Showing changes from revision #2 to #3:
Added | ~~Removed~~ | ~~Chan~~ged

Abstract:~~ Although~~~~ still~~~~ far~~~~ from~~~~ understood~~~~ completely,~~~~ the~~~~ lessons~~~~ of~~~~ the~~~~ Poisson~~~~ sigma~~~~ model~~~~ up~~~~ to~~~~ here~~~~ were~~~~ already~~~~ numerous:~~~~ on~~~~ deformation~~~~ quantization,~~~~ on~~~~ integration~~~~ of~~~~ Lie~~~~ algebroids,~~~~ and~~~~ on~~~~ unification~~~~ of~~~~ forces~~~~ in~~~~ two~~~~ dimensions,~~~~ to~~~~ name~~~~ the~~~~ most~~~~ important~~~~ ones.~~~~ The~~~~ apparently~~~~ insignificant~~~~ generalization~~~~ in~~~~ form~~~~ of~~~~ the~~~~ Dirac~~~~ sigma~~~~ model~~~~ so~~~~ as~~~~ to~~~~ include~~~~ also~~~~ the~~~~ G/G~~~~ WZW~~~~ model~~~~ is~~~~ much~~~~ less~~~~ understood~~~~ and~~~~ shows~~~~ interesting~~~~ additional~~~~ effects:~~~~ they~~~~ range~~~~ from~~~~ the~~~~ possibility~~~~ to~~~~ gauge~~~~ a~~~~ standard~~~~ sigma~~~~ model~~~~ in~~~~ the~~~~ absence~~~~ of~~~~ Killing~~~~ symmetries~~~~ of~~~~ its~~~~ target~~~~ metric~~~~ (in~~~~ arbitrary~~~~ dimensions~~~~ of~~~~ spacetime),~~~~ over~~~~ the~~~~ use~~~~ of~~~~ only~~~~ finitely~~~~ many~~~~ gauge~~~~ fields~~~~ for~~~~ the~~~~ gauging~~~~ of~~~~ infinite~~~~ dimensional~~~~ symmetries,~~~~ to~~~~ a~~~~ universality~~~~ property~~~~ of~~~~ the~~~~ two-dimensional~~~~ model~~~~ for~~~~ gauging~~~~ standard~~~~ sigma~~~~ models~~~~ with~~~~ Wess-Zumino~~~~ term.~~~~ We~~~~ intend~~~~ to~~~~ also~~~~ comment~~~~ on~~~~ ideas~~~~ for~~~~ “ing~~~~ higher’’.~~

The gauge principle is at the heart of essential parts of high energy physics. We will show that variations of this old idea of gauging permit us to go/get high.

Last revised on October 25, 2014 at 15:23:00. See the history of this page for a list of all contributions to it.