1 citations · 1 across the 5 of their papers we have counts for
7 papers
Defining some integrals in Regge calculus
V. M. Khatsymovsky
Regge calculus minisuperspace action in the connection representation has the form in which each term is linear over some field variable (scale of area-type variable with sign). We…
Independent 4-tetrahedra connection representation of Regge calculus
V. M. Khatsymovsky
We consider simplest piecewise flat manifold consisting of two identical 4-tetrahedra (call it bisimplex). General relativity action for arbitrary piecewise flat manifold can be ex…
Gravity action on discontinuous metrics
V. M. Khatsymovsky
We consider minisuperspace gravity system described by piecewise flat metric discontinuous on three-dimensional faces (tetrahedra). There are infinite terms in the Einstein action.…
Barbero-Immirzi parameter in Regge calculus
V. M. Khatsymovsky
We consider Regge calculus in the representation in terms of area tensors and self- and antiselfdual connections generalised to the case of Holst action that is standard Einstein a…
On positivity of quantum measure and of effective action in area tensor Regge calculus
V. M. Khatsymovsky
Because of unboundedness of the general relativity action, Euclidean version of the path integral in general relativity requires definition. Area tensor Regge calculus is considere…
On the possibility of finite quantum Regge calculus
V. M. Khatsymovsky
The arguments were given in a number of our papers that the discrete quantum gravity based on the Regge calculus possesses nonzero vacuum expectation values of the triangulation le…