18 citations · 118 across the 31 of their papers we have counts for
13 papers · 1 filter
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…
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…
Causal set as a discretized phase spacetime
Roman Sverdlov
The first goal of this paper is to show that discreteness, locality, and relativistic covariance can peacefully coexist if the ordinary spacetime (OST) is replaced with phase space…
A use of geometric calculus to reduce Berezin integral to the limit of a Riemann sum
Thomas Scanlon, Roman Sverdlov
Berezin integration of functions of anticommuting Grassmann variables is usually seen as a formal operation, sometimes even defined via differentiation. Using the formalism of geom…
Ph.D. Thesis: Quantum Field Theory and Gravity in Causal Sets
Roman Sverdlov
This is is a copy of dissertation that I have submitted in defense of my ph.d. thesis, with some minor changes that I have made since then. The goal of the project is to generalize…
Dynamics for causal sets with matter fields: A Lagrangian-based approach
Roman Sverdlov, Luca Bombelli
We present a framework for the dynamics of causal sets and coupled matter fields, which is a simplification and generalization of an approach we recently proposed. Given a set of f…
Quantum mechanics and gravity as preclusion principles of four dimensional geometries
Roman Sverdlov
The goal of this paper is to employ a "preclusion principle" originally suggested by Rafael Sorkin in order to come up with a relativistically covariant model of quantum mechanics…
Spinor fields in Causal Set Theory
Roman Sverdlov
The goal of this paper is to define fermionic fields on causal set. This is done by the use of holonomies to define vierbines, and then defining spinor fields by taking advantage o…
Novel definition of Grassmann numbers and spinor fields
Roman Sverdlov
The goal of this paper is to define fermionic field in terms of non-orthonormal vierbeins, where fluctuations away from orthonormality are viewed as fermionic field. Furthermore, G…
Gauge Fields in Causal Set Theory
Roman Sverdlov
This is the second paper in a series on the dynamics of matter fields in the causal set approach to quantum gravity. We start with the usual expression for the Lagrangian of a char…
A Geometrical Description of Spinor Fields
Roman Sverdlov
The goal of this paper is to present the way to define fermionic fields and their Lagrangians in terms of three orthogonal vector fields of norm 1 together with two real valued sca…
Gravity and Matter in Causal Set Theory
Roman Sverdlov, Luca Bombelli
The goal of this paper is to propose an approach to the formulation of dynamics for causal sets and coupled matter fields. We start from the continuum version of the action for a K…