Re-Visiting Quantum Gauge Field Theories --Trouble with the Standard Model?

Professor Hung Cheng (MIT)

A review will be given on the two pillars of the modern formulation of quantum gauge field theories--path integration and dimensional regularization. I shall argue that they should be relegated to a complementary role in the theory of quantized fields. Indeed, while the Fadeev-Popove formalism of path integration has serious faults, dimensional regularization is deficient in various aspects. A calculation on the basis of renormalized perturbation and the Ward-Takahashi identities show that the next-order triangular anomaly is not zero, contradicting the Adler-Bardeen theorem.