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- W2055605864 abstract "The multicritical points of the $O(N)$ invariant $N$ vector model in the large $N$ limit are reexamined. Of particular interest are the subtleties involved in the stability of the phase structure at critical dimensions. In the limit $N to infty$ while the coupling $g to g_c$ in a correlated manner (the double scaling limit) a massless bound state $O(N)$ singlet is formed and powers of $1/N$ are compensated by IR singularities. The persistence of the $N to infty$ results beyond the leading order is then studied with particular interest in the possible existence of a phase with propagating small mass vector fields and a massless singlet bound state. We point out that under certain conditions the double scaled theory of the singlet field is non-interacting in critical dimensions." @default.
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- W2055605864 date "1996-07-01" @default.
- W2055605864 modified "2023-09-26" @default.
- W2055605864 title "The O(N) vector model in the large-N limit revisited: multicritical points and double scaling limit" @default.
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- W2055605864 doi "https://doi.org/10.1016/0550-3213(96)00168-x" @default.
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