Thermodynamics with 3 Spins
Glauber dynamics, applied to the one-dimensional Ising model, provides a tractable model for the study of non-equilibrium, many-body processes driven by a heat bath
physics.gen-ph↗
arXiv subjects
Jack L. Uretsky
Publications and source records attributed to Jack L. Uretsky.
Pi-Pi Scattering Lengths in the Light of Precision Measurements
I summarize the history of theoretical predictions of, and experimental attempts to measure, pion-pion (S-wave) scattering lengths. Recent measurements at CERN confirm Weinberg's 1966 prediction of the I=2 scattering length and Basdevant and Lee's subsequent correction of the Weinberg I=0 value by inclusion of an S-wave I=0 resonance.
hep-ph↗
Dual Interpretations of Pion Clouds at RHIC
A gauge theory of pions interacting with rho-mesons at elevated temperatures is used to calculate the pressure in a hot pion gas. No reference is made to the pion's status as a QCD Goldstone boson. The role of the pion is merely that of a carrier of an SU(2) symmetry, gauged to create a vector-meson interaction, the rho playing the role of the interacting vector particle. The results are in rough agreement with much more elaborate calculations, both of the purely hadronic variety, and those that invoke quark-gluon degrees of freedom. The quark-gluon and purely hadronic calculations seemingly lead to very similar predictions which are in accord with receent data from RHIC. The results motivate the question as to whether the two descriptions are dual to each other in the sense of being alternate models, each sufficient to explain the observed data.
hep-ph↗
Comment on "Phase Transition-Like Behavior in a Low-Pass Filter"
This is a reminder that an infinite series can be defined other than as the limit of a sequence of finite series. An example is provided in which a circuit element comprised of an infinite series of resistors has negative resistance.
physics.ed-ph↗
The Muon Anomalous Magnetic Moment - Significance of the New Measurement
Theoretical calculations of the hadronic contribution to the muon anomalous magnetic moment utilize experimental data from e+e- annhilation and tau decay. The data provide input to a dispersion relation. I contend that it is not possible to put error bounds on the dispersion-relation calculation absent proof - not presently available - that the amplitudes in question are polynomially bounded. Examples are provided. Additional pertinent references have been added to an earlier version of this posting.
hep-ph↗
Introductory Calculus from the Viewpoint of Non-Standard Analysis - Derivative of Sine and Cosine
This article exemplifies a novel approach to the teaching of introductory differential calculus using the modern notion of ``infinitesimal'' as opposed to the traditional approach using the notion of ``limit''. I illustrate the power of the new approach with a discussion of the derivatives of the sine and cosine functions.
math.GM↗