3,037 research outputs found
Equivalence of the Beta-function of the Variational Approach to that of QCD
The variational ansatz for the ground state wavefunctional of QCD is found to
capture the anti-screening behaviour that contributes the dominant `-4' to the
beta-function and leads to asymptotic freedom. By considering an SU(N) purely
gauge theory in the Hamiltonian formalism and choosing the Coulomb gauge, the
origins of all screening and anti-screening contributions in gluon processes
are found in terms of the physical degrees of freedom. The overwhelming anti-
screening contribution of `-4' is seen to originate in the renormalisation of a
Coulomb interaction by a transverse gluon. The lesser screening contribution of
`1/3' is seen to originate in processes involving transverse gluon
interactions. It is thus apparent how the variational ansatz must be developed
to capture the full running of the QCD coupling constant.Comment: 35 pages, 11 figures, LaTe
A variational approach to the QCD wavefunctional: Calculation of the QCD beta-function
The beta-function is calculated for an SU(N) Yang-Mills theory from an ansatz
for the vacuum wavefunctional. Direct comparison is made with the results of
calculations of the beta-function of QCD. In both cases the theories are
asymptotically free. The only difference being in the numerical coefficient of
the beta-function, which is found to be -4 from the ansatz and -4+1/3 from
other QCD calculations. This is because, due to the constraint of Gauss' law
applied to the wavefunctional, transverse gluons (which contribute the 1/3) are
omitted. The renormalisation procedure is understood in terms of `tadpole' and
`horse-shoe' Feynman diagrams which must be interpreted with a non-local
propagator.Comment: 23 pages, LaTex, 2 fig
Current fluctuations in a spin filter with paramagnetic impurities
We analyze the frequency dependence of shot noise in a spin filter consisting
of a normal grain and ferromagnetic electrodes separated by tunnel barriers.
The source of frequency-dependent noise is random spin-flip electron scattering
that results from spin-orbit interaction and magnetic impurities. Though the
latter mechanism does not contribute to the average current, it contributes to
the noise and leads to its dispersion at frequencies of the order of the
Korringa relaxation rate. Under nonequilibrium conditions, this rate is
proportional to the applied bias , but parametrically smaller than
.Comment: 6 pages, 2 figure
Statistics of fluctuations for two types of crossover: from ballistic to diffusive regime and from orthogonal to unitary ensemble
In our previous publication [Kogan et al, Phys. Rev. {\bf 48}, 9404 (1993)]
we considered the issue of statistics of radiation diffusively propagating in a
disordered medium. The consideration was in the framework of diagrammatic
techniques and a new representation for the intensity distribution function in
terms of connected diagrams only was proposed. Here we use similar approach to
treat the issue of statistics in the regime of the crossover between ballistic
and diffusive transport. We find that even small contribution from coherent
component decreases by one half the intensity distribution function for small
values of intensity and also produces oscillations of the distribution
function. We also apply this method to study statistics of fluctuations of wave
functions of chaotic electrons in a quantum dot in an arbitrary magnetic field,
by calculating the single state local density in the regime of the crossover
between the orthogonal and unitary ensemble.Comment: Revtex, 3 pages + 2 ps.figures in uuencoded file, a version which
clarifies and unites the results of two previous submission
String Thermodynamics in D-Brane Backgrounds
We discuss the thermal properties of string gases propagating in various
D-brane backgrounds in the weak-coupling limit, and at temperatures close to
the Hagedorn temperature. We determine, in the canonical ensemble, whether the
Hagedorn temperature is limiting or non-limiting. This depends on the
dimensionality of the D-brane, and the size of the compact dimensions. We find
that in many cases the non-limiting behaviour manifest in the canonical
ensemble is modified to a limiting behaviour in the microcanonical ensemble and
show that, when there are different systems in thermal contact, the energy
flows into open strings on the `limiting' D-branes of largest dimensionality.
Such energy densities may eventually exceed the D-brane intrinsic tension. We
discuss possible implications of this for the survival of Dp-branes with large
values of p in an early cosmological Hagedorn regime. We also discuss the
general phase diagram of the interacting theory, as implied by the holographic
and black-hole/string correspondence principles.Comment: 50 pages, LaTeX, 4 eps figures. Added discussion of random walk
picture. Corrected technical error in the treatment of ND strings (notice
some formulas are rewritten). Conclusions unchange
Some Thermodynamical Aspects of String Theory
Thermodynamical aspects of string theory are reviewed and discussed.Comment: 22 Pages plain latex; based on contributions to Golfand Memorial
Volume and Englertfest by E.Rabinovic
Interquark Potential in Schrodinger Representation
Static charges are introduced in Yang-Mills theory via coupling to heavy
fermions. The states containing static color charges are constructed using
integration over gauge transformations. A functional representation for
interquark potential is obtained. This representation provides a simple
criterion for confinement.Comment: 9pp., Late
Thermal Duality and Hagedorn Transition from p-adic Strings
We develop the finite temperature theory of p-adic string models. We find
that the thermal properties of these non-local field theories can be
interpreted either as contributions of standard thermal modes with energies
proportional to the temperature, or inverse thermal modes with energies
proportional to the inverse of the temperature, leading to a "thermal duality"
at leading order (genus one) analogous to the well known T-duality of string
theory. The p-adic strings also recover the asymptotic limits (high and low
temperature) for arbitrary genus that purely stringy calculations have yielded.
We also discuss our findings surrounding the nature of the Hagedorn transition.Comment: 4 pages and 4 figure
Three-Dimensional Gravity and String Ghosts
It is known that much of the structure of string theory can be derived from
three-dimensional topological field theory and gravity. We show here that, at
least for simple topologies, the string diffeomorphism ghosts can also be
explained in terms of three-dimensional physics.Comment: 6 page
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