https://doi.org/10.1140/epjc/s10052-014-2920-5
Regular Article - Theoretical Physics
Power spectrum with auxiliary fields in de Sitter space
1
Department of Physics, Qom Branch, Islamic Azad University, Qom, Iran
2
Department of Physics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
3
Department of Physics, Science and Research Ayatollah Amoli Branch, Islamic Azad University, Amol, Mazandaran, Iran
* e-mail: mohsenzadeh@qom-iau.ac.ir
Received:
23
August
2013
Accepted:
14
May
2014
Published online:
3
June
2014
We use the auxiliary fields and (excited-) de Sitter solutions to study the standard power spectrum of primordial fluctuations of a scalar field in the early universe. The auxiliary fields are the negative norm solutions of the field equation and as is shown, with a fixed boundary condition, utilizing these states results in a finite power spectrum without any infinity. The power spectrum is determined by the de Sitter solutions up to some corrections and the space-time symmetry is not broken in this point of view. The modulation to the power spectrum is of order , where
is the Hubble parameter and
is the energy scale, e.g., the Planck scale.
© SIF and Springer-Verlag Berlin Heidelberg, 2014