Summary
The large-N limit is found in closed form for a class of matrix models in a zero-dimensional space-time. A method to sum in an approximate way planar graphs in every dimension is proposed and tested in dimension one.
Riassunto
Per una classe di modelli matriciali, in uno spazio-tempo zero dimensionale, troviamo in forma chiusa il limite di grandeN. Proponiamo un metodo approssimato per sommare grafi planari in ogni dimensione, e ne verifichiamo l'accuratezza in dimensione uno.
Резюме
Получается предел большихB в замкнутой форме для класса матричных моделей в простванстве-времени нулевой размерности. Предлагается приближенный метод суммирования планарных графиков в каждом измерении. Для проверки рассматривается случай одного измерения.
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Barbieri, A., Cicuta, G.M. & Montaldi, E. From vector models to planar graphs. Nuov Cim A 84, 173–202 (1984). https://doi.org/10.1007/BF02773446
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DOI: https://doi.org/10.1007/BF02773446