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U(1). Define a property characterized by a single value. E.G. Objects color Change it uniformally (globally) without changing physics Change is QM change of phase. SU(2). Mixture of two things Same as misture of spin ½ z-components Equivalent to a rotation in a internal 3-4 space.
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U(1) • Define a property characterized by a single value. • E.G. Objects color • Change it uniformally (globally) without changing physics • Change is QM change of phase
SU(2) • Mixture of two things • Same as misture of spin ½ z-components • Equivalent to a rotation in a internal 3-4 space. • Changes the direction of the axis of quantization.
Local • Transformation depends on position