text: 420,19,1278025915683962880,804397363402067968,Timothy Raben,"Cool new paper out <LINK> I'm really proud of this one! What's the idea: build a lattice version of ""radial quantization"" in order to study a theory like the 3d Ising model. This is the nth in a series of papers my collaborators have been writing about doing lattice field theory on non-euclidean manifolds. What is radial quantization? Basically it's like the conformal map that takes you from the plane to the sphere (really a cylinder with spherical cross section) Why is it interesting? Traditional euclidean lattice FT has discrete transnational symmetry, but isn't rotationally invariant and you can't see large scales without using huge lattices (computationally a pain!) Radial quantization includes exponentially large scales and we show our QFE procedure restores rotational symmetry. One of the fun things we found is that you have to include a Ricci curvature term to get ""good"" results. This term vanishes in the continuum limit, but including it leads to much, much faster convergence. The end result is that we are ready to do real high precision tests of the 3d Ising Model. This is a complimentary approach to things like the ""conformal bootstrap"". We are directly probing the specific theory of 3d Ising.",https://arxiv.org/abs/2006.15636,"The quantum extension of classical finite elements, referred to as quantum finite elements ({\bf QFE})~\cite{Brower:2018szu,Brower:2016vsl}, is applied to the radial quantization of 3d $\phi^4$ theory on a simplicial lattice for the $\mathbb R \times \mathbb S^2$ manifold. Explicit counter terms to cancel the one- and two-loop ultraviolet defects are implemented to reach the quantum continuum theory. Using the Brower-Tamayo~\cite{Brower:1989mt} cluster Monte Carlo algorithm, numerical results support the QFE ansatz that the critical conformal field theory (CFT) is reached in the continuum with the full isometries of $\mathbb R \times \mathbb S^2$ restored. The Ricci curvature term, while technically irrelevant in the quantum theory, is shown to dramatically improve the convergence opening, the way for high precision Monte Carlo simulation to determine the CFT data: operator dimensions, trilinear OPE couplings and the central charge. ",Radial Lattice Quantization of 3D $\phi^4$ Field Theory,7,"['Cool new paper out <LINK>\n\nI\'m really proud of this one!\n\nWhat\'s the idea: build a lattice version of ""radial quantization"" in order to study a theory like the 3d Ising model.', 'This is the nth in a series of papers my collaborators have been writing about doing lattice field theory on non-euclidean manifolds.', ""What is radial quantization?\n\nBasically it's like the conformal map that takes you from the plane to the sphere (really a cylinder with spherical cross section)"", ""Why is it interesting? Traditional euclidean lattice FT has discrete transnational symmetry, but isn't rotationally invariant and you can't see large scales without using huge lattices (computationally a pain!)"", 'Radial quantization includes exponentially large scales and we show our QFE procedure restores rotational symmetry.', 'One of the fun things we found is that you have to include a Ricci curvature term to get ""good"" results. This term vanishes in the continuum limit, but including it leads to much, much faster convergence.', 'The end result is that we are ready to do real high precision tests of the 3d Ising Model. This is a complimentary approach to things like the ""conformal bootstrap"". We are directly probing the specific theory of 3d Ising.']",20,06,1222