Lesson plan

Background field method

In theoretical physics, background field method is a useful procedure to calculate the effective action of a quantum field theory by expanding a quantum field around a classical "background" value B: : \phi(x) = B(x) + \eta (x) . After this is done, the Green's functions are evaluated as a function of the background. This approach has the advantage that the gauge invariance is manifestly preserved if the approach is applied to gauge theory.

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Article summary

In theoretical physics, background field method is a useful procedure to calculate the effective action of a quantum field theory by expanding a quantum field around a classical "background" value B: : \phi(x) = B(x) + \eta (x) . After this is done, the Green's functions are evaluated as a function of the background. This approach has the advantage that the gauge invariance is manifestly preserved if the approach is applied to gauge theory.

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  1. Summarise the article in your own words. Which single claim would you verify first, and why?
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  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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