User Tools

Site Tools


advanced_notions:chern-simons

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
advanced_notions:chern-simons [2017/11/20 13:50]
jakobadmin [Student]
advanced_notions:chern-simons [2017/11/22 10:46] (current)
jakobadmin [Student]
Line 16: Line 16:
   ​   ​
 <tabbox Student> ​ <tabbox Student> ​
-For a great summary see section 2 in [[https://​arxiv.org/​pdf/​hep-th/​0103017.pdf|Collaborating with David Gross; Descendants of the Chiral Anomaly]] by R. Jackiw+For a great summary see section 2 in [[https://​arxiv.org/​pdf/​hep-th/​0103017.pdf|Collaborating with David Gross; Descendants of the Chiral Anomaly]] by R. Jackiw ​and the [[http://​home.mathematik.uni-freiburg.de/​cookies17/​files/​Moffatt_Freiburg%20Lecture%20Notes.pdf|Freiburg Lecture Notes]] by H.K.Moffatt
  
-<note tip>​Chern-Simons terms are known under different names in different branches of physics. In fluid mechanics it is usually called "fluid helicity",​ in plasma physics and magnetohydrodynamics "​magnetic helicity"​. In the context of field theories it is usually called Chern-Simons term.+<note tip>Chern-Simons terms describe topological properties of systems. A topological property is something that remains unchanged under small geometric changes.  
 + 
 + 
 +Chern-Simons terms are known under different names in different branches of physics. In fluid mechanics it is usually called "fluid helicity",​ in plasma physics and magnetohydrodynamics "​magnetic helicity"​. In the context of field theories it is usually called Chern-Simons term.
 </​note>​ </​note>​
  
Line 106: Line 109:
  
 [[http://​www.annualreviews.org/​doi/​pdf/​10.1146/​annurev.fl.20.010188.001301|HAMILTONIAN FLUID MECHANICS]] by Rick Salmon ​ [[http://​www.annualreviews.org/​doi/​pdf/​10.1146/​annurev.fl.20.010188.001301|HAMILTONIAN FLUID MECHANICS]] by Rick Salmon ​
 +
 +For an experimental proof that knotted vortices exist indeed in nature, see [[https://​www.nature.com/​articles/​nphys2560|Creation and dynamics of knotted vortices]] by Dustin Kleckner & William T. M. Irvine
  
 <-- <--
advanced_notions/chern-simons.1511182239.txt.gz · Last modified: 2017/12/04 08:01 (external edit)