302 research outputs found
Recommendations for the Use of Pencillin in the Treatment of Bovine Mastitis
Studies on the use of penicillin in the treatment of mastitis are not yet complete. The results obtained to date are sufficiently encouraging, however, to warrant a preliminary statement regarding dosage and method of administration, although research still in progress may later result in minor changes in these recommendations
Dimensional regularization of the path integral in curved space on an infinite time interval
We use dimensional regularization to evaluate quantum mechanical path
integrals in arbitrary curved spaces on an infinite time interval. We perform
3-loop calculations in Riemann normal coordinates, and 2-loop calculations in
general coordinates. It is shown that one only needs a covariant two-loop
counterterm (V_{DR} = R/8) to obtain the same results as obtained earlier in
other regularization schemes. It is also shown that the mass term needed in
order to avoid infrared divergences explicitly breaks general covariance in the
final result.Comment: 13 pages, 10 figures, LaTe
Dimensional regularization of nonlinear sigma models on a finite time interval
We extend dimensional regularization to the case of compact spaces. Contrary
to previous regularization schemes employed for nonlinear sigma models on a
finite time interval (``quantum mechanical path integrals in curved space'')
dimensional regularization requires only a covariant finite two-loop
counterterm. This counterterm is nonvanishing and given by R/8.Comment: 9 pages, 7 figures, LaTeX, minor changes in text and reference
Alpha-states in de Sitter space
Field theory in de Sitter space admits a one-parameter family of vacua
determined by a superselection parameter alpha. Of these vacua, the Euclidean
vacuum uniquely extrapolates to the vacuum of flat Minkowski space. States
which resemble the alpha-vacua can be constructed as excitations above the
Euclidean vacuum. Such states have modes alpha(k) which decay faster that
k^{(1-d)/2}. Fields in such states exhibit non-local correlations when examined
from the perspective of fields in the Euclidean vacuum. The dynamics of such
entangled states are fully consistent. If an alpha-state with properties that
interpolate between an alpha-vacuum and the Euclidean vacuum were the initial
condition for inflation, a signature for this may be found in a momentum
dependent correction to the inflationary power spectrum. The functional
formalism, which provides the tool for examining physics in an alpha-state,
extends to fields of other spin. In particular, the extension to spin-2 may
proffer a new class of infrared modifications to gravitational interactions.
The implications of superselection sectors for the landscape of string vacua
are briefly discussed.Comment: 28 pages, LaTe
Decoupling in an expanding universe: boundary RG-flow affects initial conditions for inflation
We study decoupling in FRW spacetimes, emphasizing a Lagrangian description
throughout. To account for the vacuum choice ambiguity in cosmological
settings, we introduce an arbitrary boundary action representing the initial
conditions. RG flow in these spacetimes naturally affects the boundary
interactions. As a consequence the boundary conditions are sensitive to
high-energy physics through irrelevant terms in the boundary action. Using
scalar field theory as an example, we derive the leading dimension four
irrelevant boundary operators. We discuss how the known vacuum choices, e.g.
the Bunch-Davies vacuum, appear in the Lagrangian description and square with
decoupling. For all choices of boundary conditions encoded by relevant boundary
operators, of which the known ones are a subset, backreaction is under control.
All, moreover, will generically feel the influence of high-energy physics
through irrelevant (dimension four) boundary corrections. Having established a
coherent effective field theory framework including the vacuum choice
ambiguity, we derive an explicit expression for the power spectrum of
inflationary density perturbations including the leading high energy
corrections. In accordance with the dimensionality of the leading irrelevant
operators, the effect of high energy physics is linearly proportional to the
Hubble radius H and the scale of new physics L= 1/M.Comment: LaTeX plus axodraw figures. v2: minor corrections; refs added. JHEP
style: 34 pages + 18 pages appendi
Lattice potentials and fermions in holographic non Fermi-liquids: hybridizing local quantum criticality
We study lattice effects in strongly coupled systems of fermions at a finite
density described by a holographic dual consisting of fermions in
Anti-de-Sitter space in the presence of a Reissner-Nordstrom black hole. The
lattice effect is encoded by a periodic modulation of the chemical potential
with a wavelength of order of the intrinsic length scales of the system. This
corresponds with a highly complicated "band structure" problem in AdS, which we
only manage to solve in the weak potential limit. The "domain wall" fermions in
AdS encoding for the Fermi surfaces in the boundary field theory diffract as
usually against the periodic lattice, giving rise to band gaps. However, the
deep infrared of the field theory as encoded by the near horizon AdS2 geometry
in the bulk reacts in a surprising way to the weak potential. The hybridization
of the fermions bulk dualizes into a linear combination of CFT1 "local quantum
critical" propagators in the bulk, characterized by momentum dependent
exponents displaced by lattice Umklapp vectors. This has the consequence that
the metals showing quasi-Fermi surfaces cannot be localized in band insulators.
In the AdS2 metal regime, where the conformal dimension of the fermionic
operator is large and no Fermi surfaces are present at low T/\mu, the lattice
gives rise to a characteristic dependence of the energy scaling as a function
of momentum. We predict crossovers from a high energy standard momentum AdS2
scaling to a low energy regime where exponents found associated with momenta
"backscattered" to a lower Brillioun zone in the extended zone scheme. We
comment on how these findings can be used as a unique fingerprint for the
detection of AdS2 like "pseudogap metals" in the laboratory.Comment: 42 pages, 5 figures; v2, minor correction, to appear in JHE
Black hole determinants and quasinormal modes
We derive an expression for functional determinants in thermal spacetimes as
a product over the corresponding quasinormal modes. As simple applications we
give efficient computations of scalar determinants in thermal AdS, BTZ black
hole and de Sitter spacetimes. We emphasize the conceptual utility of our
formula for discussing `1/N' corrections to strongly coupled field theories via
the holographic correspondence.Comment: 28 pages. v2: slightly improved exposition, references adde
Warped Reheating in Multi-Throat Brane Inflation
We investigate in some quantitative details the viability of reheating in
multi-throat brane inflationary scenarios by estimating and comparing the time
scales for the various processes involved. We also calculate within
perturbative string theory the decay rate of excited closed strings into KK
modes and compare with that of their decay into gravitons; we find that in the
inflationary throat the former is preferred. We also find that over a small but
reasonable range of parameters of the background geometry, these KK modes will
preferably tunnel to another throat (possibly containing the Standard Model)
instead of decaying to gravitons due largely to their suppressed coupling to
the bulk gravitons. Once tunneled, the same suppressed coupling to the
gravitons again allows them to reheat the Standard Model efficiently. We also
consider the effects of adding more throats to the system and find that for
extra throats with small warping, reheating still seems viable.Comment: 29 pages, 4 figures, discussions on closed string decay expanded,
references adde
Exact spectrum of scalar field perturbations in a radiation deformed closed de Sitter universe
We observe that the equation of motion for a free scalar field in a closed
universe with radiation and a positive cosmological constant is given by
Lam\'e's equation. Computing the exact power spectrum of scalar field
perturbations, the presence of both curvature and radiation produces a red tilt
weakly dependent on the amount of radiation.Comment: 16 pages, 2 figure
Observational Signatures and Non-Gaussianities of General Single Field Inflation
We perform a general study of primordial scalar non-Gaussianities in single
field inflationary models in Einstein gravity. We consider models where the
inflaton Lagrangian is an arbitrary function of the scalar field and its first
derivative, and the sound speed is arbitrary. We find that under reasonable
assumptions, the non-Gaussianity is completely determined by 5 parameters. In
special limits of the parameter space, one finds distinctive ``shapes'' of the
non-Gaussianity. In models with a small sound speed, several of these shapes
would become potentially observable in the near future. Different limits of our
formulae recover various previously known results.Comment: 53 pages, 5 figures; v3, minor revision, JCAP version; v4, numerical
coefficients corrected in Appendix B, discussion on consistency condition
revise
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