65,247 research outputs found
Differential Equations for Definition and Evaluation of Feynman Integrals
It is shown that every Feynman integral can be interpreted as Green function
of some linear differential operator with constant coefficients. This
definition is equivalent to usual one but needs no regularization and
application of -operation. It is argued that presented formalism is
convenient for practical calculations of Feynman integrals.Comment: pages, LaTEX, MSU-PHYS-HEP-Lu2/9
A Polynomial Hybrid Monte Carlo Algorithm
We present a simulation algorithm for dynamical fermions that combines the
multiboson technique with the Hybrid Monte Carlo algorithm. We find that the
algorithm gives a substantial gain over the standard methods in practical
simulations. We point out the ability of the algorithm to treat fermion
zeromodes in a clean and controllable manner.Comment: Latex, 1 figure, 12 page
Correlated forward-backward dissociation and neutron spectra as a luminosity monitor in heavy ion colliders
Detection in zero degree calorimeters of the correlated forward-backward
Coulomb or nuclear dissociation of two colliding nuclei is presented as a
practical luminosity monitor in heavy ion colliders. Complementary predictions
are given for total correlated Coulomb plus nuclear dissociation and for
correlated forward-backward single neutrons from the giant dipole peak.Comment: 16 pages, latex, revtex source, four postscript figure
Refined Kato inequalities and conformal weights in Riemannian geometry
We establish refinements of the classical Kato inequality for sections of a
vector bundle which lie in the kernel of a natural injectively elliptic
first-order linear differential operator. Our main result is a general
expression which gives the value of the constants appearing in the refined
inequalities. These constants are shown to be optimal and are computed
explicitly in most practical cases.Comment: AMS-LaTeX, 36pp, 1 figure (region.eps
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