These are my lecture notes for 23 Jan.
The related chapter Z-bach, Ch.7, is a discussion of worldsheet coordinate parametrization for the relativistic string. In particular, the worldsheet spatial coordinate sigma is chosen according to two criteria:
- that sigma be perpendicular to the worldsheet time coordinate tau, and
- that the energy density of the string dE/d(sigma) be constant in this parametrization.
PS: Here is an older set of notes on the Noether and Goldstone Theorems (from my graduate Quantum Field Theory course of a few years ago). These notes contain a pretty clear discussion of Noether’s Theorem and also Goldstone’s Theorem, in the context of relativistic field theories. YMMV, but I hope you find these notes helpful.
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