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Diffstat (limited to 'source/know/concept/self-energy')
-rw-r--r-- | source/know/concept/self-energy/definition.avif | bin | 0 -> 6419 bytes | |||
-rw-r--r-- | source/know/concept/self-energy/definition.png (renamed from source/know/concept/self-energy/selfenergy.png) | bin | 10213 -> 10213 bytes | |||
-rw-r--r-- | source/know/concept/self-energy/dyson.avif | bin | 0 -> 4139 bytes | |||
-rw-r--r-- | source/know/concept/self-energy/expansion.avif | bin | 0 -> 4344 bytes | |||
-rw-r--r-- | source/know/concept/self-energy/expansion.png (renamed from source/know/concept/self-energy/fullgf.png) | bin | 6127 -> 6127 bytes | |||
-rw-r--r-- | source/know/concept/self-energy/index.md | 12 |
6 files changed, 3 insertions, 9 deletions
diff --git a/source/know/concept/self-energy/definition.avif b/source/know/concept/self-energy/definition.avif Binary files differnew file mode 100644 index 0000000..5171e73 --- /dev/null +++ b/source/know/concept/self-energy/definition.avif diff --git a/source/know/concept/self-energy/selfenergy.png b/source/know/concept/self-energy/definition.png Binary files differindex 59b8542..59b8542 100644 --- a/source/know/concept/self-energy/selfenergy.png +++ b/source/know/concept/self-energy/definition.png diff --git a/source/know/concept/self-energy/dyson.avif b/source/know/concept/self-energy/dyson.avif Binary files differnew file mode 100644 index 0000000..3a6cc50 --- /dev/null +++ b/source/know/concept/self-energy/dyson.avif diff --git a/source/know/concept/self-energy/expansion.avif b/source/know/concept/self-energy/expansion.avif Binary files differnew file mode 100644 index 0000000..0a8a014 --- /dev/null +++ b/source/know/concept/self-energy/expansion.avif diff --git a/source/know/concept/self-energy/fullgf.png b/source/know/concept/self-energy/expansion.png Binary files differindex 631d23f..631d23f 100644 --- a/source/know/concept/self-energy/fullgf.png +++ b/source/know/concept/self-energy/expansion.png diff --git a/source/know/concept/self-energy/index.md b/source/know/concept/self-energy/index.md index 005f135..f233466 100644 --- a/source/know/concept/self-energy/index.md +++ b/source/know/concept/self-energy/index.md @@ -204,9 +204,7 @@ that exactly $$2^m m!$$ diagrams at each order are topologically equivalent, so we are left with non-equivalent diagrams only. Let $$G(b,a) = G_{ba}$$: -<a href="fullgf.png"> -<img src="fullgf.png" style="width:90%"> -</a> +{% include image.html file="expansion.png" width="90%" alt="Full expansion of G in Feynman diagrams" %} A **reducible diagram** is a Feynman diagram that can be cut in two valid diagrams @@ -217,9 +215,7 @@ At last, we define the **self-energy** $$\Sigma(y,x)$$ as the sum of all irreducible terms in $$G(b,a)$$, after removing the two external lines from/to $$a$$ and $$b$$: -<a href="selfenergy.png"> -<img src="selfenergy.png" style="width:90%"> -</a> +{% include image.html file="definition.png" width="90%" alt="Definition of self-energy" %} Despite its appearance, the self-energy has the semantics of a line, so it has two endpoints over which to integrate if necessary. @@ -238,9 +234,7 @@ Thanks to this recursive structure, you can convince youself that $$G(b,a)$$ obeys a [Dyson equation](/know/concept/dyson-equation/) involving $$\Sigma(y, x)$$: -<a href="dyson.png"> -<img src="dyson.png" style="width:95%"> -</a> +{% include image.html file="dyson.png" width="95%" alt="Dyson equation in Feynman diagrams" %} This makes sense: in the "normal" Dyson equation we have a one-body perturbation instead of $$\Sigma$$, |