Twistor Inspired Methods in Perturbative Field Theory and Fuzzy Funnels
Aug, 2006168 pages
Supervisor:
Thesis: PhD - Queen Mary, U. of London
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Abstract:
The first part of this thesis contains two new techniques for the calculation of scattering
amplitudes in quantum field theories. These methods were inspired by the recent proposal
of a correspondence between the weakly coupled regime of the maximally supersymmetric
four dimensional gauge theory and a string theory in twistor space.
We show how generalised unitarity cuts in D = 4 − 2² dimensions can be used to calculate
efficiently complete one-loop scattering amplitudes in non-supersymmetric Yang-Mills
theory. This approach naturally generates the rational terms in the amplitudes, as well as
the cut-constructible parts. We then show that the ideas of the Britto, Cachazo, Feng and
Witten tree-level on-shell recursion relation can also be applied to the calculation of finite
one-loop amplitudes in pure Einstein gravity.
The second part of this thesis is a study of the nonabelian phenomena associated with
D-branes. Specifically we study the nonabelian bionic brane intersection in which a stack
of many coincident D1-branes expand via a non-commutative spherical configuration into
a collection of higher dimensional D-branes orthogonal to the original stack of D1-branes.
We suggest a construction of monopoles in dimension 2k+1 from fuzzy funnels. We then
perform two charge calculations related to this construction. This leads to a new formula
for the symmetrised trace quantity. This new formula for the symmetrised trace is then
used to study the collapse of a spherical bound state of D0-branes.- D-brane: bound state
- scattering amplitude
- twistor
- fuzzy
- gauge field theory
- gravitation
- monopole
- higher-order: 1
- thesis
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