8 research outputs found
A Short Range Force
Gravitomagnetic and gravitoelectric forces have been studied for sometime and
tests for detecting such forces arising from the earth, are under way. We apply
similar considerations at the level of elementary particles in a formulation
using General Relativity, and deduce the presence of short range forces. A
possible candidate could be the somewhat recently detected but otherwise
mysterious short range force, mediated by massive "photons".Comment: 4 pages, TeX, Based on the paper in the Fifth International
Symposium, Frontiers of Fundamental Physic
Finite-Size analysis of the 4-d abelian surface gauge model
We present the results of a finite-size analysis of the four dimensional
abelian surface gauge model. This model is defined assigning abelian variables
to the plaquettes of an hypercubical lattice, and is dual to the four
dimensional Ising model. This last model is known to present a second order
phase transition with mean field critical exponents. We have performed Monte
Carlo simulations on several lattice sizes and high statistics. The analysis of
the partition function zeroes and the specific heat scaling behaviour allowed
us to estimate the critical coupling as well as the critical
exponents and . Our results are consistent with the second order
critical exponents and . The value is in
perfect agreement with duality predictions from the 4-d Ising model.
Nevertheless, the energy histograms show a seemingly non-vanishing double peak
structure. The interface tension analysis suggests that this may be a finite
size effect.Comment: 16p
Quantum and Classical Aspects of Deformed Strings.
The quantum and classical aspects of a deformed matrix model proposed
by Jevicki and Yoneya are studied. String equations are formulated in the
framework of Toda lattice hierarchy. The Whittaker functions now play the role
of generalized Airy functions in strings. This matrix model has two
distinct parameters. Identification of the string coupling constant is thereby
not unique, and leads to several different perturbative interpretations of this
model as a string theory. Two such possible interpretations are examined. In
both cases, the classical limit of the string equations, which turns out to
give a formal solution of Polchinski's scattering equations, shows that the
classical scattering amplitudes of massless tachyons are insensitive to
deformations of the parameters in the matrix model.Comment: 52 pages, Latex
Generalized Drinfeld-Sokolov Hierarchies, Quantum Rings, and W-Gravity
We investigate the algebraic structure of integrable hierarchies that, we
propose, underlie models of -gravity coupled to matter. More precisely, we
concentrate on the dispersionless limit of the topological subclass of such
theories, by making use of a correspondence between Drinfeld-Sokolov systems,
principal embeddings and certain chiral rings. We find that the
integrable hierarchies can be viewed as generalizations of the usual matrix
Drinfeld-Sokolov systems to higher fundamental representations of .
The underlying Heisenberg algebras have an intimate connection with the quantum
cohomology of grassmannians. The Lax operators are directly given in terms of
multi-field superpotentials of the associated topological LG theories. We view
our construction as a prototype for a multi-variable system and suspect that it
might be useful also for a class of related problems.Comment: 34p, harvmac/lanlmac with hyperlinks, 2 uuencoded PostScript figures
appended, CERN-TH.6988/93. (streamlined version that incorporates recent
results on -ground ring spectra
Spin-orbit splittings in heavy-light mesons and Dirac equation
The spin-orbit splitting in heavy-light mesons is seen to be suppressed
experimentally. It is shown that it can be understood qualitatively in the
frame work of Dirac theory. An alternative derivation of a relativistic
dynamical symmetry for the Dirac Hamiltonian, which suppresses spin orbit
splitting, is also given. However it is shown that such a symmetry is not
needed since the spin-orbit splitting in Dirac theory with Coulomb like
potential (as is the case for the one gluon exchange potential in pQCD) is
small anyway.Comment: 9 pages, 1 fi