Some Notes concerning the Dynamics of Noncommutative Lumps Corresponding to Nontrivial Vacua in the Noncommutative Yang–mills Models Which Are Perturbative Branches of M(atrix) Theory
نویسنده
چکیده
We consider a pair of noncommutative lumps in the noncommutative Yang–Mills/M(atrix) model. In the case when the lumps are separated by a finite distance their “polarisations” do not belong to orthogonal subspaces of the Hilbert space. In this case the interaction between lumps is nontrivial. We analyse the dynamics arisen due to this interaction in both naive approach of rigid lumps and exactly as described by the underlying gauge model. It appears that the exact description is given in terms of finite matrix models/multidimensional mechanics whose dimensionality depends on the initial conditions.
منابع مشابه
Some Notes concerning the Dynamics of Noncommutative Solitons in the M(atrix) Theory as Well as in the Noncommutative Yang–mills Model
We consider a pair of noncommutative solitons in the noncommutative Yang–Mills/M(atrix) model. In the case when the solitons are separated by a finite distance their “polarisations” do not belong to orthogonal subspaces of the Hilbert space. In this case the interaction between solitons is nontrivial. We analyse the dynamics arisen due to this interaction in both naive approach of rigid soliton...
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