Robert Mills (physicist)
Encyclopedia
Robert L. Mills was a physicist
Physicist
A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many branches of physics spanning all length scales: from sub-atomic particles of which all ordinary matter is made to the behavior of the material Universe as a whole...

, specializing in quantum field theory
Quantum field theory
Quantum field theory provides a theoretical framework for constructing quantum mechanical models of systems classically parametrized by an infinite number of dynamical degrees of freedom, that is, fields and many-body systems. It is the natural and quantitative language of particle physics and...

, the theory of alloy
Alloy
An alloy is a mixture or metallic solid solution composed of two or more elements. Complete solid solution alloys give single solid phase microstructure, while partial solutions give two or more phases that may or may not be homogeneous in distribution, depending on thermal history...

s, and many-body theory
Many-body theory
The many-body theory is an area of physics which provides the framework for understanding the collective behavior of vast assemblies of interacting particles. In general terms, the many-body theory deals with effects that manifest themselves only in systems containing large numbers of constituents...

. While sharing an office at Brookhaven National Laboratory
Brookhaven National Laboratory
Brookhaven National Laboratory , is a United States national laboratory located in Upton, New York on Long Island, and was formally established in 1947 at the site of Camp Upton, a former U.S. Army base...

, in 1954, Chen Ning Yang and Mills proposed a tensor
Tensor
Tensors are geometric objects that describe linear relations between vectors, scalars, and other tensors. Elementary examples include the dot product, the cross product, and linear maps. Vectors and scalars themselves are also tensors. A tensor can be represented as a multi-dimensional array of...

 equation for what are now called Yang-Mills fields. This equation reduces to Maxwell's Equations
Maxwell's equations
Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electrodynamics, classical optics, and electric circuits. These fields in turn underlie modern electrical and communications technologies.Maxwell's equations...

 as a special case; see gauge theory
Gauge theory
In physics, gauge invariance is the property of a field theory in which different configurations of the underlying fundamental but unobservable fields result in identical observable quantities. A theory with such a property is called a gauge theory...

..

Biography

Mills was born in Englewood
Englewood, New Jersey
Englewood is a city located in Bergen County, New Jersey. As of the 2010 United States Census, the city had a total population of 27,147.Englewood was incorporated as a city by an Act of the New Jersey Legislature on March 17, 1899, from portions of Ridgefield Township and the remaining portions of...

, New Jersey
New Jersey
New Jersey is a state in the Northeastern and Middle Atlantic regions of the United States. , its population was 8,791,894. It is bordered on the north and east by the state of New York, on the southeast and south by the Atlantic Ocean, on the west by Pennsylvania and on the southwest by Delaware...

, and graduated from George School
George School
George School is a private Quaker boarding and day high school located on a rural campus near Newtown, Pennsylvania, USA. It was founded at its present site in 1893, and has grown from a single building to over 20 academic, athletic, and residential buildings...

. He studied at Columbia College
Columbia College of Columbia University
Columbia College is the oldest undergraduate college at Columbia University, situated on the university's main campus in Morningside Heights in the borough of Manhattan in New York City. It was founded in 1754 by the Church of England as King's College, receiving a Royal Charter from King George II...

 from 1944 to 1948, while on leave from the Coast Guard. Mills demonstrated his mathematical ability by winning the William Lowell Putnam Mathematical Competition
William Lowell Putnam Mathematical Competition
The William Lowell Putnam Mathematical Competition, often abbreviated to the Putnam Competition, is an annual mathematics competition for undergraduate college students of the United States and Canada, awarding scholarships and cash prizes ranging from $250 to $2,500 for the top students and $5,000...

 in 1948, and by receiving first-class honors in the Tripos
Tripos
The University of Cambridge, England, divides the different kinds of honours bachelor's degree by Tripos , plural Triposes. The word has an obscure etymology, but may be traced to the three-legged stool candidates once used to sit on when taking oral examinations...

. He earned a master's degree from Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

, and a Ph.D. in Physics under Norman Kroll, from Columbia University
Columbia University
Columbia University in the City of New York is a private, Ivy League university in Manhattan, New York City. Columbia is the oldest institution of higher learning in the state of New York, the fifth oldest in the United States, and one of the country's nine Colonial Colleges founded before the...

 in 1955. After a year at the Institute for Advanced Study
Institute for Advanced Study
The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...

 in Princeton
Princeton Township, New Jersey
Also Princeton Borough is an independent municipality completely surrounded by the township.Princeton North is a census-designated place and unincorporated area located within Princeton Township....

, New Jersey, Mills became Professor of Physics at Ohio State University
Ohio State University
The Ohio State University, commonly referred to as Ohio State, is a public research university located in Columbus, Ohio. It was originally founded in 1870 as a land-grant university and is currently the third largest university campus in the United States...

 in 1956. He remained at Ohio State University
Ohio State University
The Ohio State University, commonly referred to as Ohio State, is a public research university located in Columbus, Ohio. It was originally founded in 1870 as a land-grant university and is currently the third largest university campus in the United States...

 till his retirement in 1995.

Mills and Yang shared the 1980 Rumford Premium Prize from the American Academy of Arts and Sciences
American Academy of Arts and Sciences
The American Academy of Arts and Sciences is an independent policy research center that conducts multidisciplinary studies of complex and emerging problems. The Academy’s elected members are leaders in the academic disciplines, the arts, business, and public affairs.James Bowdoin, John Adams, and...

 for their "development of a generalized gauge invariant field theory" in 1954.

Personal life

Robert Mills was married to Elise Ackley in 1948. Together they had sons Edward and Jonathan, and daughters Katherine, Susan, and Dorothy. The Mills family lived for many years in Columbus, Ohio
Columbus, Ohio
Columbus is the capital of and the largest city in the U.S. state of Ohio. The broader metropolitan area encompasses several counties and is the third largest in Ohio behind those of Cleveland and Cincinnati. Columbus is the third largest city in the American Midwest, and the fifteenth largest city...

 during Mills' tenure as professor at Ohio State University
Ohio State University
The Ohio State University, commonly referred to as Ohio State, is a public research university located in Columbus, Ohio. It was originally founded in 1870 as a land-grant university and is currently the third largest university campus in the United States...

. The family also spent considerable time during the summer and winter breaks at their property on Echo Lake in Charleston, Vermont
Charleston, Vermont
Charleston is a town in Orleans County, Vermont, United States. The population was 895 at the 2000 census. The town contains three unincorporated villages: Charleston, East Charleston and West Charleston.-Town:* Selectman - Tom Jensen...

. Robert opted to live out his final months at their residence there.
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