- Solition in sine-Gordon theory
- What is the solition?
- Definition: Localized travelling wave solutions of the non-linear equation.(ex Kinks, but ...) Scattering condition (maybe mentioned together w/ sine-Gordon solitons).
- Definition: Localized travelling wave solutions of the non-linear equation.(ex Kinks, but ...) Scattering condition (maybe mentioned together w/ sine-Gordon solitons).
- Single and multi solition solutions of sine-Gordon theory
- There are exact exact solition soutions (w/ pictures)
- They have topological charges
- Time delay and inter-soliton force
- Time delay as the residual effect of collision (may write down the asymptotic form and the actual time delays)
- Time delay as the residual effect of collision (may write down the asymptotic form and the actual time delays)
- Doublet as the bound state
- Doublet periods (masses) are quantized
- The lowest doublet is the elementary boson (up to two loop)
- May comment why the one-loop matches with two loops
- May comment why the one-loop matches with two loops
- Doublet periods (masses) are quantized
- There are exact exact solition soutions (w/ pictures)
- What is the solition?
- Metamorphosis
- Fermions in 2d (briefly, how many components, Gamma matrices)
- Metamorphosis for free theories
- OPE of e^(iax) and fermions
- Mapping between constants
- From fermions to bosons
- OPE of e^(iax) and fermions
- Metamorphosis for the sine-Gordon theory
- Mandelstam's soliton operators
- Define soliton operators
- Commutation relations. To be fermions or not to be (minimal derivations. will have done it actually)
- Soliton operator satisfies the massive Thirring equation
- Define soliton operators
- Mandelstam's soliton operators
- Fermions in 2d (briefly, how many components, Gamma matrices)
- Conclusion - Solitons are fermions!
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