3,604 research outputs found
Lattice energy sum rules and the trace anomaly
We show that the additional contribution to the Michael lattice energy sum
rule for the static quark-antiquark potential, pointed out recently, can be
identified with the contribution to the field energy arising from the trace
anomaly of the energy momentum tensor. We also exlicitely exhibit the anomalous
contribution to the field energy in the sum rule for the glueball mass obtained
recently by Michael.Comment: 8 pages, plain TeX, no figures; text & abstract extended. Includes
glueball energy sum rul
Binary spinning black hole Hamiltonian in canonical center-of-mass and rest-frame coordinates through higher post-Newtonian order
The recently constructed Hamiltonians for spinless binary black holes through
third post-Newtonian order and for spinning ones through formal second
post-Newtonian order, where the spins are counted of zero post-Newtonian order,
are transformed into fully canonical center-of-mass and rest-frame variables.
The mixture terms in the Hamiltonians between center-of-mass and rest-frame
variables are in accordance with the relation between the total linear momentum
and the center-of-mass velocity as demanded by global Lorentz invariance. The
various generating functions for the center-of-mass and rest-frame canonical
variables are explicitly given in terms of the single-particle canonical
variables. The no-interaction theorem does not apply because the world-line
condition of Lorentz covariant position variables is not imposed.Comment: 18 pages, no figure
Quantum Fluctuations of Particles and Fields in Smooth Path Integrals
An approach to evaluation of the smooth Feynman path integrals is developed
for the study of quantum fluctuations of particles and fields in Euclidean
time-space. The paths are described by sum of Gauss functions and are weighted
with exp(-S) by appropriate methods. The weighted smooth paths reproduce
properties of the ground state of the harmonic oscillator in one dimension with
high accuracy. Quantum fluctuations of U(1) and SU(2) gauge fields in four
dimensions are also evaluated in our approach.Comment: 4 pages, 1 figure, talk given at the 12th Asia Pacific Physics
Conference of AAPPS (APPC12), Makuhari, Japan, 14-19 July 201
The wind-sock theory of comet tails
A method is reported for calculating the shapes of ionic comet tails that use the magnetic field along the tail to channel the tail plasma. The local momentum field in the solar wind determines magnetic field line locations along the tail. Thus, the magnetic field acts as a transparent wind sock in trapping field lines in the cometary plasma around the nucleus long enough to be effectively fastened to the comet's head
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