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Large N limit of O(N) vector models

1994
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Physics Letters B
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Using a simple identity between various partial derivatives of the energy of the vector model in 0+0 dimensions, we derive explicit results for the coefficients of the large N expansion of the model. These coefficients are functions in a variable $\rho^2$, which is the expectation value of the two point function in the limit $N=\infty$. These functions are analytic and have only one (multiple) pole in $\rho^2$. We show to all orders that these expressions obey a given general formula. Using

doi:10.1016/0370-2693(94)90855-9
fatcat:dlchgmbvonddxgwqbj6hamx7yi