Renormalization Group for Large N Strongly Commensurate Dirty Boson Model

Abstract

The large N sigma model, in D<4 space-time dimensions, with disorder a function of d space dimensions, is analyzed via a renormalization group treatment. Critical exponents for average quantities are calculated, first to lowest order and then to all orders, in $\epsilon =D-2-d/2$. In particular, it is found that $\nu d=2$. When D=d+1, this model is equivalent to a large N limit of the strongly commensurate dirty boson problem.

16 pages, 4 figures, to be published in PRB

References in corpus (1)

• Universal relaxational dynamics near two-dimensional quantum-critical points

Cited by in corpus (5)

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• Bose Glass in Large N Commensurate Dirty Boson Model
• Large-N theory of strongly commensurate dirty-bosons: absence of transition in two dimensions
• Quenched random mass disorder in the large N theory of vector bosons