192,674 research outputs found
Strongly Coupled Inflaton
We continue to investigate properties of the strongly coupled inflaton in a
setup introduced in arXiv:0807.3191 through the AdS/CFT correspondence. These
properties are qualitatively different from those in conventional inflationary
models. For example, in slow-roll inflation, the inflaton velocity is not
determined by the shape of potential; the fine-tuning problem concerns the dual
infrared geometry instead of the potential; the non-Gaussianities such as the
local form can naturally become large.Comment: 12 pages; v3, minor revision, comments and reference added, JCAP
versio
Non-universal critical Casimir force in confined He near the superfluid transition
We present the results of a one-loop calculation of the effect of a van der
Waals type interaction potential on the critical
Casimir force and specific heat of confined He near the superfluid
transition. We consider a He film of thickness . In the region (correlation length) we find that the van der Waals interaction
causes a leading non-universal non-scaling contribution of to the critical temperature dependence of the Casimir force
above that dominates the universal scaling contribution predicted by earlier theories. For the specific heat we find subleading
non-scaling contributions of and .Comment: 2 pages, submitted to LT23 Proceedings on June 14, 2002, accepted for
publication in Physica B on September 12, 200
Violation of Finite-Size Scaling in Three Dimensions
We reexamine the range of validity of finite-size scaling in the
lattice model and the field theory below four dimensions. We show that
general renormalization-group arguments based on the renormalizability of the
theory do not rule out the possibility of a violation of finite-size
scaling due to a finite lattice constant and a finite cutoff. For a confined
geometry of linear size with periodic boundary conditions we analyze the
approach towards bulk critical behavior as at fixed for where is the bulk correlation length. We show that for this
analysis ordinary renormalized perturbation theory is sufficient. On the basis
of one-loop results and of exact results in the spherical limit we find that
finite-size scaling is violated for both the lattice model and the
field theory in the region . The non-scaling effects in the
field theory and in the lattice model differ significantly from each other.Comment: LaTex, 51 page
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