Non-Perturbative Energy Splitting in Symmetric Potentials

This lecture covers the derivation of the instanton pre-factor and the general formula for non-perturbative energy splitting in arbitrary symmetric potentials with degenerate minima, illustrated with examples. The discussion includes the concept of saddle points, the double well potential, dilute instanton gas approximation, and the twisted partition function. The lecture concludes with exercises demonstrating the simplification of expressions and the application of classical quantities to fully express energy splitting.