Explore an advanced physics lecture that delves into the second part of an examination of the Strong CP problem, a fundamental puzzle in quantum chromodynamics and particle physics. Learn about the theoretical frameworks and mathematical foundations that underpin this complex quantum mechanical phenomenon through detailed explanations and mathematical derivations. Gain insights into how this problem relates to fundamental symmetries in nature and its implications for our understanding of the universe at the quantum level. The lecture, presented at the prestigious Galileo Galilei Institute, provides a thorough mathematical treatment of the topic while building upon concepts introduced in the first lecture of the series.