RP(n-1) model: Difference between revisions
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Carl McBride (talk | contribs) (New page: The '''real-projective space ''' (RP) model is given by :<math>H = - \sum_{x, \mu} ( \sigma(x) , \sigma (x, + \mu))^2</math> where ''H'' is the Hamiltonian of the system, the variab...) |
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The '''real-projective space ''' (RP) model is given by | The '''real-projective space ''' (RP) model is given by | ||
:<math>H = - \sum_{x, \mu} ( \sigma(x) , \sigma (x, + \mu))^2</math> | :<math>\left. H \right. = - \sum_{x, \mu} ( \sigma(x) , \sigma (x, + \mu))^2</math> | ||
where ''H'' is the [[Hamiltonian]] of the system, the variables <math>\sigma (x)</math> are ''n''-component unit vectors of | where ''H'' is the [[Hamiltonian]] of the system, the variables <math>\sigma (x)</math> are ''n''-component unit vectors of | ||
Revision as of 16:09, 6 September 2007
The real-projective space (RP) model is given by
where H is the Hamiltonian of the system, the variables are n-component unit vectors of sites x of a square lattice, and denotes the two directions of the lattice. The n=2 case of the model is equivalent to the XY model.
