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Section 1.4 Global vs. Local (Gauge) Symmetry

202608010001 | global symmetry local (gauge) symmetry Noether's theorem variations generators
Table 1.4.1. Global vs. Local (Gauge) Symmetry
Concept Global symmetry Local (gauge) symmetry
Symmetry range
Same shift everywhere
Different shift at every point
Generator action
Translates states through space and time
Rotates internal phases locally
Variational result
Yields a conserved quantity (e.g., momentum and energy)
Yields a physical force field (e.g., electromagnetism and gluons)