The sphere free energy of the vector models to order $1/N$

Ludo Fraser-Taliente

We calculate the large-$N$ expansion of the sphere free energy $F=-\log Z_{S^d}$ of the O(N) ${\varphi }^4$ and the Gross-Neveu $(\bar{\psi }\psi {)}^2$ CFTs to order $1/N$. Analytic regularization of…