Probing the fuzzy sphere regularisation in simulations of the 3d \lambda \phi^4 model

Understand

We regularise the 3d \lambda \phi^4 model by discretising the Euclidean time and representing the spatial part on a fuzzy sphere.

• The latter involves a truncated expansion of the field in spherical harmonics.
• This yields a numerically tractable formulation, which constitutes an unconventional alternative to the lattice.
• In contrast to the 2d version, the radius R plays an independent r\^{o}le.