C. Klimcik

TL;DR: In this article, a self-interacting scalar field on a truncated sphere is described and quantized using the functional (path) integral approach, which possesses full symmetry with respect to the isometries of the sphere.

TL;DR: In this paper, the authors describe spinor fields with nonvanishing winding number on a truncated (fuzzy) sphere, and the corresponding field theory actions conserve all basic symmetries of the standard commutative version (space isometries and global chiral symmetry).

TL;DR: In this article, the truncated 4-dimensional sphereS4 and the action of the self-interacting scalar field on it are constructed and path integral quantization is performed while simultaneously keeping theSO(5) symmetry and the finite number of degrees of freedom.

TL;DR: A lattice-type regularization of supersymmetric field theories on a supersphere was constructed by approximating the ring of scalar superfields by an integer-valued sequence of finite dimensional rings of supermatrices and by using the differencial calculus of non-commutative geometry.

TL;DR: In this paper, the authors describe a self-interacting scalar field on the truncated sphere and perform the quantization using the functional (path) integral approach, and explicitely show that the model is finite and the UV-regularization automatically takes place.