Evolution of a massless test scalar field on boson star space-times

Massless Scalar Field Theory in a Quantised Space - Time

A method is developed to construct a non-local massless scalar field theory in a flat quantised space-time generated by an operator algebra. Implicit in the operator algebra is a fundamental length scale of the space-time. The fundamental two-point function of free fields is constructed by assuming that the causal Green functions still have support on the light cone in the operator algebra quan...

Quantum field theory of a free massless (pseudo)scalar field in 1+1–dimensional space–time as a test for the massless Thirring model

We analyse different approaches to the description of the quantum field theory of a free massless (pseudo)scalar field defined in 1+1–dimensional space–time which describes the bosonized version of the massless Thirring model. These are (i) axiomatic quantum field theory, (ii) current algebra and (iii) path–integral. We show that the quantum field theory of a free massless (pseudo)scalar field ...

Massive or Massless Scalar Field and Confinement

Generalization of QCD motivated classical SU(2) Yang–Mills theory coupled to the scalar field is discussed. The massive scalar field, corresponding the scalar glueball, provides a confining potential for static, point–like, external sources. In case of massless scalar field screening solutions are found. However, there is a confining sector as well. Both, massive and massless confining solution...

On free massless (pseudo)scalar quantum field theory in 1+1–dimensional space–time

We construct a consistent quantum field theory of a free massless (pseudo)scalar field in 1+1–dimensional space–times free of infrared divergences. We show that a continuous symmetry of (pseudo)scalar field translations is spontaneously broken. Goldstone bosons appear as quanta of a free massless (pseudo)scalar field. We show that the main inequality between vacuum expectation values of certain...

Numerical simulations of the gravitational collapse for a massless scalar field in anti-de Sitter space