Born-Infeld Theory:
Born-Infeld Theory:
Born-Infeld Theory:
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• <strong>Born</strong>-<strong>Infeld</strong> Electrodynamics: self-duality<br />
Canonically conjugate variables<br />
�<br />
H<br />
∂L<br />
=− �<br />
∂B<br />
�<br />
D<br />
Duality transformation<br />
∂L<br />
= �<br />
∂E<br />
� � � �<br />
D+ iB→ e<br />
iθ<br />
( D+ iB)<br />
� � � �<br />
iθ<br />
E + iH → e ( E + iH )<br />
Leads to highly non-trivial and non-linear constraint<br />
� � ��<br />
DH = EB
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