ISSN:
1434-6036
Keywords:
PACS. 05.70.Jk Critical point phenomena - 11.10.Gh Renormalization - 64.60.Ak Renormalization-group, fractal, and percolation studies of phase transitions - 75.10.Hk Classical spin models
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: We introduce a generalization of the O(N) field theory to N-colored membranes of arbitrary inner dimension D. The O(N) model is obtained for , while leads to self-avoiding tethered membranes (as the O(N) model reduces to self-avoiding polymers). The model is studied perturbatively by a 1-loop renormalization group analysis, and exactly as .Freedom to choose the expansion point D, leads to precise estimates of critical exponents of the O(N) model. Insights gained from this generalization include a conjecture on the nature of droplets dominating the 3d-Ising model at criticality; and the fixed point governing the random bond Ising model.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100510050604
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