advanced_tools:cohomology
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advanced_tools:cohomology [2017/05/07 15:23] jakobadmin created |
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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 Paschke 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.1494163419.txt.gz ยท Last modified: 2017/12/04 08:01 (external edit)
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