Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-22
JHEP 1102:024,2011
Physics
High Energy Physics
High Energy Physics - Theory
1+26 pages, 7 figures. v2 refs added
Scientific paper
10.1007/JHEP02(2011)024
We study the distribution of graded degrees of freedom in classically stable oriented closed string vacua and use the Rankin-Selberg transform to link it to the finite one-loop vacuum energy. In particular, we find that the spectrum of physical excitations not only must enjoy asymptotic supersymmetry but actually, at very large mass, bosonic and fermionic states must follow a universal oscillating pattern, whose frequencies are related to the zeros of the Riemann zeta-function. Moreover, the convergence rate of the overall number of the graded degrees of freedom to the value of the vacuum energy is determined by the Riemann hypothesis. We discuss also attempts to obtain constraints in the case of tachyon-free open-string theories.
Angelantonj Carlo
Cardella Matteo
Elitzur Shmuel
Rabinovici Eliezer
No associations
LandOfFree
Vacuum stability, string density of states and the Riemann zeta function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Vacuum stability, string density of states and the Riemann zeta function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vacuum stability, string density of states and the Riemann zeta function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-295707