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Stuart Samuel is a theoretical physicist known for his work on the
speed of gravity In classical theories of gravitation, the changes in a gravitational field propagate. A change in the distribution of energy and momentum of matter results in subsequent alteration, at a distance, of the gravitational field which it produces. In ...
and for his work with
Alan Kostelecký V. Alan Kostelecký is a theoretical physicist who is a distinguished professor of physics at Indiana University, Bloomington. He is noted for his work on Lorentz symmetry breaking in particle physics. He has been described as the world's leadin ...
on spontaneous Lorentz violation in
string theory In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interac ...
, now called the Bumblebee model. He also made significant contributions in field theory and particle physics. Samuel graduated from Princeton University with a Bachelor of Arts in mathematics in 1975, and in 1979, he graduated from the UC Berkeley, with a Doctor of Philosophy in physics. He was formerly a member of the Institute for Advanced Study at Princeton, a professor of physics at Columbia University, and a professor of physics at
City College of New York The City College of the City University of New York (also known as the City College of New York, or simply City College or CCNY) is a public university within the City University of New York (CUNY) system in New York City. Founded in 1847, Cit ...
.


Earlier work

In early work, Samuel used particle field theory methods to obtain results in
statistical mechanics In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. It does not assume or postulate any natural laws, but explains the macroscopic be ...
. In particular, Samuel uncovered a particularly simple way to solve the two-dimensional Ising model. It was shown to be equivalent to a non-interacting field theory of fermionic-like particles. This allowed a rapid computation of the partition function and
correlation functions The cross-correlation matrix of two random vectors is a matrix containing as elements the cross-correlations of all pairs of elements of the random vectors. The cross-correlation matrix is used in various digital signal processing algorithms. D ...
. Samuel went on to treat certain interacting statistical mechanics systems using perturbative field theory.


Scalar lattice QCD

In 1985, Samuel and co-worker K.J.M. Moriarty were among the first to obtain a reasonably accurate computation of the hadron mass spectrum using computer simulations of lattice quantum chromodynamics (QCD). They overcame the difficulties that other theorists were encountering at the time by making an approximation: They replaced the
spin 1/2 In quantum mechanics, spin is an intrinsic property of all elementary particles. All known fermions, the particles that constitute ordinary matter, have a spin of . The spin number describes how many symmetrical facets a particle has in one full ...
,
fermion In particle physics, a fermion is a particle that follows Fermi–Dirac statistics. Generally, it has a half-odd-integer spin: spin , spin , etc. In addition, these particles obey the Pauli exclusion principle. Fermions include all quarks an ...
ic quarks with spin zero scalar particles and corrected for this approximation by treating the spin degrees of freedom using perturbation theory. There were three advantages to doing this: (i)
scalar Scalar may refer to: *Scalar (mathematics), an element of a field, which is used to define a vector space, usually the field of real numbers * Scalar (physics), a physical quantity that can be described by a single element of a number field such ...
quarks required less computer memory, (ii) simulations using scalar
quark A quark () is a type of elementary particle and a fundamental constituent of matter. Quarks combine to form composite particles called hadrons, the most stable of which are protons and neutrons, the components of atomic nuclei. All commonly o ...
s required less computer time, and (iii) it avoided the fermion doubling problem. Their lattice QCD computation of the meson mass spectrum agreed well with the one in nature with the exception of the pion mass, where it is known that treating spin perturbatively is not a good approximation due to approximate spontaneous breaking of chiral symmetry. The lattice computation of the baryon spectrum was equally impressive. Samuel and Moriarty went on to make mass predictions for hadrons involving the bottom quark that had not yet been produced in accelerators. These predictions were later confirmed except for the one for the baryon.


Supersymmetry work

Samuel's most important work in
supersymmetry In a supersymmetric theory the equations for force and the equations for matter are identical. In theoretical and mathematical physics, any theory with this property has the principle of supersymmetry (SUSY). Dozens of supersymmetric theories e ...
arose in a collaboration with the theorist
Julius Wess Julius Erich Wess (5 December 19348 August 2007) was an Austrian theoretical physicist noted as the co-inventor of the Wess–Zumino model and Wess–Zumino–Witten model in the field of supersymmetry and conformal field theory. He was also a ...
in a publication called "Secret Supersymmetery." In this work, the two physicists constructed an effective low-energy theory of the supersymmetric generalization of the
Standard Model The Standard Model of particle physics is the theory describing three of the four known fundamental forces (electromagnetism, electromagnetic, weak interaction, weak and strong interactions - excluding gravity) in the universe and classifying a ...
of particle physics for the situation in which supersymmetry is
spontaneously broken Spontaneous symmetry breaking is a spontaneous process of symmetry breaking, by which a physical system in a symmetric state spontaneously ends up in an asymmetric state. In particular, it can describe systems where the equations of motion or the ...
. The main conclusion was: Although there may be few low-energy manifestations of spontaneously broken supersymmetry, there should be at least one charged Higgs field and two neutral Higgs fields beyond the usual neutral one of the Standard Model. All supersymmetric extensions of the Standard Model have these extra spin-0 boson particles. The important conclusion is that if additional Higgs particles are discovered in nature then it is suggestive of an underlying supersymmetric structure even if the supersymmetric partners of the particles in the Standard Model are not observed experimentally.


String theory work

Samuel's most important contribution in
string theory In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interac ...
was the development of off-shell conformal field theory. This allowed the computation of the scattering of string states when the on-shell condition E = mc + pc is analytically continued so that it no longer holds. The
off-shell In physics, particularly in quantum field theory, configurations of a physical system that satisfy classical equations of motion are called "on the mass shell" or simply more often on shell; while those that do not are called "off the mass shell" ...
extension of string scattering amplitudes was thought to be impossible because of a
no-go theorem In theoretical physics, a no-go theorem is a theorem that states that a particular situation is not physically possible. Specifically, the term describes results in quantum mechanics like Bell's theorem and the Kochen–Specker theorem that cons ...
. However, Samuel was able to use Witten's version of string field theory to achieve this result. One of the assumptions of the "no-go" theorem was avoided (the use of an infinite number of ghost states).


Bosonic technicolor

Samuel is the creator of bosonic technicolor. Two approaches to solving to the
hierarchy problem In theoretical physics, the hierarchy problem is the problem concerning the large discrepancy between aspects of the weak force and gravity. There is no scientific consensus on why, for example, the weak force is 1024 times stronger than gravit ...
are technicolor and
supersymmetry In a supersymmetric theory the equations for force and the equations for matter are identical. In theoretical and mathematical physics, any theory with this property has the principle of supersymmetry (SUSY). Dozens of supersymmetric theories e ...
. The former has difficulties with flavor-changing neutral currents and light
pseudo-Goldstone boson In particle physics, chiral symmetry breaking is the spontaneous symmetry breaking of a chiral symmetry – usually by a gauge theory such as quantum chromodynamics, the quantum field theory of the strong interaction. Yoichiro Nambu was award ...
s, while the latter predicts superpartner particles that have not been currently observed. Bosonic technicolor is a supersymmetric version of technicolor that eliminates the difficulties that technicolor and supersymmetry have separately. In this model, the masses of superpartners can be about two orders of magnitude higher than in usual supersymmetry extensions of the standard model.


Neutrino oscillations in dense neutrino gases

Because neutrinos have masses, the three flavors of neutrinos ( electron neutrino , muon neutrino and tau neutrino ) change into each other and back, a phenomenon called neutrino oscillations. When one has a dense gas of neutrinos, it is not straightforward to determine how neutrino oscillations behave. This is because the oscillation of a single neutrino in the gas depends on the flavors of the neutrinos nearby, and the oscillation of the nearby neutrinos depend on the flavor of that single neutrino (and of other individual nearby neutrinos). Samuel was the first to develop a self-consistent formalism to address this. He observed a number of interesting phenomena that can occur in such systems including a self-induced Mikheyev–Smirnov–Wolfenstein effect and a parametric resonant conversion. Samuel and colleague
Alan Kostelecký V. Alan Kostelecký is a theoretical physicist who is a distinguished professor of physics at Indiana University, Bloomington. He is noted for his work on Lorentz symmetry breaking in particle physics. He has been described as the world's leadin ...
have used Samuel's formalism to analyze neutrino oscillations in the
early universe The chronology of the universe describes the history and future of the universe according to Big Bang cosmology. Research published in 2015 estimates the earliest stages of the universe's existence as taking place 13.8 billion years ago, wit ...
.


Awards and prizes

Samuel has received a number of awards for his research including a Control Data Corporation PACER Award (with Dr. K. M. Moriarty) for outstanding computer programming, an Alexander von Humboldt Fellowship, and the Chester–Davis Prize (from Indiana University). He was one of 90 scientists in 1984 to be honored as an Alfred P. Sloan Research Recipient.


References


External links


INSPIRE's list of Samuel's physics papers
{{DEFAULTSORT:Samuel, Stuart 21st-century American physicists Theoretical physicists Particle physicists Princeton University alumni Living people Year of birth missing (living people)