145 research outputs found
The Nambu-Jona-Lasinio Model at O(1/N^2)
We write down the anomalous dimensions of the fields of the
Nambu--Jona-Lasinio model or chiral Gross Neveu model with a continuous global
chiral symmetry for the two cases and
at in a expansion.Comment: 9 latex pages, 4 figures (available on request from the author),
LTH-308, (2 eqns corrected
Three loop QCD MOM beta-functions
We present the full expressions for the QCD beta-function in the MOMggg, MOMq
and MOMh renormalization schemes at three loops for an arbitrary colour group
in the Landau gauge. The results for all three schemes are in very good
agreement with the SU(3) numerical estimates provided by Chetyrkin and
Seidensticker.Comment: 9 latex page
A Study of the Nambu--Jona-Lasinio Model on the Lattice
We present our full analysis of the two flavor Nambu--Jona-Lasinio model with
chiral symmetry on the four--dimensional hypercubic
lattice with naive and Wilson fermions. We find that this model is an excellent
toy field theory to investigate issues related to lattice QCD. We use the large
approximation to leading order in to obtain non perturbative
analytical results over almost the whole parameter range. By using numerical
simulations we estimate that the size of the corrections for most of the
quantities we consider are small and in this way we strengthen the validity of
the leading order large calculations. We obtain results regarding the
approach to the continuum chiral limit, the effects of the zero momentum
fermionic modes on finite lattices and the scalar and pseudoscalar spectrum.
Note: The full ps file of this preprint is also available via anonymous ftp to
ftp.scri.fsu.edu. To get the ps file, ftp to this address and use for username
"anonymous" and for password your complete E-mail address. The file is in the
directory pub/vranas (to go to that directory type: cd pub/vranas) and is
called NJL_long.ps (to get it type: get NJL_long.ps)Comment: 35 pages, LaTex file. (Added section with title: "The zero pion mass
line on a finite lattice at large ".
Self Consistent Expansion In The Presence Of Electroweak Interactions
In the conventional approach to the expansion, electroweak
interactions are switched off and large QCD is treated in isolation. We
study the self-consistency of taking the large limit in the presence of
electroweak interaction. If the electroweak coupling constants are held
constant, the large counting rules are violated by processes involving
internal photon or weak boson lines. Anomaly cancellations, however, fix the
ratio of electric charges of different fermions. This allows a self-consistent
way to scale down the electronic charge in the large limit and hence
restoring the validity of the large counting rules.Comment: 9 pages in REVTeX, no figure
Equatorial circular orbits in the Kerr-de Sitter spacetimes
Equatorial motion of test particles in the Kerr-de Sitter spacetimes is
considered. Circular orbits are determined, their properties are discussed for
both the black-hole and naked-singularity spacetimes, and their relevance for
thin accretion discs is established.Comment: 24 pages, 19 figures, REVTeX
An Isocurvature Mechanism for Structure Formation
We examine a novel mechanism for structure formation involving initial number
density fluctuations between relativistic species, one of which then undergoes
a temporary downward variation in its equation of state and generates
superhorizon-scale density fluctuations. Isocurvature decaying dark matter
models (iDDM) provide concrete examples. This mechanism solves the
phenomenological problems of traditional isocurvature models, allowing iDDM
models to fit the current CMB and large-scale structure data, while still
providing novel behavior. We characterize the decaying dark matter and its
decay products as a single component of ``generalized dark matter''. This
simplifies calculations in decaying dark matter models and others that utilize
this mechanism for structure formation.Comment: 4 pages, 3 figures, submitted to PRD (rapid communications
AdS/CFT Correspondence and the Reheating of the Brane-Universe
We present a mechanism for exit from inflation and reheating using the
AdS/CFT correspondence. A cosmological evolution is induced on a probe D3-brane
as it moves in a black D-brane background of type-0 string theory. If the
tachyon field is non zero, inflation is induced on the brane-universe, with the
equation of state parameter in the range -1<w<-1/3 depending on the position of
the probe brane in the bulk. As the probe brane approaches the horizon of the
background black hole, the inflation rate decreases and the value of w gets
larger. At some critical distance away from the horizon, inflation ends. When
the brane-universe reaches the horizon, the conformal invariance is restored,
the background geometry becomes AdS{5}X S{5}, and the brane-universe feels the
CFT thermal radiation and reheats.Comment: LaTex file, 18 pages, 2 figures, accepted for publication in JHE
Electromagnetic Response of Layered Superconductors with Broken Lattice Inversion Symmetry
We investigate the macroscopic effects of charge density waves (CDW) and
superconductivity in layered superconducting systems with broken lattice
inversion symmetry (allowing for piezoelectricity) such as two dimensional (2D)
transition metal dichalcogenides (TMD). We work with the low temperature time
dependent Ginzburg-Landau theory and study the coupling of lattice distortions
and low energy CDW collective modes to the superconducting order parameter in
the presence of electromagnetic fields. We show that superconductivity and
piezoelectricity can coexist in these singular metals. Furthermore, our study
indicates the nature of the quantum phase transition between a commensurate CDW
phase and the stripe phase that has been observed as a function of applied
pressure.Comment: 9 pages, 1 figure. Final version. Accepted in Phys.Rev.
Are Post-Newtonian templates faithful and effectual in detecting gravitational signals from neutron star binaries?
We compute the overlap function between Post-Newtonian (PN) templates and
gravitational signals emitted by binary systems composed of one neutron star
and one point mass, obtained by a perturbative approach. The calculations are
performed for different stellar models and for different detectors, to estimate
how effectual and faithful the PN templates are, and to establish whether
effects related to the internal structure of neutron stars may possibly be
extracted by the matched filtering technique.Comment: 14 pages, 3 figures, accepted for publication in Phys. Rev.
Integrable Spin Chains on the Conformal Moose
We consider N=1, D=4 superconformal U(N)^{pq} Yang-Mills theories dual to
AdS_5xS^5/Z_pxZ_q orbifolds. We construct the dilatation operator of this
superconformal gauge theory at one-loop planar level. We demonstrate that a
specific sector of this dilatation operator can be thought of as the transfer
matrix for a two-dimensional statistical mechanical system, related to an
integrable SU(3) anti-ferromagnetic spin chain system, which in turn is
equivalent to a 2+1-dimensional string theory where the spatial slices are
discretized on a triangular lattice. This is an extension of the SO(6) spin
chain picture of N=4 super Yang-Mills theory. We comment on the integrability
of this N=1 gauge theory and hence the corresponding three-dimensional
statistical mechanical system, its connection to three-dimensional lattice
gauge theories, extensions to six-dimensional string theories, AdS/CFT type
dualities and finally their construction via orbifolds and brane-box models. In
the process we discover a new class of almost-BPS BMN type operators with large
engineering dimensions but controllably small anomalous corrections.Comment: 53 pages, 14 eps figures; Added reference
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