Ernst Carl Gerlach Stueckelberg
(born February 1, 1905, in Basel;
deceased September 4, 1984, in Geneva).
If your search the Internet and physics literature,
you will find the following
anecdotes about this physicist:
--With his student, Andre Petermann, he invented 1951 the renormalization group, which is now essential to the construction of
grand unified theories, and for which Kenneth Wilson later
won a physics Nobel Prize.
To be exact, I have to mention that André Petermann informed me via e-mail on January 21, 2007, that:
"I was not really a student of
Stueckelberg, but a recently graduate mathematician working on direct
products of generalized functions and on the space on wich they can be
defined. Stueckelberg, having such a problem with his student T.A.Green,
in the work they were doing in S-matrix theory, asked me if I would be
interested in working at the Swiss Atomic Energy Commission, in order to
deal with this problem in a mathematical way, according to Schwartz,
Sobolev and others. I took the job, and Stueckelberg became more my boss
than my professor and later my beloved friend. I worked there during
three years, leaving (on the advice of Stueckelberg) to go to Niels Bohr
in Copenhagen. Best regards, André Petermann.
---------------------------------------------------------------------------------------
This is not yet the full story... concerning the renormalization group,read more at the
bottom of the page !
---------------------------------------------------------------------------------------
--He predicted the first of the hundreds of subatomic particles discovered shortly before and after the war (World War II - the pion),
but did not publish the idea after Pauli told him it was ridiculous.
Later, the Japanese physicist Hideki Yukawa received a Nobel
Prize for this idea.
--He pointed out in 1941 that pair production could be described classically by considering positrons as electrons running backwards in
time.
--He illustrated these concepts with graphs of space-time
trajectories similar to the diagrams Feynman began drawing
in the summer of 1947.
--Richard Feynman won the Nobel Prize in phyiscs for 1965,
jointly with Julian Schwinger of Harvard and Sin-Itiro Tomonoga
of Japan.
After the Nobel award ceremonies Feynman went to CERN to give a lecture.
Feynman's lecture at CERN was attended by Ernst
C. G. Stueckelberg.
After the lecture, Stueckelberg was making his way out alone
from the CERN amphitheatre, when Feynman -
surrounded by admirers - made the remark:
"He did the work and walks alone toward the sunset;
and, here I am, covered in all the glory, which
rightfully should be his!"
Via anonymous email somebody informed me
about the following anecdote:
After Feynman won the Nobel Prize, Schwinger called
him up and asked: "Now are you going to give Stueckelberg his notes
back?"
(The unknown author: This is anecdotal from a friend who is a
theoretical physicist living in
Boston whom I have known for 35 years.
He told me this several years ago
and I believe it to be true.)
I think that the main problem lies in the fact that
Stueckelberg did not promote his ideas in a sufficient way. His
article "La normalisation des constantes dans la theorie des
quanta" (Helv. Phys. Acta 26, 499, 1953)
gives a clear definition of the renormalization
group concept, but the importance of his discovery remains
unclear. There is an even older work on the subject
together with T.A. Green
(HPA 24, 153, 1951, "Elimination des constantes arbitraires
dans la theorie relativiste des quanta").
In HPA articles before 1949,
no diagrams in Stueckelberg's articles can
be found which could be identified as "Feynman diagrams".
Maybe he used them for his "private" calculations.
Someone who knew Stueckelberg personally in his younger years
told me the following:
(translated from the top of my head into english)
"When he became older, Stueckelberg was increasingly mentally disordered.
He had a dog which attended his lectures, and when Stueckelberg
ran into difficulties performing his calculations on the blackboard,
he began to discuss
the subject with his dog. He was treated later with
electroshocks, which was a very popular method in psychiatry
at that time. It was a very sad story."
However, according to André Petermann,
the truth is a slightly different:
"The story with the dog (a Teckel), is of course a pure joke.
Unfortunately, the disease was not a joke."
---------------------------------------------------------------------------------------
Concerning the renormalization group, first watch the following video:
Web of stories
On May 7, 2009, André Petermann sent me the following message:
"Here are some informations which I would share and
eventually discuss with you.
By a pure hazard, I found some comments by Gell-Mann, who delivered on the
web a set of stories on January 2008. There are more than one hundred of
them
of roughly 1 minute each, with videos and possible transcripts. One way to
go there is to call Google, then ask for " Murray Gell-Mann & Francis Low,
web
of stories" . The one of interest for Stueckelberg is number 50 and also 51,
in which he discusses his work with F.Low in the summer 53 in Urbana.
He argue that they worked at exactly the same time on the same topics, but
published only one year later. It is unfortunate but why not true.
At this point, it would be interesting to notice that Stueckelberg announced
the result already at the spring session of the Swiss Physical Society
in May 1951, and published in H.P.A. 24, p.317 (1951). The difference with
the notations of the 1953 paper is that the infinitesimal operators
in the 51 communication differ from those in the 53 paper by a matrix
inversion. But the proof of a group in the space of Feynman diagrams is
already there.
As far as I am concerned, I prefer neatly the 1953 formulation because it
contains the customary way of expressing the RG differential equation as it
is used
even now in 2009. For QED it appears already in the abstract, applied to
invariant physical quantities. The psi function of Gell-Mann is nothing but
the
h-function ((index i specifying the scheme used) (index e, electrodynamics).
So all what Gell-Mann says about their Appendix is already there.
There are rather recent papers by Connes and Kreimer, but especially a January
2009 paper by Brunetti, Duetsch and Fredenhagen (at Gottingen and Hamburg)
in which it is demonstrated that Stueckelberg's group is really a group (not
a semigroup), and Gell-Mann system a subfamily of Stueckelberg'group, namely
a cocycle.. I'll send you the arXiv number of this paper in a separate mail.
Now, to answer your questions, use the style you prefer. Everything is OK,
except that Sueckelberg died in Geneva and is buried in the "Cimetiere des
Rois"
where people like Calvin, Ansermet and other celebrities have their eternal
rest.
With my warm regards."
The paper Petermann is referring to can be downloaded via:
Renormalization groups
---------------------------------------------------------------------------------------
|