Past Quantum Field Theory Seminar

7 March 2017
12:00
to
13:15
Graeme Segal
Abstract

Quantization is the study of the interface between commutative and
noncommutative geometry. There are myriad approaches to it, mostly presented
as ad hoc recipes. I shall discuss the motivating ideas, and the relations
between some of the methods, especially the relation between 'deformation'
and 'geometric' quantization.

  • Quantum Field Theory Seminar
15 November 2016
12:00
to
13:15
Lionel Mason
Abstract

The talk will review the origins
of ambitwistor strings, and  recent progress in extending them to a
wider variety of theories and loop amplitudes.

  • Quantum Field Theory Seminar
25 October 2016
12:00
to
13:15
Robert Schabinger
Abstract

In this talk, we discuss an ongoing calculation of the
four-loop form factors in massless QCD. We begin by discussing our
novel approach to the calculation in detail. Of particular interest
are a new polynomial-time integration by parts reduction algorithm and
a new method to algebraically resolve the IR and UV singularities of
dimensionally-regulated bare perturbative scattering amplitudes.
Although not all integral topologies are linearly reducible for the
more non-trivial color structures, it is nevertheless feasible to
obtain accurate numerical results for the finite parts of the complete
four-loop form factors using publicly available sector decomposition
programs and bases of finite integrals. Finally, we present first
results for the four-loop gluon form factor Feynman diagrams which
contain three closed fermion loops.

  • Quantum Field Theory Seminar
18 October 2016
12:00
to
13:15
Mikhail Kompaniets
Abstract

The $\phi^4$ model in statistical physics describes the
continous phase transition in the liquid-vapour system, transition to
the superfluid phase in helium, etc. Experimentally measured values in
this model are critical exponents and universal amplitude ratios.
These values can also be calculated in the framework of the
renormalization group approach. It turns out that the obtained series
are divergent asymptotic series, but it is possible to perform Borel
resummation of such a series. To make this procedure more accurate we
need as much terms of the expansion as possible.
The results of the recent six loop analitical calculations of the
anomalous dimensions, beta function and critical exponents of the
$O(N)$ symmetric $\phi^4$ model will be presented. Different technical
aspects of these calculations (IBP method, R* operation and parametric
integration in Feynman representation) will be discussed. The

numerical estimations of critical exponents obtained with Borel
resummation procedure are compared with experimental values and
results of Monte-Carlo simulations.

  • Quantum Field Theory Seminar
11 October 2016
12:00
to
13:15
Ian Strachan
Abstract

The big phase space is an infinite dimensional manifold which is the arena
for topological quantum field theories and quantum cohomology (or
equivalently, dispersive integrable systems). tt*-geometry was introduced by
Cecotti and Vafa and is a way to introduce an Hermitian structure on what
would be naturally complex objects, and the theory has many links with
singularity theory, variation of Hodge structures, Higgs bundles, integrable
systems etc.. In this talk the two ideas will be combined to give a
tt*-geometry on the big phase space.

(joint work with Liana David)

  • Quantum Field Theory Seminar
24 May 2016
12:00
to
13:15
Keith Hannabuss
Abstract

This talk will start with a brief historical review of the classification of solids by their symmetries, and the more recent K-theoretic periodic table of Kitaev. It will then consider some mathematical questions this raises, in particular about the behaviour of electrons on the boundary of materials and in the bulk. Two rather different models will be described, which turn out to be related by T-duality. Relevant ideas from noncommutative geometry will be explained where needed.

  • Quantum Field Theory Seminar

Pages