18 citations · 118 across the 31 of their papers we have counts for
31 papers
Continuous measurement on a causal set with and without a boundary
Roman Sverdlov
The purpose of this paper is two-fold. First, we would like to get rid of common assumption that causal set is bounded and attempt to model its scalar field action under the assump…
Surfaces and hypersurfaces as the joint spectrum of matrices
Patrick H. DeBonis, Terry A. Loring, Roman Sverdlov
The Clifford spectrum is an elegant way to define the joint spectrum of several Hermitian operators. While it has been know that for examples as small as three -by- matrices…
The use of test functions to help define quadratic Lagrangian on a causal set
Roman Sverdlov
In some other papers, the Lagrangians in the causal sets included coefficients that were to be computed by integrating over Alexandrov set. In those other papers, this integral was…
Restoring locality of scalar fields on a causal set by avoiding the use of d'Alembertians
Roman Sverdlov
In this paper we address the non-locality issue of quantum field theory on a causal set by rewriting it in such a way that avoids the use of d'Alembertian. We do that by replacing…
Electromagnetic Lagrangian on a causal set that resides on edges rather than points
Roman Sverdlov
The goal of this paper is to introduce one of the versions of the electromagnetic Lagrangian on a causal set in such a way that would address the non-locality issues inherent to ca…
Expressing QFT in terms of QM with single extra dimension and classical hidden variable field
Roman Sverdlov
The goal of this paper is to re-express QFT in terms of two "classical" fields living in ordinary space with single extra dimension. The role of the first classical field is to set…