations by participants:

A total of 16(8) participants to the school have expressed interest in giving a short 10 minutes presentation (poster) on their work. We are pleased, but overwhelmed, by so much interest in this. As the NATO ASI is primarily intended as a school, we should not reserve too much time for talks by participants, in particular as the schedule with planned lectures is already relatively full. Therefore we propose that those who have indicated to want to give a talk, present a poster instead. Any way we feel this will do more justice to the work presented than a talk of 10 minutes.

We allocate one of the sessions from 5-6 pm (which may run till 7 pm) in each of the two weeks for poster presentations. We ask the authors to be available for answering questions during the appropriate session. Posters can be displayed for the whole week to stimulate further discussions on the basis of the work presented. In alphabetical order half the posters can be displayed during the first week (from Tuesday morning till Saturday) and the remaining half during the second week (from Monday morning till Friday morning).

Each poster is assigned 3 x 4 feet (0.9 x 1.2 meters). No pages can be allocated in the proceedings for the posters. Three people have withdrawn their poster during the school.

List of poster presentations

24 June - 28 June

  • Attilio Cucchieri - Infrared behavior and Gribov noise for gluon and ghost propagators in minimal Landau gauge
  • Cesar Fosco - On bosonization in higher dimensions
  • Amit Ghosh - Understanding the area proposal for extremal black hole entropy
  • Elena Gubankova - Modified similarity renormalization
  • Adam Halasz - Higher order level statistics in lattice QCD spectra
  • Alistair Hart - Ehrenfest theorems for field strength and electric current in Abelian projected SU(2) gauge theory
  • Ronald Horgan - The nature of the continuum limit in 2D-RP(n) models
  • Seikou Kato - Various representations of infrared effective lattice QCD
  • Jani Lukkarinen - Lattice simulations of the microcanonical ensemble
  • Manu Mathur - Magnetic monopoles, gauge invariant dynamical variables and the Georgi-Glashow model
  • Federica Vian - How to compute the chiral anomaly without breaking global chiral symmetry

30 June - 4 July

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