This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision | ||
models:toy_models:sine_gordon [2018/03/27 15:09] jakobadmin |
models:toy_models:sine_gordon [2018/05/05 12:50] (current) jakobadmin ↷ Links adapted because of a move operation |
||
---|---|---|---|
Line 1: | Line 1: | ||
- | ====== Sine-Gordon Model: $ \quad \mathcal{L} = \frac{1}{2} \left( (\partial_\mu \phi)^2 \right) - (1-cos \phi) $ ====== | + | <WRAP lag>$ \mathcal{L} = \frac{1}{2} \left( (\partial_\mu \phi)^2 \right) - (1-cos \phi) $</WRAP> |
+ | |||
+ | ====== Sine-Gordon Model ====== | ||
<tabbox Intuitive> | <tabbox Intuitive> | ||
Line 163: | Line 165: | ||
<tabbox Abstract> | <tabbox Abstract> | ||
- | The Sine-Gordon model is [[advanced_notions:quantum_field_theory:duality|dual]] to the massive Thirring model. | + | The Sine-Gordon model is [[advanced_notions:duality|dual]] to the massive Thirring model. |
This is surprising since the Sine-Gordon model is a purely scalar theory, while the massive Thirring model is a purely fermionic theory. However, the solitons in the Sine-Gordon model are fermionic, while the solitons in the Thirring model are scalars. | This is surprising since the Sine-Gordon model is a purely scalar theory, while the massive Thirring model is a purely fermionic theory. However, the solitons in the Sine-Gordon model are fermionic, while the solitons in the Thirring model are scalars. | ||
Line 184: | Line 186: | ||
<tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||
- | The Sine-Gordon model is a toy model that helps to understand fundamental notions like [[advanced_notions:quantum_field_theory:duality|duality]] in a simplified setup. | + | The Sine-Gordon model is a toy model that helps to understand fundamental notions like [[advanced_notions:duality|duality]] in a simplified setup. |