John Collins
Distinguished Professor Emeritus of Physics (at the
Physics Department
of Penn State University)
Ph.D., University of Cambridge, 1975
Mailing address:
104 Davey Lab. #208,
Penn State University,
University Park PA 16802,
U.S.A.
jcc8@psu.edu
Elementary Particles and Fields
Perturbative Quantum Chromodynamics
Prof. Collins' research is predominantly in the theory of the strong
interactions of elementary particles, but with occasional excursions
into other areas. (One particular case is the investigation of
observations of cosmic rays from X-ray binary stars. These
extraordinary objects behave like particle accelerators of energies
much beyond those available on earth. Observations can shed new light
both on elementary particle physics and on stellar physics.)
The theory of the strong nuclear interaction is quantum chromodynamics
(QCD). Protons and other strongly interacting particles are bound
states of quarks held together by what is called a "gluon field". A
key property of QCD is "asymptotic freedom". This means that on long
distance scales the interaction is strong, so that quarks are
permanently confined, but that on shorter distance scales the
interaction becomes progressively weaker. In principle, QCD should be
able to predict the properties of atomic nuclei from first principles,
but, in practice, this is very difficult because one has to treat
strong coupling, relativistic many-body dynamics.
In the twenty years since the discovery of QCD, substantial progress
has nevertheless been made in understanding the consequences of the
theory. Much of the progress has been concerned with phenomena that
occur on distance scales smaller than the size of a proton, for there
one can try to exploit the weakness of the interactions that is a
consequence of asymptotic freedom. Prof. Collins has played an
important role in this work.
Originally, calculations in QCD were possible only for a few exotic
processes. As experiments on elementary particle collisions have
progressed to higher and higher energies, the products of the
collisions have become more complex, but at the same time they probe
shorter distances. The quantitative predictions that can now be made
from first principles, for a wide range of processes, are in
substantial agreement with experiment. In obtaining these predictions,
Prof. Collins and many others have discovered interesting mathematical
properties of the theory. Only with the aid of these results, can one
interpret experimental data from modern high energy particle
accelerators.
The result is that these accelerators can now be used in effect as
microscopes which probe fundamental physics at distance scales that
are now of the order of a hundredth or a thousandth of the size of a
proton. One aim of current research in elementary particle physics is
to discover what lies inside the many known "elementary" particles,
and what causes them to have the properties that they have. In these
investigations, the results of QCD calculations play a critical role.
Prof. Collins is an emeritus member of the
CTEQ
Collaboration, which is a collaboration of experimentalists and
theorists at many universities and laboratories who work on QCD.
Systems neuroscience
Commonly it has been supposed that the coding by neuronal firing for
the various percepts recognized by a brain is in complex distributed
patterns of firing. However, in recent years it has increasingly been
found that there are also neurons that respond very simply, in a wide
variety of organisms from birds to primates, both non-human and
human. For example, there are neurons that fire exactly at one moment
in the song of a zebra finch, and there are neurons that fire when a
human sees an image of one particular person. We aim at understanding
the algorithms in which these neurons participate, and to relate these
to the properties of individual neurons. How do neurons create the
complex sequences in birdsong? How are memories formed? How are they
represented? Possible algorithms are highly constrained in order that
large amounts of information can be processed and stored without
running out of space.
Books
-
John Collins, Foundations
of Perturbative QCD (Cambridge University Press, 2011).
Errata can be found here.
-
John Collins, Renormalization:
an introduction to renormalization, the renormalization group and
the operator product expansion, (Cambridge University Press,
Cambridge, 1984).
The available formats are: Open Access pdf file, paperback, hardback.
Errata can be found here.
Russian translation (V.A. Smirnov and O.I. Zavialov trans.)
published by Mir, Moscow, 1988.
Research Articles
See my
publications in the INSPIRE database for a fairly accurate list of my
publications in elementary particle physics.
Selected publications:
-
John Collins, Ted C. Rogers, and Nobuo Sato,
"Positivity and renormalization of parton densities",
Phys. Rev. D 105, 076010 (2022);
arXiv:2111.01170.
-
John Collins,
"Do fragmentation functions in factorization theorems correctly
treat non-perturbative effects?",
arXiv:1610.09994.
-
Garrett Swan, John Collins, and Brad Wyble,
"Memory for a single object has differently variable precisions
for relevant and irrelevant features",
Journal of Vision 16(3), 32 (2016).
-
J.C. Collins and T.C. Rogers,
"Understanding the large-distance behavior of
transverse-momentum-dependent parton densities and the
Collins-Soper evolution kernel",
Phys.
Rev. D91, 074020 (2015);
arXiv:1412.3820.
-
John Collins,
"CSS Equation, etc, Follow from Structure of TMD Factorization",
arXiv:1212.5974.
-
S. Mert Aybat, John C. Collins, Jian-Wei Qiu, and Ted C. Rogers,
"The QCD Evolution of the Sivers Function"
arXiv:1110.6428.
-
J. Collins,
"New definition of TMD parton densities"
in Proceedings of QCD Evolution workshop,
Jefferson Laboratory, April 8--9, 2011,
Int. J. Mod. Phys. Conf. Ser. 4, 85-96 (2011),
arXiv:1107.4123.
-
J. Collins,
"Rapidity divergences and valid definitions of parton densities",
in
Proceedings
of LIGHT CONE 2008 Relativistic Nuclear and Particle Physics
July 7-11, 2008, Mulhouse, France,
PoS
LC2008:028,2008;
arXiv:0808.2665.
-
J.C. Collins and T.C. Rogers,
"The Gluon Distribution Function and Factorization in Feynman
Gauge",
Phys.
Rev. D77, 085009 (2008);
arXiv:0805.1752.
-
John Collins and Jian-Wei Qiu,
"Factorization is violated in production of
high-transverse-momentum particles in hadron-hadron collisions",
Phys.
Rev. D75, 114014 (2007);
arXiv:0705.2141
-
John Collins, Alejandro Perez, and Daniel Sudarsky,
"Lorentz invariance Violation and its Role in Quantum Gravity
Phenomenology",
in Quantum Gravity, D. Oriti ed.
(Cambridge University Press);
hep-th/0603002.
-
John C. Collins, Aneesh V. Manohar, and Mark B. Wise,
"Renormalization of the Vector Current in QED",
Phys.
Rev. D 73, 105019 (2006);
hep-th/0512187.
-
J.C. Collins and A. Metz,
"Universality of soft and collinear factors in hard-scattering
factorization",
Phys.
Rev. Lett. 93, 252001 (2004);
e-Print archive:
hep-ph/0408249.
-
J. Collins, A. Perez, D. Sudarsky, L. Urrutia, and H. Vucetich,
"Lorentz invariance: an additional fine-tuning problem",
Phys.
Phys. Rev. Lett. 93, 191301 (2004);
gr-qc/0403053.
-
J.C. Collins, "What exactly is a parton density?"
Acta
Phys. Polon. B34, 3103 (2003);
e-Print archive:
hep-ph/0304122
-
J.C. Collins,
"Leading-twist Single-transverse-spin asymmetries: Drell-Yan and
Deep-Inelastic Scattering",
Phys. Lett. B536, 43 (2002);
e-Print archive:
hep-ph/0204004.
-
J.C. Collins and Jon Pumplin,
"Tests of goodness of fit to multiple data sets",
e-print archive:
hep-ph/0105207.
-
L. Alvero, J.C. Collins, J. Terron and J. Whitmore,
"Diffractive Hadronic Production of Jets and Weak Bosons",
Phys.
Rev. D59, 074022 (1999);
e-print archive:
hep-ph/9805268.
-
J.C. Collins, "Hard-scattering factorization with
heavy quarks: A general treatment",
Phys.
Rev. D 58, 094002 (1998);
e-print archive:
hep-ph/9806259.
-
J.C. Collins, L. Frankfurt and M. Strikman, "Factorization
for hard exclusive electroproduction of mesons in QCD",
Phys.
Rev. D56, 2982 (1997);
e-print archive:
hep-ph/9611433.
-
J.C. Collins, "The Problem of Scales: Renormalization
and All That", in "Theoretical Advanced Study Institute in Elementary
Particle Physics, 1995: QCD and Beyond", D.E. Soper, ed., (World
Scientific Singapore);
e-print archive:
hep-ph/9510276.
-
X. Artru and J.C. Collins, "Measuring transverse
spin correlations by 4-particle correlations in e^+ e^- to 2 jets'',
Z.
Phys. C. 69, 277 (1996);
e-print archive:
hep-ph/9504220.
-
J.C. Collins and D.E. Soper, "Issues in the Determination
of Parton Distribution Functions",
e-Print archive:
hep-ph/9411214.
-
CTEQ Collaboration, G. Sterman et al., "Handbook of Perturbative QCD",
Rev. Mod. Phys. 67, 157 (1995).
Updated version
Software
I have developed a number of programs
and other software,
notably latexmk.
Scottish Country Dancing and music
One of my pastimes is Scottish
country dancing.
For some of my musical activities, see also
Strath Hanna for my band,
and David Rosenbaum at 60 for a tune I've
composed.
John Collins,
jcc8@psu.edu,
12 November 2023.