Add to ORKGThe large momentum expansion for the inverse propagator of the auxiliary field $\lambda(x)$ in the conformally invariant O(N) vector model is calculated to leading order in 1/N, in a strip-like geometry with one finite dimension of length $L$ for $2<d<4$. Its leading terms are identified as contributions from previous calculation based on conformal operator product expansions. It is found that a non-trivial cancellation takes place by virtue of the gap equation. The leading coefficient of the energy momentum tensor contribution is shown to be related to the free energy density. A possible duality property of the model is also discussed
Classical field configurations such as the Coulomb potential and Schwarzschild solution are built fr...
We take an analytic approach to the CFT bootstrap, studying the 4-pt correlators of d > 2 dimensiona...
In an arbitrary unitary 4D CFT we consider a scalar operator \phi, and the operator \phi^2 defined a...
We study the dimensional continuation of the sphere free energy in conformal field theories. In cont...
The critical $O(N)$ CFT in spacetime dimensions $2 < d < 4$ is one of the most important examples of...
We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting surface” algorithm...
We continue the study of model-independent constraints on the unitary conformal field theories (CFTs...
We introduce a new numerical algorithm based on semidefinite programming to efficiently compute boun...
Many two-dimensional conformal field theories have an alternative integrable scattering description,...
The $N=\infty$ vector $O(N)$ model is a solvable, interacting field theory in three dimensions ($D$)...
We give a detailed Operator Product Expansion interpretation of the results for conformal 4-point fu...
The Cubic CFT can be understood as the O(3) invariant CFT perturbed by a slightly relevant operator....
The $F$-theorem states that in three dimensions the sphere free energy of a field theory must decrea...
We describe in detail the method used in our previous work arXiv:1611.10344 to study the Wilson-Fish...
We initiate the study of Dyson equations of perturbative QFT in AdS and their consequences for large...
Classical field configurations such as the Coulomb potential and Schwarzschild solution are built fr...
We take an analytic approach to the CFT bootstrap, studying the 4-pt correlators of d > 2 dimensiona...
In an arbitrary unitary 4D CFT we consider a scalar operator \phi, and the operator \phi^2 defined a...
We study the dimensional continuation of the sphere free energy in conformal field theories. In cont...
The critical $O(N)$ CFT in spacetime dimensions $2 < d < 4$ is one of the most important examples of...
We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting surface” algorithm...
We continue the study of model-independent constraints on the unitary conformal field theories (CFTs...
We introduce a new numerical algorithm based on semidefinite programming to efficiently compute boun...
Many two-dimensional conformal field theories have an alternative integrable scattering description,...
The $N=\infty$ vector $O(N)$ model is a solvable, interacting field theory in three dimensions ($D$)...
We give a detailed Operator Product Expansion interpretation of the results for conformal 4-point fu...
The Cubic CFT can be understood as the O(3) invariant CFT perturbed by a slightly relevant operator....
The $F$-theorem states that in three dimensions the sphere free energy of a field theory must decrea...
We describe in detail the method used in our previous work arXiv:1611.10344 to study the Wilson-Fish...
We initiate the study of Dyson equations of perturbative QFT in AdS and their consequences for large...
Classical field configurations such as the Coulomb potential and Schwarzschild solution are built fr...
We take an analytic approach to the CFT bootstrap, studying the 4-pt correlators of d > 2 dimensiona...
In an arbitrary unitary 4D CFT we consider a scalar operator \phi, and the operator \phi^2 defined a...