School of Mathematics
http://hdl.handle.net/2262/1
School of MathematicsSat, 21 Jan 2017 06:18:21 GMT2017-01-21T06:18:21ZStatic-light-light baryons : a spectroscopic study using distillation
http://hdl.handle.net/2262/79113
Static-light-light baryons : a spectroscopic study using distillation
Mc Elroy, Finnian
Over the last decade, hadron spectroscopy in lattice QCD has graduated from calculating single rows of the quark propagation matrix to calculating all elements of the quark propagation matrix - the so-called all-to-all propagator. On a spatially symmetric anisotropic lattice of spatial extent and temporal extent Nx the quark propagation matrix has rank 4 x 3 x N3x x Nt, where 4 represents the number of components in a Dirac field and 3 represents the number of colours. Calculating all elements of this matrix requires 144 x N6x x N2t matrix inversions - a formidable task. The relatively new method of distillation enables access to all elements of the quark propagation matrix at a much more affordable cost.
Tue, 01 Jan 2013 00:00:00 GMThttp://hdl.handle.net/2262/791132013-01-01T00:00:00ZCFTs on Riemann surfaces of genus g ≥ 1
http://hdl.handle.net/2262/79094
CFTs on Riemann surfaces of genus g ≥ 1
Leitner, Marianne
The purpose of this thesis is to argue that N-point functions of holomorphic fields in rational conformal field theories can be calculated by methods from algebraic geometry. We establish explicit formulae for the 2-point function of the Virasoro field on hyperelliptic Riemann surfaces of genus g≥ 1. N-point functions for higher N are obtained inductively, and we show that they have a nice graphical representation. We discuss the Virasoro 3-point function with application to the Virasoro (2,5) minimal model.
Wed, 01 Jan 2014 00:00:00 GMThttp://hdl.handle.net/2262/790942014-01-01T00:00:00ZThe radiation bound for a Klein-Gordon field on a static spherical spacetime
http://hdl.handle.net/2262/78847
The radiation bound for a Klein-Gordon field on a static spherical spacetime
Collins, Michael Patrick
We establish a well-posed Cauchy problem in Minkowski (R4, η), associated with a radiating Klein-Gordon field ψ(x) = eztψ(xi), in curvature coordinates {xμ = t, p, θ,Φ} on a static spherically symmetric spacetime (M, g). This is crucial to our primary concern with proving an optimal L2-bound on the radiating field ψ, decaying at asymptotic spatial infinity, and manifests as the content of our main Theorem 1: A proof of the Sommerfeld Finiteness Condition for K-G radiation on (M,g).
Tue, 01 Jan 2013 00:00:00 GMThttp://hdl.handle.net/2262/788472013-01-01T00:00:00ZCR Singularities in condimension 2
http://hdl.handle.net/2262/78831
CR Singularities in condimension 2
Burcea, Valentin Daniel
In this thesis we study the real submanifolds of codimension 2 in a complex manifold near a CR singularity. The thesis has 3 chapters. In Chapter 1 we shall make a small introduction where we will remind some basic notions and known results. The first chapter has 3 parts. In the first part we recall some basic notions. The second part represents an preparation for the second chapter. The third part represent a preparation for the third chapter. The main result of the thesis represent the content of Chaper 2. We generalize to a higher dimensional case Huang-Yin’s normal form in C2. The main tool is given by the Fisher decomposition and our construction is done following the lines of Huang-Yin’s normal form construction.
The last Chapter contains some remarks about a family of analytic discs attached to a real submanifold and some applications.
Tue, 01 Jan 2013 00:00:00 GMThttp://hdl.handle.net/2262/788312013-01-01T00:00:00Z