Noether symmetry approach in multiple scalar fields scenario

Citations of this article
Mendeley users who have this article in their library.


In this Letter, we find suitable potentials in the multiple scalar fields scenario by using the Noether symmetry approach. We discussed three models with multiple scalar fields: N-quintessence with positive kinetic terms, N-phantom with negative kinetic terms and N-quintom with both positive and negative kinetic terms. In the N-quintessence case, the exponential potential which could be derived from several theoretic models is obtained from the Noether conditions. In the N-phantom case, the potential frac(V0, 2) (1 - cos (sqrt(frac(3 N, 2)) frac(φ{symbol}, mp l))), which could be derived from the Pseudo Nambu-Goldstone boson model, is chosen as the Noether conditions required. In the N-quintom case, we derive a relation D Vφ{symbol} q′ = - over(D, ̃) Vφ{symbol} p′ between the potential forms for the quintessence-like fields and the phantom-like fields by using the Noether symmetry. © 2010 Elsevier B.V. All rights reserved.




Zhang, Y., Gong, Y. G., & Zhu, Z. H. (2010). Noether symmetry approach in multiple scalar fields scenario. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 688(1), 13–20.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free