ICMP 2003 > Sessions > Quantum field theory | |
Session organized by D. Buchholz (Goettingen), J.-B. Zuber (Saclay).
D. Bernard | Saclay |
J. Dimock | Buffalo |
C. J. Fewster | York, UK |
R. Longo | Rome |
J. Teschner | Berlin |
T. Thiemann | Waterloo |
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.
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.
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.
A dichotomy in conformal field theory
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.
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.
Charged vs. neutral particle creation in expanding universes: a quantum field theoretic treatment
Some special Kahler metrics on SL(2,C) and their holomorphic quantization
Renormalization group approach to noncommutative scalar models
Poincaré semigroup as emergent property of unstable particles
Local scale invariance and applications to nonequilibrium criticality
All Z_{n} graded Bose-Fermi recouplings for n>2 lead to state confinement
Quantum field theory of the electromagnetic vector potential on curved spacetimes
Multiconformal field theory and its W-extension
On the (anti)casual analytical continuation of Hermitean quantum (field) theories
Covariant thermodynamics of quantum systems: passivity, semipassivity and the Unruh effect
Topological field theories of vortices and geons
Quantum field theory of spin networks and quantization of gravity and matter
Scaling algebras for charge carrying quantum fields and superselection structure at short distances
Supersymmetric field theoretic models
Spectral actions for leaf spaces of foliations
Dynamics of CP^{1} lumps on a cylinder
Observable algebras and charge superselection structures of gauge theories on the lattice
On the problem of "spontaneous pair creation" in strong electric fields
Existence of baryons, baryon spectrum and mass splitting in lattice QCD
Constrained analysis of non-commutative systems