Basics of Color-Kinematics Duality and Double Copy - Class 5

Explore the fundamental principles of color-kinematics duality and the double copy construction in this advanced physics lecture delivered by Henrik Johansson from Uppsala University, Sweden. Delve into the mathematical framework that connects gauge theories and gravity through the elegant double copy procedure, which reveals deep structural relationships between Yang-Mills theory and Einstein's general relativity. Learn how color-kinematics duality provides a powerful organizational principle for scattering amplitudes, enabling the systematic construction of gravitational amplitudes from gauge theory counterparts. Examine the theoretical foundations, computational techniques, and physical insights that emerge from this revolutionary approach to understanding the connection between fundamental forces. Master the key concepts and mathematical tools necessary for applying these methods to calculate scattering amplitudes in both gauge theories and gravity, while gaining appreciation for the profound symmetries that underlie modern theoretical physics.