We present a class of classically marginal N-vector models in d=4 and d=3 whose scalar potentials can be written as subdeterminants of symmetric matrices. The d=3 case can be thought of as a generalization of the scalar sector of the Bagger-Lambert-Gustavsson model. Using the Hubbard-Stratonovich transformation we calculate their effective potentials which exhibit intriguing large-N scaling behaviors. We comment on the possible relevance of our models to strings, membranes, and also to a class of novel spin systems that are based on ternary commutation relations. © 2010 The American Physical Society
Leigh, R., Mauri, A., Minic, D., Petkou, A. (2010). Gauge fields, membranes, and subdeterminant vector models. PHYSICAL REVIEW LETTERS, 104(22) [10.1103/PhysRevLett.104.221801].
Gauge fields, membranes, and subdeterminant vector models
MAURI, ANDREASecondo
;
2010
Abstract
We present a class of classically marginal N-vector models in d=4 and d=3 whose scalar potentials can be written as subdeterminants of symmetric matrices. The d=3 case can be thought of as a generalization of the scalar sector of the Bagger-Lambert-Gustavsson model. Using the Hubbard-Stratonovich transformation we calculate their effective potentials which exhibit intriguing large-N scaling behaviors. We comment on the possible relevance of our models to strings, membranes, and also to a class of novel spin systems that are based on ternary commutation relations. © 2010 The American Physical Society
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