Quantum energies of BPS vortices in D=2+1 and D=3+1
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We consider the thermal behavior of a large number of matrix degrees of freedom in the planar limit. We work in dimensions, with matrices, and use as an expansion parameter. This can be thought of as a noncommutative large- vector model, with two independent quartic couplings for the two different orderings of the matrices. We compute a thermal two-point correlator to and find that the degeneracy present at large is lifted, with energy levels split by an amount . This implies a timescale for thermal dissipation . At high temperatures dissipation is predominantly due to one of the two quartic couplings.more » « less
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