313 research outputs found
Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda
This paper studies the cosmological equations for a scalar field Phi in the
framework of a quantum gravity modified Einstein--Hilbert Lagrangian where G
and Lambda are dynamical variables. It is possible to show that there exists a
Noether symmetry for the point Lagrangian describing this scheme in a FRW
universe. Our main result is that the Noether Symmetry Approach fixes both
Lambda = Lambda(G) and the potential V = V(Phi) of the scalar field. The method
does not lead, however, to easily solvable equations, by virtue of the higher
dimensionality of the reduced configuration space involved, the additional
variable being the running Newton coupling.Comment: 10 pages, Revtex
Noncompact sigma-models: Large N expansion and thermodynamic limit
Noncompact SO(1,N) sigma-models are studied in terms of their large N
expansion in a lattice formulation in dimensions d \geq 2. Explicit results for
the spin and current two-point functions as well as for the Binder cumulant are
presented to next to leading order on a finite lattice. The dynamically
generated gap is negative and serves as a coupling-dependent infrared regulator
which vanishes in the limit of infinite lattice size. The cancellation of
infrared divergences in invariant correlation functions in this limit is
nontrivial and is in d=2 demonstrated by explicit computation for the above
quantities. For the Binder cumulant the thermodynamic limit is finite and is
given by 2/(N+1) in the order considered. Monte Carlo simulations suggest that
the remainder is small or zero. The potential implications for ``criticality''
and ``triviality'' of the theories in the SO(1,N) invariant sector are
discussed.Comment: 46 pages, 2 figure
A Scaling Hypothesis for the Spectral Densities in the O(3) Nonlinear Sigma-Model
A scaling hypothesis for the n-particle spectral densities of the O(3)
nonlinear sigma-model is described. It states that for large particle numbers
the n-particle spectral densities are ``self-similar'' in being basically
rescaled copies of a universal shape function. This can be viewed as a
2-dimensional, but non-perturbative analogue of the KNO scaling in QCD.
Promoted to a working hypothesis, it allows one to compute the two point
functions at ``all'' energy or length scales. In addition, the values of two
non-perturbative constants (needed for a parameter-free matching of the
perturbative and the non-perturbative regime) are determined exactly.Comment: 9 Pages, Latex, 3 Postscript Figure
Spherically symmetric ADM gravity with variable G and Lambda(c)
This paper investigates the Arnowitt--Deser--Misner (hereafter ADM) form of
spherically symmetric gravity with variable Newton parameter G and cosmological
term Lambda(c). The Newton parameter is here treated as a dynamical variable,
rather than being merely an external parameter as in previous work on closely
related topics. The resulting Hamilton equations are obtained; interestingly, a
static solution exists, that reduces to Schwarzschild geometry in the limit of
constant G, describing a Newton parameter ruled by a nonlinear differential
equation in the radial variable r. A remarkable limiting case is the one for
which the Newton parameter obeys an almost linear growth law at large r. An
exact solution for G as a function of r is also obtained in the case of
vanishing cosmological constant. Some observational implications of these
solutions are obtained and briefly discussed.Comment: 16 pages, 2 figures. The presentation has been improved in all
section
Quasinormal modes for asymptotic safe black holes
Under the hypothesis of asymptotic safety of gravity, the static, spherically
symmetric black hole solutions in the infrared limit are corrected by
non-perturbative effects. Specifically, the metric is modified by the running
of gravitational couplings. In this work, we investigate the effects of this
correction to the quasinormal modes (QNMs) of a test scalar field propagating
in this kind of black hole background analytically and numerically. It is found
that although the quasi-period frequencies and the damping of oscillations are
respectively enhanced and weakened by the quantum correction term, the
stability of the black hole remains.Comment: 11 pages, 1 figures, accepted for publication in CQG. arXiv admin
note: text overlap with arXiv:1007.131
Quark contact interactions at the LHC
Quark contact interactions are an important signal of new physics. We
introduce a model in which the presence of a symmetry protects these new
interactions from giving large corrections in flavor changing processes at low
energies. This minimal model provides the basic set of operators which must be
considered to contribute to the high-energy processes. To discuss their
experimental signature in jet pairs produced in proton-proton colllisions, we
simplify the number of possible operators down to two. We show (for a
representative integrated luminosity of 200 pb^-1 at \surd s = 7 TeV) how the
presence of two operators significantly modifies the bound on the
characteristic energy scale of the contact interactions which is obtained by
keeping a single operator.Comment: 8 pages, 2 figure
Renormalization Flow of Axion Electrodynamics
We study the renormalization flow of axion electrodynamics, concentrating on
the non-perturbative running of the axion-photon coupling and the mass of the
axion (like) particle. Due to a non-renormalization property of the
axion-photon vertex, the renormalization flow is controlled by photon and axion
anomalous dimensions. As a consequence, momentum-independent axion
self-interactions are not induced by photon fluctuations. The non-perturbative
flow towards the ultraviolet exhibits a Landau-pole-type behavior, implying
that the system has a scale of maximum UV extension and that the renormalized
axion-photon coupling in the deep infrared is bounded from above. Even though
gauge invariance guarantees that photon fluctuations do not decouple in the
infrared, the renormalized couplings remain finite even in the deep infrared
and even for massless axions. Within our truncation, we also observe the
existence of an exceptional RG trajectory, which is extendable to arbitrarily
high scales, without being governed by a UV fixed point.Comment: 12 pages, 4 figure
The Intrinsic Coupling in Integrable Quantum Field Theories
The intrinsic 4-point coupling, defined in terms of a truncated 4-point
function at zero momentum, provides a well-established measure for the
interaction strength of a QFT. We show that this coupling can be computed
non-perturbatively and to high accuracy from the form factors of an
(integrable) QFT. The technique is illustrated and tested with the Ising model,
the XY-model and the O(3) nonlinear sigma-model. The results are compared to
those from high precision lattice simulations.Comment: 69 pages, Late
An effective action for asymptotically safe gravity
Asymptotically safe theories of gravitation have received great attention in
recent times. In this framework an effective action embodying the basic
features of the renormalized flow around the non-gaussian fixed point is
derived and its implications for the early universe are discussed. In
particular, a "landscape" of a countably infinite number of cosmological
inflationary solutions characterized by an unstable de Sitter phase lasting for
a large enough number of e-folds is found.Comment: 5 pages, to appear as a Rapid Communication in Physical Review
Vacuum orbit and spontaneous symmetry breaking in hyperbolic sigma models
We present a detailed study of quantized noncompact, nonlinear SO(1,N)
sigma-models in arbitrary space-time dimensions D \geq 2, with the focus on
issues of spontaneous symmetry breaking of boost and rotation elements of the
symmetry group. The models are defined on a lattice both in terms of a transfer
matrix and by an appropriately gauge-fixed Euclidean functional integral. The
main results in all dimensions \geq 2 are: (i) On a finite lattice the systems
have infinitely many nonnormalizable ground states transforming irreducibly
under a nontrivial representation of SO(1,N); (ii) the SO(1,N) symmetry is
spontaneously broken. For D =2 this shows that the systems evade the
Mermin-Wagner theorem. In this case in addition: (iii) Ward identities for the
Noether currents are derived to verify numerically the absence of explicit
symmetry breaking; (iv) numerical results are presented for the two-point
functions of the spin field and the Noether current as well as a new order
parameter; (v) in a large N saddle-point analysis the dynamically generated
squared mass is found to be negative and of order 1/(V \ln V) in the volume,
the 0-component of the spin field diverges as \sqrt{\ln V}, while SO(1,N)
invariant quantities remain finite.Comment: 60 pages, 12 Figures, AMS-Latex; v2: results on vacuum orbit and
spontaneous symmetry breaking extended to all dimension
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