arXiv subjects

Allen Stern

Publications and source records attributed to Allen Stern.

7 recordsLinked to original sources

arXiv2019

Non-commutative $AdS_2/CFT_1$ duality: the case of massive and interacting scalar fields

We continue the study of the nocommutative $AdS_2 / CFT_1$ correspondence. We extend our previous results obtained for a free massless scalar field to the case of a massive scalar field. Both the free and interacting cases are considered. For both cases it is confirmed that to the leading order in noncommutative corrections the 2- and 3-point correlation functions have the form that is assumed by some (yet unspecified) dual $CFT$. We also argue that there does not exist a map which connects the commutative model to its non-commutative counterpart, and therefore the conformal behaviour of the noncommutative correlators is a non-trivial result.

hep-th↗

arXiv2014

An effective Thermodynamic Description of Galactic Haloes

The observation of flat rotation curves in asymptotic region of galaxies implies that the dark matter density profile decreases exponentially with the gravitational potential in this region. It is curious that this behavior is identical to what one would have from a Boltzmann gas in thermal equilibrium. This suggests that an {\it effective} Boltzmann gas description of dark matter is possible for the halo, which follows even though no requirement of thermal equilibrium is assumed for the dark matter particles. We examine some qualitative and quantitative consequences of such an effective description. This is done by studying a simple model that takes into account gravitational self-interactions of dark matter and its gravitational interactions with the baryonic core. Solutions to the dynamics are determined by two parameters, one of which is the ratio of the dark matter mass to the effective temperature of the gas. Crude estimates can be made for these parameters based on observations.

astro-ph.GA↗

arXiv2013

Possible Evidence of Thermodynamic Equilibrium in Dark Matter Haloes

After deducing the density profiles and gravitational potential functions of eight galaxies from the rotation velocity data from THINGS, we find that the density decreases exponentially with the potential in substantial regions of the haloes. Such behavior is in agreement with that of a single-component isothermal Boltzmann gas, and suggests that an effective description in terms of a Boltzmann gas is possible for dark matter in these regions. This could be an indication that dark matter self-interactions are sufficient in strength and number to lead to thermal equilibrium in these regions. We write down the dynamics and boundary conditions for a Boltzmann gas description and examine some of its qualitative and quantitative consequences. Solutions to the dynamical system are determined by three dimensionfull parameters, and provide reasonable fits to the rotational velocity data in the regions where the Boltzmann-like behavior was found. Unlike in the usual approach to curve fitting, we do not assume a specific form for the dark matter density profile and we do not require a detailed knowledge of the baryonic content of the galaxy.

astro-ph.CO↗

arXiv2010

Charge Enhancement of Noncommutative Gravity

Noncommutative corrections to the metric tensor can be significantly enhanced by the presence of electromagnetic fields. Neutron stars, with their large magnetic fields, are possible candidates to search for such effects. We use precision measurements of the gravitational redshift from pulsars to put bounds on the parameters of noncommutative gravity.

gr-qc↗

arXiv2010

Location and Direction Dependent Effects in Collider Physics from Noncommutativity

We examine the leading order noncommutative corrections to the differential and total cross sections for e+ e- --> q q-bar. After averaging over the earth's rotation, the results depend on the latitude for the collider, as well as the direction of the incoming beam. They also depend on scale and direction of the noncommutativity. Using data from LEP, we exclude regions in the parameter space spanned by the noncommutative scale and angle relative to the earth's axis. We also investigate possible implications for phenomenology at the future International Linear Collider.

hep-ph↗

arXiv2010

Emergent Abelian Gauge Fields from Noncommutative Gravity

We construct exact solutions to noncommutative gravity following the formulation of Chamseddine and show that they are in general accompanied by Abelian gauge fields which are first order in the noncommutative scale. This provides a mechanism for generating cosmological electromagnetic fields in an expanding space-time background, and also leads to multipole-like fields surrounding black holes. Exact solutions to noncommutative Einstein-Maxwell theory can give rise to first order corrections to the metric tensor, as well as to the electromagnetic fields. This leads to first order shifts in the horizons of charged black holes.

hep-th↗

arXiv2005

On the Absence of Continuous Symmetries for Noncommutative 3-Spheres

A large class of noncommutative spherical manifolds was obtained recently from cohomology considerations. A one-parameter family of twisted 3-spheres was discovered by Connes and Landi, and later generalized to a three-parameter family by Connes and Dubois-Violette. The spheres of Connes and Landi were shown to be homogeneous spaces for certain compact quantum groups. Here we investigate whether or not this property can be extended to the noncommutative three-spheres of Connes and Dubois-Violette. Upon restricting to quantum groups which are continuous deformations of Spin(4) and SO(4) with standard co-actions, our results suggest that this is not the case.

hep-th↗