Hindawi Publishing Corporation Advances in High Energy Physics Volume 2015, Article ID 278502, 3 pages http://dx.doi.org/10.1155/2015/278502 Research Article Is the Free Vacuum Energy Infinite? H. Razmi and S. M. Shirazi Department of Physics, The University of Qom, Qom 3716146611, Iran Correspondence should be addressed to H. Razmi;
[email protected] Received 12 February 2015; Revised 14 April 2015; Accepted 16 April 2015 Academic Editor: Chao-Qiang Geng Copyright © 2015 H. Razmi and S. M. Shirazi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3. Considering the fundamental cutoff applied by the uncertainty relations’ limit on virtual particles’ frequency in the quantum vacuum, it is shown that the vacuum energy density is proportional to the inverse of the fourth power of the dimensional distance of the space under consideration and thus the corresponding vacuum energy automatically regularized to zero value for an infinitely large free space. This can be used in regularizing a number of unwanted infinities that happen in the Casimir effect, the cosmological constant problem, and so on without using already known mathematical (not so reasonable) techniques and tricks. 1. Introduction 2. The Quantum Vacuum, Virtual Particles, and the Uncertainty Relations In the standard quantum field theory, not only does the vacuum (zero-point) energy have an absolute infinite value, The quantum vacuum is not really empty. It is filled with but also all the real excited states have such an irregular value; virtual particles which are in a continuous state of fluctuation.