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General Relativity theory is reviewed following the vierbein field theory approach proposed in 1928 by Einstein. It is based on the vierbein field taken as the “square root” of the metric tensor field...
The goal of this paper is to present a formalism that allows to handle fourfermion effective theories at finite temperature and density in curved space. The formalism is based on the use of the effect...
We use the general boundary formulation (GBF) of quantum field theory to compute the S-matrix for a general interacting scalar field in curved spacetime. This S-matrix is obtained as the asymptotic li...
We study dynamics of a membrane and its matrix regularisation. We present the matrix regularisation for a membrane propagating in a curved space-time geometry in the presence of an arbitrary 3-form fi...
We will study the theory of scalar field in non-commutative curved space time (NCCST) with a percussionist who has been found by Mebaraki. In this paper, the motion equation of the scalar field will ...
In these lectures we consider some topics of Quantum Field Theory in Curved Space. In the first one particle creation in curved space is studied from a mathematical point of view, especially, particle...
Renormalization Group (RG) is a powerful method for investigating quantum effects of matter fields on curved background. The formalism of RG in curved space is well known since 1984, but its applicati...

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