t5 - updated Tuesday 23 rd March, 2010 06:10 5. spontaneous...

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Unformatted text preview: updated Tuesday 23 rd March, 2010 06:10 5. spontaneous symmetry breaking and Goldstone bosons (a) the linear σ-model (b) the non-linear σ-model (c) SU (2) × SU (2) and SU (3) × SU (3) effective chiral theory (d) accidental symmetry and the Coleman-Weinberg potential (e) not sure whether to do CCWZ and matter fields- maybe later ???? the physics of spontaneously broken continuous symmetry — a mechanical analogy transverse waves in a string described by wave function ψ ( x ) . . . . .......................................................................................................................................................................................................................................................................................................................................................................... the physics of spontaneously broken continuous symmetry — a mechanical analogy transverse waves in a string described by wave function ψ ( x ) system invariant under translations x → x + c normal modes ψ ( x + c ) ∝ ψ ( x ) ⇒ normal modes e ikx . . . . .......................................................................................................................................................................................................................................................................................................................................................................... the physics of spontaneously broken continuous symmetry — a mechanical analogy transverse waves in a string described by wave function ψ ( x ) system invariant under translations x → x + c normal modes ψ ( x + c ) ∝ ψ ( x ) ⇒ normal modes e ikx . . . . . .............................................................................................................................................................................................................................................................................................................................................................................. . . ... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... the physics of spontaneously broken continuous symmetry — a mechanical analogy transverse waves in a string described by wave function ψ ( x ) system invariant under translations x → x + c normal modes ψ ( x + c ) ∝ ψ ( x ) ⇒ normal modes e i kx dispersion relation ω 2 ( k 2 ) ∝ restoring force for the k mode from mechanical properties of the string (tension, stiffness, etc) . . . . ....
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This note was uploaded on 02/04/2012 for the course PHY 253B taught by Professor Georgi during the Spring '10 term at Princeton.

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t5 - updated Tuesday 23 rd March, 2010 06:10 5. spontaneous...

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