Effective field theory of degenerate higher-order inflation

Effective Field Theory for Inflation

The methods of effective field theory are used to study generic theories of inflation with a single inflaton field. For scalar modes, the leading corrections to the R correlation function are found to be purely of the k-inflation type. For tensor modes the leading corrections to the correlation function arise from terms in the action that are quadratic in the curvature, including a parity-viola...

Higher Order Invariants of Levi Degenerate Hypersurfaces

The first part of this paper considers higher order CR invariants of three dimensional hypersurfaces of finite type. Using a full normal form we give a complete characterization of hypersurfaces with trivial local automorphism group, and analogous results for finite groups. The second part considers hypersurfaces of finite Catlin multitype, and the Kohn-Nirenberg phenomenon in higher dimensions...

Effective Field Theories for Inflation

Higher order corrections to bound state energy levels in QED: an effective field theory approach

In [1], a new method was developed to calculate energy levels in QED nonrelativistic bound states, up to order mα5 (or α3 with respect to the Bohr levels). Whether or not this method could be used beyond this order was left as an open question. In this paper, we answer this question with the help of a nonrelativistic effective field theory, NRQED. This theory permits to deal separately with bou...

Effective Field Theory Description of the Higher DimensionalQuantum Hall Liquid

We derive an effective topological field theory model of the four dimensional quantum Hall liquid state recently constructed by Zhang and Hu. Using a generalization of the flux attachment transformation, the effective field theory can be formulated as a U (1) Chern–Simons theory over the total configuration space C P3, or as a SU (2) Chern–Simons theory over S4. The new quantum Hall liquid supp...