I have a puzzle when I study the hybrid inflation model.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose we have two scalar fields, [itex]\phi_1 and \phi_2[/itex]

first, lets consider the situation where they are in their independent potentials

[itex]V(\phi_i)=m_i^2\phi_i^2, i = 1,2[/itex]

with initial value

[itex]\phi_i^{ini}[/itex]

We can solve the scalar dynamic equations for them. And they are both in harmonic oscillation. This is Okay.

But when a 'mixing term' [itex]\lambda^2 \phi_1\phi_2[/itex] is introduced, [itex]\phi_1[/itex] and [itex]\phi_2[/itex] get infinite values, if \lambda is large. This can be showed numerically. What I thought is the large mixing term would lead to [itex]\phi_1 = \phi_2[/itex]. So why it goes to infinite?

And we can rotate [itex]\phi_1[/itex] and [itex]\phi_2[/itex] to a basis where there is no mixing term. In this basis, we would not get infinite values for [itex]\phi_1[/itex] or [itex]\phi_2[/itex]. So it seems I get a different result working in different basis. What is the problem

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A puzzle of two scalar dynamics

Loading...

Similar Threads for puzzle scalar dynamics |
---|

B Speed of light puzzle |

B Current values for Friedman's scalar and its derivative? |

I Dynamical dark energy |

I Experimental bound on the scalar spectral index |

**Physics Forums | Science Articles, Homework Help, Discussion**