Vacuum Energy Problem, Fundamental Length and Deformed Quantum Field Theory

TL;DR

This paper explores how quantum theories with a fundamental length scale, using generalized uncertainty principles and deformed density matrices, can address the cosmological constant problem, aligning theoretical vacuum energy estimates with observations.

Contribution

It demonstrates that incorporating a fundamental length and holographic principles can reconcile vacuum energy density with experimental values.

Findings

Deformed density matrix approach aligns vacuum energy with observations.

Holographic conjecture supports the validity of the approach.

Fundamental length considerations impact the cosmological constant problem.

Abstract

The cosmological constant (vacuum energy) problem is analyzed within the scope of quantum theories with UV-cut-off or fundamental length. Various cases associated with the appearance of the latter are considered both using the Generalized Uncertainty Relations and the deformed density matrix,previously introduced in the author's works. The use of the deformed density matrix is examined in detail. It is demonstrated that, provided the Fischler-Susskind cosmic holographic conjecture is valid, the Vacuum Energy Density takes a value close to the experimental one. The arguments supporting the validity of this conjecture are given on the basis of the recently obtained results on Gravitational Holography.