Year: 2024
Type: article
Abstract: A bstract The form-factor bootstrap is incomplete until one normalizes the zero-particle form factor. For the stress energy tensor we describe how to obtain the vacuum energy density ρ vac , defined as 〈0| T μν |0〉 = ρ vac g μν , from the form-factor bootstrap. Even for integrable QFT’s in D=2 spacetime dimensions, this prescription is new, although it reproduces previously known results obtained in a different and more difficult thermodynamic Bethe ansatz computation. We propose a version of this prescription in D=4 dimensions. For these even dimensions, the vacuum energy density has the universal form $$ {\rho}_{\textrm{vac}}\propto {m}^D/\mathfrak{g} $$ ρ vac ∝ m D / g where $$ \mathfrak{g} $$ g is a dimensionless interaction coupling constant which can be determined from the high energy behavior of the S-matrix. In the limit $$ \mathfrak{g}\to 0 $$ g → 0 , ρ vac diverges due to well understood UV divergences in free quantum field theories. If we assume the observed Cosmological Constant originates from the vacuum energy density ρ vac computed as proposed here, then this suggests there must exist a particle which does not obtain its mass from spontaneous symmetry breaking in the electro-weak sector, which we designate as the “zeron”. A strong candidate for the zeron is a massive Majorana neutrino.
Source: Journal of High Energy Physics
Author: André LeClair
Institution: Cornell University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405984510