Theory of self-resonance after inflation. I. Adiabatic and isocurvature Goldstone modes
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PhysRevD.90.123528.pdf
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2.49 MB
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Author(s)
Karouby, Johanna
Spitzer, William G.
Becerra, Juana C.
Li, Lanqing
Hertzberg, Mark Peter
Date Issued
December 2014
Journal
Physical Review D
Publisher
American Physical Society
Citation
Hertzberg, Mark P., Johanna Karouby, William G. Spitzer, Juana C. Becerra, and Lanqing Li. "Theory of self-resonance after inflation. I. Adiabatic and isocurvature Goldstone modes." Phys. Rev. D 90, 123528 (December 2014). © 2014 American Physical Society
Version
Final published version
Abstract
We develop a theory of self-resonance after inflation. We study a large class of models involving multiple scalar fields with an internal symmetry. For illustration, we often specialize to dimension-four potentials, but we derive results for general potentials. This is the first part of a two part series of papers. Here in Part 1 we especially focus on the behavior of long-wavelength modes, which are found to govern most of the important physics. Since the inflaton background spontaneously breaks the time-translation symmetry and the internal symmetry, we obtain Goldstone modes; these are the adiabatic and isocurvature modes. We find general conditions on the potential for when a large instability band exists for these modes at long wavelengths. For the adiabatic mode, this is determined by a sound speed derived from the time-averaged potential, while for the isocurvature mode, this is determined by a speed derived from a time-averaged auxiliary potential. Interestingly, we find that this instability band usually exists for one of these classes of modes, rather than both simultaneously. We focus on backgrounds that evolve radially in field space, as set up by inflation, and also mention circular orbits, as relevant to Q-balls. In Part 2 [M. P. Hertzberg et al., Phys. Rev. D 90, 123529 (2014)] we derive the central behavior from the underlying description of many-particle quantum mechanics, and introduce a weak breaking of the symmetry to study corrections to particle-antiparticle production from preheating.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.90.123528
