Calculation of Particle Production by Nambu Goldstone Bosons with Application to Inflation Reheating and Baryogenesis

117259 Russia.); 2); Alexandre Dolgov (1; Katherine Freese(1) ((1)Physics Department; MI 48109; Moscow; University of Michigan Ann Arbor; USA; (2) Permanent Address: ITEP

Calculation of Particle Production by Nambu Goldstone Bosons with Application to Inflation Reheating and Baryogenesis

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arxiv hep-ph/9410346 v1 pith:YFLH3MP4 submitted 1994-10-22 hep-ph astro-phhep-th

Calculation of Particle Production by Nambu Goldstone Bosons with Application to Inflation Reheating and Baryogenesis

Alexandre Dolgov (1 , 2) , Katherine Freese(1) ((1)Physics Department , University of Michigan Ann Arbor , MI 48109 , USA; (2) Permanent Address: ITEP , Moscow , 117259 Russia.) This is my paper

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A semiclassical calculation of particle production by a scalar field in a potential is performed. We focus on the particular case of production of fermions by a Nambu-Goldstone boson $\theta$. We have derived a (non)local equation of motion for the $\theta$-field with the backreaction of the produced particles taken into account. The equation is solved in some special cases, namely for purely Nambu-Goldstone bosons and for the tilted potential $ U(\theta ) \propto m^2 \theta^2 $. Enhanced production of bosons due to parametric resonance is investigated; we argue that the resonance probably disappears when the expansion of the universe is included. Application of our work on particle production to reheating and an idea for baryogenesis in inflation are mentioned.

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