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.