Color Decomposition for Scattering Amplitudes
Analysis
This paper presents a method for systematically decomposing the color dependence of scattering amplitudes in gauge theories. This is crucial for simplifying calculations and understanding the underlying structure of these amplitudes, potentially leading to more efficient computations and deeper insights into the theory. The ability to work with arbitrary representations and all orders of perturbation theory makes this a potentially powerful tool.
Key Takeaways
- •Provides a method for decomposing the color dependence of scattering amplitudes.
- •Works for arbitrary representations of gauge theories.
- •Applicable to all orders of perturbation theory.
- •Offers a new basis for expressing amplitudes, potentially simplifying calculations.
Reference
“The paper describes how to construct a spanning set of linearly-independent, automatically orthogonal colour tensors for scattering amplitudes involving coloured particles transforming under arbitrary representations of any gauge theory.”