Attractive Lagrangians for Noncanonical Inflation

Details Attractive Lagrangians for Noncanonical Inflation Attractive Lagrangians for Noncanonical Inflation

2009-12-10

arxiv.org/abs/0912.1857v3

Phys. Rev. D 81, 123526 (2010)

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 9 figures. v2. Fixed typos, added reference, small changes to examples; v3. Added discussion of field redefinitions,

Scientific paper

10.1103/PhysRevD.81.123526

Treating inflation as an effective theory, we expect the effective Lagrangian to contain higher-dimensional kinetic operators suppressed by the scale of UV physics. When these operators are powers of the inflaton kinetic energy, the scalar field can support a period of noncanonical inflation which is smoothly connected to the usual slow-roll inflation. We show how to construct noncanonical inflationary solutions to the equations of motion for the first time, and demonstrate that noncanonical inflation is an attractor in phase space for all small- and large-field models. We identify some sufficient conditions on the functional form of the Lagrangian that lead to successful noncanonical inflation since not every Lagrangian with higher-dimensional kinetic operators can support noncanonical inflation. This extends the class of known viable Lagrangians and excludes many Lagrangians which do not work.

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