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U(1)

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)

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  1. 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

  2. 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.

  3. Local • Transformation depends on position

  4. Rotating the arms through 90o

  5. A+BC+DAC+D+Bbar

  6. Different time ordering same topology

  7. Weak

  8. QCD pion exchange

  9. example

  10. Example

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