相关论文: Functional integration for Regge gravity

We adopt the standard definition of diffeomorphism for Regge gravity in D=2 and give an exact expression of the Liouville action in the discretized case. We also give the exact form of the integration measure for the conformal factor. In…

By restricting the functional integration to the Regge geometries, we give the discretized version of the well known path integral formulation of 2--dimensional quantum gravity in the conformal gauge. We analyze the role played by…

We describe a new approach to the notion of general hypergeometric functions

This paper is devoted for the study of a new generalization of Struve function type. In this paper , We establish four new integral formulas involving the Galue type Struve function, which are express in term of the generalized (Wright)…

This review article brings forth some recent results in the theory of the Riemann zeta-function $qzeta(s)$.

A summary of new experimental results and recent theoretical developments presented in the ``Spin Physics'' working group is given.

A sketch of a recent approach to quantum gravity is presented which involves several unconventional aspects. The basic ingredients include: (1) Affine kinematical variables; (2) Affine coherent states; (3) Projection operator approach for…

In this short note we briefly review some recent mathematical results relevant to the classical Regge Calculus evolution problem.

We apply our method of indirect integration, described in Part I, at fourth order, to the radial fall affected by the self-force. The Mode-Sum regularisation is performed in the Regge-Wheeler gauge using the equivalence with the harmonic…

We find that sometimes the usual definition of functional integration over the gauge group through limiting process may have internal difficulties.

The functional integral measure in the 4D Regge calculus normalised w.r.t. the DeWitt supermetric on the space of metrics is considered. The Faddeev-Popov factor in the measure is shown according to the previous author's work on the…

We review recent progress in gauging maximal supergravity theories

We examine the phase structure of pure Regge gravity in four dimensions and compare our Monte Carlo results with $Z_2$-link Regge-theory as well as with another formulation of lattice gravity derived from group theoretical considerations.…

We consider several possible approaches to evaluating an integral involving the digamma function and a related logarithmic series.

Our purpose in this present paper is to investigate generalized integration formulas containing the extended generalized hypergeometric function and obtained results are expressed in terms of extended hypergeometric function. Certain…

This note contains a short proof of the functional equation for the zeta function.

By adopting the standard definition of diffeomorphisms for a Regge surface we give an exact expression of the Liouville action both for the sphere and the torus topology in the discretized case. The results are obtained in a general way by…

We review recent progress in constructing maximal, classical supergravity models and their applications.

The symmetries of Unimodular Gravity are clarified somewhat.

We argue that the definition of the partition function used recently to demonstrate the failure of Regge calculus is wrong. In fact, in the one-dimensional case, we show that there is a more natural definition, with which one can reproduce…