Noether symmetry approach in multiple scalar fields scenario

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Abstract

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.

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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. https://doi.org/10.1016/j.physletb.2010.03.071

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