48 research outputs found
Phase Transition in Conformally Induced Gravity with Torsion
We have considered the quantum behavior of a conformally induced gravity in
the minimal Riemann-Cartan space. The regularized one-loop effective potential
considering the quantum fluctuations of the dilaton and the torsion fields in
the Coleman-Weinberg sector gives a sensible phase transition for an
inflationary phase in De Sitter space. For this effective potential, we have
analyzed the semi-classical equation of motion of the dilaton field in the
slow-rolling regime.Comment: 7pages, no figur
Effective Chiral Lagrangian from Dual Resonance Models
Parameters of the effective chiral lagrangian (EChL) of orders and
are extracted from low--energy behaviour of dual resonance models for
and scattering amplitudes. Dual resonance models are
considered to be good candidates for the resonance spectrum and for hadronic
scattering amplitudes in the large limit of QCD. We discuss dual
resonance models in the presence of spontaneous and explicit chiral symmetry
breaking. Obtained parameters of the EChL are used to estimate chiral
corrections up to the sixth order to various low--energy characteristics of
and scattering amplitudes.Comment: 32 pages, the references list is updated, comparison with chiral
quark model is done in more detail
Can Theta/N Dependence for Gluodynamics be Compatible with 2 pi Periodicity in Theta ?
In a number of field theoretical models the vacuum angle \theta enters
physics in the combination \theta/N, where N stands generically for the number
of colors or flavors, in an apparent contradiction with the expected 2 \pi
periodicity in \theta. We argue that a resolution of this puzzle is related to
the existence of a number of different \theta dependent sectors in a finite
volume formulation, which can not be seen in the naive thermodynamic limit V ->
\infty. It is shown that, when the limit V -> \infty is properly defined,
physics is always 2 \pi periodic in \theta for any integer, and even rational,
values of N, with vacuum doubling at certain values of \theta. We demonstrate
this phenomenon in both the multi-flavor Schwinger model with the bosonization
technique, and four-dimensional gluodynamics with the effective Lagrangian
method. The proposed mechanism works for an arbitrary gauge group.Comment: minor changes in the discussion, a few references are adde
On the Detection of a Scalar Stochastic Background of Gravitational Waves
In the near future we will witness the coming to a full operational regime of
laser interferometers and resonant mass detectors of spherical shape. In this
work we study the sensitivity of pairs of such gravitational wave detectors to
a scalar stochastic background of gravitational waves. Our computations are
carried out both for minimal and non minimal coupling of the scalar fields.Comment: 25 pages, 3 figure
Chiral Lagrangian with confinement from the QCD Lagrangian
An effective Lagrangian for the light quark in the field of a static source
is derived systematically using the exact field correlator expansion. The
lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a
general structure of effective chiral Lagrangian is obtained containing all set
of fields. The new and crucial result is that the condensation of scalar
isoscalar field which is a usual onset of chiral symmetry breaking and is
constant in space-time, assumes here the form of the confining string and
contributes to the confining potential, while the rest bosonic fields describe
mesons with the q\bar q quark structure and pseudoscalars play the role of
Nambu-Goldstone fields. Using derivative expansion the effective chiral
Lagrangian is deduced containing both confinement and chiral effects for
heavy-light mesons. The pseudovector quark coupling constant is computed to be
exactly unity in the local limit,in agreement with earlier large N_c arguments.Comment: LaTeX2e, 17 page
3D MHD Coronal Oscillations About a Magnetic Null Point: Application of WKB Theory
This paper is a demonstration of how the WKB approximation can be used to
help solve the linearised 3D MHD equations. Using Charpit's Method and a
Runge-Kutta numerical scheme, we have demonstrated this technique for a
potential 3D magnetic null point, .
Under our cold plasma assumption, we have considered two types of wave
propagation: fast magnetoacoustic and Alfv\'en waves. We find that the fast
magnetoacoustic wave experiences refraction towards the magnetic null point,
and that the effect of this refraction depends upon the Alfv\'en speed profile.
The wave, and thus the wave energy, accumulates at the null point. We have
found that current build up is exponential and the exponent is dependent upon
. Thus, for the fast wave there is preferential heating at the null
point. For the Alfv\'en wave, we find that the wave propagates along the
fieldlines. For an Alfv\'en wave generated along the fan-plane, the wave
accumulates along the spine. For an Alfv\'en wave generated across the spine,
the value of determines where the wave accumulation will occur:
fan-plane (), along the axis () or along the
axis (). We have shown analytically that currents build up
exponentially, leading to preferential heating in these areas. The work
described here highlights the importance of understanding the magnetic topology
of the coronal magnetic field for the location of wave heating.Comment: 26 pages, 12 figure
Higgs boson mass limits in perturbative unification theories
Motivated in part by recent demonstrations that electroweak unification into
a simple group may occur at a low scale, we detail the requirements on the
Higgs mass if the unification is to be perturbative. We do this for the
Standard Model effective theory, minimal supersymmetry, and next-to-minimal
supersymmetry with an additional singlet field. Within the Standard Model
framework, we find that perturbative unification with sin2(thetaW)=1/4 occurs
at Lambda=3.8 TeV and requires mh<460 GeV, whereas perturbative unification
with sin2(thetaW)=3/8 requires mh<200 GeV. In supersymmetry, the presentation
of the Higgs mass predictions can be significantly simplified, yet remain
meaningful, by using a single supersymmetry breaking parameter Delta_S. We
present Higgs mass limits in terms of Delta_S for the minimal supersymmetric
model and the next-to-minimal supersymmetric model. We show that in
next-to-minimal supersymmetry, the Higgs mass upper limit can be as large as
500 GeV even for moderate supersymmetry masses if the perturbative unification
scale is low (e.g., Lambda=10 TeV).Comment: 20 pages, latex, 6 figures, references adde
The Fayet-Iliopoulos D-term and its renormalisation in softly-broken supersymmetric theories
We consider the renormalisation of the Fayet-Iliopoulos D-term in a
softly-broken abelian supersymmetric theory, and calculate the associated
beta-function through three loops. We show that there exists (at least through
three loops) a renormalisation group invariant trajectory for the coefficient
of the D-term, corresponding to the conformal anomaly solution for the soft
masses and couplings.Comment: 30 pages, Revtex, 15 Figures. Minor changes, and inadvertent omission
of author from this abstract correcte
A Heavy-Light Chiral Quark Model
We present a new chiral quark model for mesons involving a heavy and a light
(anti-) quark. The model relates various combinations of a quark - meson
coupling constant and loop integrals to physical quantities. Then, some
quantities may be predicted and some used as input. The extension from other
similar models is that the present model includes the lowest order gluon
condensate of the order (300 MeV)^4 determined by the mass splitting of the 0^-
and the 1^- heavy meson states. Within the model, we find a reasonable
description of parameters such as the decay constants f_B and f_D, the
Isgur-Wise function and the axial vector coupling g_A in chiral perturbation
theory for light and heavy mesons.Comment: 31 pages, 13 figures, RevTex4.
Supersymmetry on the Run: LHC and Dark Matter
Supersymmetry, a new symmetry that relates bosons and fermions in particle
physics, still escapes observation. Search for SUSY is one of the main aims of
the recently launched Large Hadron Collider. The other possible manifestation
of SUSY is the Dark Matter in the Universe. The present lectures contain a
brief introduction to supersymmetry in particle physics. The main notions of
supersymmetry are introduced. The supersymmetric extension of the Standard
Model - the Minimal Supersymmetric Standard Model - is considered in more
detail. Phenomenological features of the MSSM as well as possible experimental
signatures of SUSY at the LHC are described. The DM problem and its possible
SUSY solution is presented.Comment: Latex, 37 pages, 35 figures. Lectures given at 48 Schladming School
on Theoretical Physics, March 201