ICMP 2003

Quantum field theory

Session organized by D. Buchholz (Goettingen), J.-B. Zuber (Saclay).


D. BernardSaclay
J. DimockBuffalo
C. J. FewsterYork, UK
R. LongoRome
J. TeschnerBerlin
T. ThiemannWaterloo
Denis Bernard
SPhT Saclay

Conformal field theories of stochastic Loewner evolutions

Stochastic Loewner evolutions describe growth processes of fractal domains embedded in the complex plane. Conformal field theories apply to two dimensional critical systems. The aim of this seminar will be to depict an algebraic link between these subjects and to explain the main building blocks of this relation. It reveals new aspects of conformal field theories.

Jonathan Dimock
Department of Mathematics
University at Buffalo

Local string field theory

We consider open bosonic strings. The non-interacting multi-string theory is described by certain free string field operators which we construct. These are shown to have local commutators with respect to a center of mass coordinate. The construction is carried out both in the light cone gauge and in a covariant formulation.

Christopher J. Fewster
Department of Mathematics
University of York

Energy inequalities in quantum field theory

Quantum fields are well-known to violate all the pointwise energy conditions of classical general relativity. This talk will review the subject of quantum energy inequalities, which are constraints satisfied by weighted averages of the stress-energy tensor and which may be regarded as the vestiges of the classical energy conditions after quantisation.

As well as describing the inequalities currently known, various applications will be described, ranging from thermodynamics to the Casimir effect. Contact will also be made with quantum mechanics, where such inequalities find analogues in sharp Gaarding bounds on Weyl-quantised observables.

R. Longo

A dichotomy in conformal field theory

Jörg Teschner
Freie Universität Berlin

Geometric aspects of the Liouville quantum field theory

A conjecture of H. Verlinde predicts a direct relation between the Hilbert spaces obtained by quantizing the Teichmueller spaces of Riemann surfaces on the one hand, and the spaces of conformal blocks for quantum Liouville theory on the other hand. After an outline of the definition of the objects involved in this conjecture, and some key steps of its proof, we plan to discuss the implications for the geometric interpretation of quantum Liouville theory in its relation to quantized spaces of Riemann surfaces.

Thomas Thiemann
Perimeter Institute for Theoretical Physics
and Waterloo University
Ontario N2J 2G9

Loop quantum gravity

Loop quantum gravity is an attempt to define a non-perturbative, background independent quantum field theory of Lorentzian General Relativity and all known matter in four spacetime dimensions. We outline the mathematical definition of the theory and describe some of its physical implications, predicting, among other things, a discrete Planck scale structure.


B. Bambah, C. Mukku
Hyderabad, India and CAS, Panjab U., India

Charged vs. neutral particle creation in expanding universes: a quantum field theoretic treatment

J.M. Baptista
Cambridge, UK

Some special Kahler metrics on SL(2,C) and their holomorphic quantization

H. Grosse, R. Wulkenhaar
ITP, Vienna, Austria and MPI, Leipzig, Germany

Renormalization group approach to noncommutative scalar models

N. Harshman
American U., Washington DC, USA

Poincaré semigroup as emergent property of unstable particles

M. Henkel
LPM, UHP Nancy I, France and CFTC, U. Lisbon

Local scale invariance and applications to nonequilibrium criticality

W.P. Joyce
Canterbury, New Zeland

All Zn graded Bose-Fermi recouplings for n>2 lead to state confinement

W. Junker, F. Lledo
MPI, Albert-Einstein Inst., Muhlenberg, Germany and RWTH Aachen, Inst. Math., Aachen, Germany

Quantum field theory of the electromagnetic vector potential on curved spacetimes

E.H. El Kinani
Fac. Sciences et Tech., Univ. Moulay Ismail Errachidia, Morocco

Multiconformal field theory and its W-extension

F. Kleefeld
CFIF, IST, Lisbon

On the (anti)casual analytical continuation of Hermitean quantum (field) theories

B. Kuckert
ITP Hamburg, Germany

Covariant thermodynamics of quantum systems: passivity, semipassivity and the Unruh effect

A.G. Martins, A.M. Marques, A.R. Queiroz, P. Teotônio-Sobrinho
USP, Brasil

Topological field theories of vortices and geons

A. Mikovic
U. Lusófona, Lisbon

Quantum field theory of spin networks and quantization of gravity and matter

C. D'Antoni, G. Morsella, R. Verch
U. Rome "Tor Vergata", Italy; U. Rome "La Sapienza", Italy and MPI-MIS, Leipzig, Germany

Scaling algebras for charge carrying quantum fields and superselection structure at short distances

D.H.T. Franco, C.M.M. Polito
CEFT, Belo Horizonte, Brasil and CBPF, Brasil

Supersymmetric field theoretic models

O. Richter
ITP, U. Leipzig, Germany

Spectral actions for leaf spaces of foliations

N.M. Romão
MPI, Leipzig, Germany

Dynamics of CP1 lumps on a cylinder

J. Kijowski, G. Rudolph
CTP, Polish Acad. Sc., Warsaw, Poland and ITP, Univ. Leipzig, Germany

Observable algebras and charge superselection structures of gauge theories on the lattice

N. Szpak
ITP, J.W. Goethe Univ., Germany

On the problem of "spontaneous pair creation" in strong electric fields

P.A. Faria da Veiga
ICMP, Univ. São Paulo, Brasil

Existence of baryons, baryon spectrum and mass splitting in lattice QCD

A.S. Vytheeswaran
Madras, Guindy Campus, India

Constrained analysis of non-commutative systems