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advanced_tools:cohomology [2017/05/07 15:24]
jakobadmin
advanced_tools:cohomology [2017/05/07 15:25]
jakobadmin
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 <tabbox Why is it interesting?> ​ <tabbox Why is it interesting?> ​
  
-In physics ​with a given gauge symmetry (redundancy) we are interested in what our actual non-redundant physical states are. These can be found with the help of a special kind of cohomology, called BRST cohomology.+In a theory ​with a given gauge symmetry (redundancy) we are interested in what our actual non-redundant physical states are. These can be found with the help of a special kind of cohomology, called BRST cohomology.
  
 The BRST operator is used to identify physical states. These are to be contrasted with unphysical states that only appear as convenient computational tools. The BRST operator is used to identify physical states. These are to be contrasted with unphysical states that only appear as convenient computational tools.
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 $$ \mathcal{H}_{phys} = \frac{\text{Ker}Q_{BRST}}{\text{Im}Q_{BRST}} . $$ $$ \mathcal{H}_{phys} = \frac{\text{Ker}Q_{BRST}}{\text{Im}Q_{BRST}} . $$
  
-See section 5.3 in [[:​wwwthep.physik.uni-mainz.de/​~scheck/​Paschke.ps|this paper]].+See section 5.3 in [[http://wwwthep.physik.uni-mainz.de/​~scheck/​Paschke.ps|this paper]].
  
 Another important role is played be deRham cohomology in electrodynamics. (See Gauge Fields, Knots and Gravity by John Baez, Javier P Muniain) Another important role is played be deRham cohomology in electrodynamics. (See Gauge Fields, Knots and Gravity by John Baez, Javier P Muniain)
advanced_tools/cohomology.txt · Last modified: 2017/05/07 15:25 by jakobadmin · Currently locked by: 172.71.154.30,34.207.137.245