Asia-Pacific Symposium for Lattice Field Theory (APLAT 2020)

Radial Lattice Quantization of 3D ϕ4 Field Theory

6 Aug 2020, 14:00

20m

online

Theoretical Developments Theoretical Developments

Speaker

Andrew Gasbarro (*) (University of Bern)

Description

We present numerical results for 3d ${\varphi }^4$ field theory on the $R\times S^2$ manifold in radial quantization using the quantum extension of the finite element method (QFE). The Monte Carlo study supports the QFE ansatz that once counterterms cancel effects from geometric defects in the UV, one reaches the nonperturbative conformal fixed point of the 3d Ising CFT. We demonstrate that including the Ricci curvature term for an improved lattice action drastically accelerates the approach to the continuum limit, opening the way for high precision calculation of scaling dimensions, OPE couplings, and the central charge.

Presentation materials

gasbarro_APLAT2020.pdf