I am reading about spontaneous symmtry breaking for superconductors and came a cross to this simple statement:(adsbygoogle = window.adsbygoogle || []).push({});

Here is the potential for complex scalar field: [itex] V = 1/2 \lambda^2 (|\phi|^2 -\eta^2)^2 [/itex].

Scalar field is small and we can expand its modulus around [itex] \eta [/itex]:

[tex]

\phi(x) = |\phi(x)| e^{i \alpha(x)} = (\eta + \frac{1}{\sqrt{2}} \phi(x)) e^{i \alpha(x)}

[/tex]

How did he do that expansion???

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# Taylor expansion for SSB

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