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Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
Published on: February 8, 2014
Gluon scattering on the self-dual dyon
Tim Adamo1, Giuseppe Bogna2, Lionel Mason2
1School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh, EH9 3FD UK.
We derived a compact formula for scattering amplitudes of gluons in a self-dual dyon background. This simplifies calculations in quantum field theory, showing un-deformed splitting functions and chiral algebras.
Area of Science:
- Quantum Field Theory
- High Energy Physics
- String Theory
Background:
- Calculating scattering amplitudes in complex background gauge fields is challenging.
- Chiral background fields offer a promising avenue for simplification.
- Previous methods struggled with explicit formulae for multi-particle processes.
Purpose of the Study:
- To obtain a compact expression for tree-level, maximal helicity violating (MHV) gluon scattering amplitudes.
- To analyze the impact of a self-dual dyon background on these amplitudes.
- To investigate the integrability and perturbative expansion in this background.
Main Methods:
- Utilizing twistor theory to exploit the integrability of the self-dual dyon background.
- Developing a formula for arbitrary numbers of gluons.
- Analyzing the resulting scattering amplitude expression.
Main Results:
- A compact formula for MHV gluon scattering amplitudes in a self-dual dyon background was derived.
- The formula involves a single position-space integral, simplifying calculations.
- Holomorphic collinear splitting functions were found to be un-deformed.
Conclusions:
- The self-dual dyon background simplifies perturbative expansions in the MHV sector.
- Un-deformed splitting functions imply un-deformed holomorphic celestial operator product expansions and chiral algebras.
- The derived formula offers a pathway to extending calculations to the full tree-level gluon S-matrix.
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