From bcae81336764eb6c4cdf0f91e2fe632b625dd8b2 Mon Sep 17 00:00:00 2001 From: Prefetch Date: Sun, 23 Oct 2022 22:18:11 +0200 Subject: Optimize and improve naming of all images in knowledge base --- source/know/concept/self-energy/definition.avif | Bin 0 -> 6419 bytes source/know/concept/self-energy/definition.png | Bin 0 -> 10213 bytes source/know/concept/self-energy/dyson.avif | Bin 0 -> 4139 bytes source/know/concept/self-energy/expansion.avif | Bin 0 -> 4344 bytes source/know/concept/self-energy/expansion.png | Bin 0 -> 6127 bytes source/know/concept/self-energy/fullgf.png | Bin 6127 -> 0 bytes source/know/concept/self-energy/index.md | 12 +++--------- source/know/concept/self-energy/selfenergy.png | Bin 10213 -> 0 bytes 8 files changed, 3 insertions(+), 9 deletions(-) create mode 100644 source/know/concept/self-energy/definition.avif create mode 100644 source/know/concept/self-energy/definition.png create mode 100644 source/know/concept/self-energy/dyson.avif create mode 100644 source/know/concept/self-energy/expansion.avif create mode 100644 source/know/concept/self-energy/expansion.png delete mode 100644 source/know/concept/self-energy/fullgf.png delete mode 100644 source/know/concept/self-energy/selfenergy.png (limited to 'source/know/concept/self-energy') diff --git a/source/know/concept/self-energy/definition.avif b/source/know/concept/self-energy/definition.avif new file mode 100644 index 0000000..5171e73 Binary files /dev/null and b/source/know/concept/self-energy/definition.avif differ diff --git a/source/know/concept/self-energy/definition.png b/source/know/concept/self-energy/definition.png new file mode 100644 index 0000000..59b8542 Binary files /dev/null and b/source/know/concept/self-energy/definition.png differ diff --git a/source/know/concept/self-energy/dyson.avif b/source/know/concept/self-energy/dyson.avif new file mode 100644 index 0000000..3a6cc50 Binary files /dev/null and b/source/know/concept/self-energy/dyson.avif differ diff --git a/source/know/concept/self-energy/expansion.avif b/source/know/concept/self-energy/expansion.avif new file mode 100644 index 0000000..0a8a014 Binary files /dev/null and b/source/know/concept/self-energy/expansion.avif differ diff --git a/source/know/concept/self-energy/expansion.png b/source/know/concept/self-energy/expansion.png new file mode 100644 index 0000000..631d23f Binary files /dev/null and b/source/know/concept/self-energy/expansion.png differ diff --git a/source/know/concept/self-energy/fullgf.png b/source/know/concept/self-energy/fullgf.png deleted file mode 100644 index 631d23f..0000000 Binary files a/source/know/concept/self-energy/fullgf.png and /dev/null differ 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 $$G(b,a) = G_{ba}$$: - - - +{% 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 $$b$$: - - - +{% 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 $$\Sigma(y, x)$$: - - - +{% 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 $$\Sigma$$, diff --git a/source/know/concept/self-energy/selfenergy.png b/source/know/concept/self-energy/selfenergy.png deleted file mode 100644 index 59b8542..0000000 Binary files a/source/know/concept/self-energy/selfenergy.png and /dev/null differ -- cgit v1.2.3