In Memorium Professor George Leibbrandt of the University of Guelph
The Canadian Physics and Mathematics communities suffered a great loss
recently
when Professor George Leibbrandt of the University of Guelph suddenly passed
away last April 3, 2001.
George began his career in Theoretical Physics at McMaster University,
obtaining a B.Sc. there in 1961.
He then went on to carry out graduate work at McGill University, getting
an M.Sc. and then a Ph.D.
there, completing his studies in 1967. Shortly before the defense of his
thesis, he took up a position in
the Department of Mathematics and Statistics at the University of Guelph
in 1966, a position he retained
until his death in 2001.
George enjoyed a long, productive and stimulating career in theoretical
physics. He actively participated
in the life of both the mathematics and physics departments at the University
of Guelph, and was a
well-known and much admired figure in each. Throughout his career, he supervised
10 postdoctoral
fellows and 8 graduate students. He enjoyed the collegiality of his fellow
researchers in theoretical
physics throughout Southern Ontario, and participated regularly in the
activities of the Guelph-Waterloo
Physics Institute and in special events held at Toronto, Western, and McMaster.
His expertise in
theoretical physics took him to some of the most prestigious institutions
around the world, including
Imperial College, Cambridge University, CERN, Harvard, and the ICTP in
Trieste. He won two Humboldt
Fellowships and was twice a Bye Fellow at Cambridge.
George's expertise was in gauge field theories. He was one of the first
people to apply dimensional
regularization to perturbative loop corrections in quantum gravity. The
technique -- which involves
calculating divergent integrals by analytically continuing in the number
of spacetime dimensions -- was
still quite new at the time, and George became one of the first experts
on its application to quantum field
theory.
In the 1980s George moved on to study field theories in non-covariant gauges.
All standard model
interactions respect the principle of gauge invariance, which allows for
a redefinition of the 4-vector
potential associate with a force according to a certain prescription. The
simplest example is the
modification of the vector potential in electromagnetism by the addition
of the gradient of an arbitrary
function; if you add such a gradient to the vector potential, both the
electric and magnetic fields remain
unchanged. In order to calculate in a quantum gauge field theory, it is
necessary to "fix the gauge" ie
choose a particular form of constraint on the gauge field (eg the photon
or gluon) which eliminates the
redundant gradient terms. In the 1970s this was almost always done covariantly,
ie. in a manner that
manifestly respected Lorentz invariance. However, while physical observations
cannot depend on this
choice of constraint, little was known about how to carry out calculations
when the constaint was
chosen non-covariantly.
George was one of the pioneers in demonstrating how to carry out quantum
field theoretic corrections for
this case, in a context which came to be referred to as a "non-covariant
gauge" choice. His prescription
for treating these cases came to be known as the "Mandlestam-Leibbrandt"
prescription, named after
both George and Stanly Mandlestam, who also worked on this subject. The
techniques they developed
became essential in demonstrating the finiteness of certain field theories
such as N=4 Supersymmetric
Yang-Mills theories.
In 1999 George was asked to become a founding member of the Perimeter Institute
for Theoretical
Physics, a task to which he dedicated himself wholeheartedly. He worked
closely with the principal
donor, Mike Lazaridis, and with Howard Burton, its executive director.
George was very concerned that
the Institute fulfil its mandate to be a premier place for research in
theoretical physics, and he spent
many volunteer hours attending board meetings, going through architectural
plans, and participating in
discussions concerning its scientific merit.
George will always be remembered for his kindness and patience. Always
ready to help out a student or
colleague in need, he had a way of providing encouragement just when you
needed it most. His modesty
concerning his own accomplishments in physics did not do justice to their
importance. He will be sorely
missed.