6533b870fe1ef96bd12cf0e4

RESEARCH PRODUCT

Quantum Field Theory on a Discrete Space and Noncommutative Geometry

R. Haeussling

subject

High Energy Physics - TheoryPhysicsTheoretical physicsQuantization (physics)High Energy Physics - Theory (hep-th)Discrete spaceSpontaneous symmetry breakingFOS: Physical sciencesGeneral Physics and AstronomyQuantum field theoryNoncommutative geometry

description

We analyse in detail the quantization of a simple noncommutative model of spontaneous symmetry breaking in zero dimensions taking into account the noncommutative setting seriously. The connection to the counting argument of Feyman diagrams of the corresponding theory in four dimensions is worked out explicitly. Special emphasis is put on the motivation as well as the presentation of some well-known basic notions of quantum field theory which in the zero-dimensional theory can be studied without being spoiled by technical complications due to the absence of divergencies.

https://doi.org/10.1006/aphy.2002.6266