How many -folds should we expect from high-scale inflation?
- California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
In this study, we address the issue of how many -folds we would naturally expect if inflation occurred at an energy scale of order . We use the canonical measure on trajectories in classical phase space, specialized to the case of flat universes with a single scalar field. While there is no exact analytic expression for the measure, we are able to derive conditions that determine its behavior. For a quadratic potential with and cutoff at , we find an expectation value of -folds on the set of Friedmann-Robertson-Walker trajectories. For cosine inflation with , we find that the expected total number of -folds is 50, which would just satisfy the observed requirements of our own Universe; if is larger, more than 50 -folds are generically attained. Finally, we conclude that one should expect a large amount of inflation in large-field models and more limited inflation in small-field (hilltop) scenarios.
- Research Organization:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Betty Moore Foundation
- Grant/Contract Number:
- SC0011632; DGE-1144469; 776
- OSTI ID:
- 1596472
- Alternate ID(s):
- OSTI ID: 1180062
- Journal Information:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 90, Issue 6; ISSN 1550-7998
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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