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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 />

For the proof of the <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem we will use the<br />

Bogoliubov inequality<br />

1<br />

2 β<br />

A, A †<br />

[C, H] − , C<br />

+<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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