Beyond Expectation Values: Generalized Semiclassical Expansions for Matrix Elements of Gauge Coherent States
This paper derives a generalized semiclassical asymptotic expansion for off-diagonal matrix elements of non-polynomial operators in gauge theories, demonstrating that organizing the expansion around the genuine off-diagonal Berezin symbol rather than diagonal expectation values preserves the full holomorphic structure and provides accurate results for volume and flux operators in Loop Quantum Gravity, particularly when coherent-state labels are well separated.