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The Mermin-Wagner Theorem - Condensed Matter Theory Group

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How symmetry breaking occurs in principle<br />

Actors<br />

Proof of the <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem<br />

Discussion<br />

<strong>The</strong> Bogoliubov inequality<br />

<strong>The</strong> <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem<br />

Putting what we found in the Schwarz inequality, we find that we<br />

proofed the Bogoliubov inequality<br />

1<br />

2 β<br />

A, +<br />

A [C, H]− , C +<br />

+<br />

<br />

≥<br />

−<br />

<br />

[C, A] 2 −<br />

Andreas Werner <strong>The</strong> <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem

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