Most of Brown's work has involved quantum field theory applied to elementary particle physics, astrophysics, general relativity, plasma physics, atomic physics, and nuclear physics. His book "Quantum Field Theory" has been well received. Pierre Ramond's review in Science states that Brown's book is "marked by its astute choice of topics as well as by the clarity with which they are expounded, it is akin to a toolbox for students of modern quantum field theory... a very thorough and rare treatment...a very interesting and original textbook. I strongly recommend this book to whoever aspires to become either a particle or a condensed matter physicist." Brown's work on the interaction of intense laser beams with electrons is still cited forty or so years later. In astrophysics and general relativity, his work on the stress-energy tensor of various fields coupled to an arbitrary classical gravitational field is noteworthy: it uses the method of dimensional continuation and proper time representations, and with these methods, he computed the unique gravitational anomaly for scalar fields and the anomaly for vector fields. Brown and collaborators computed the energy-energy correlation in electron-positron annihilation, which provides one method of measuring the strong interactionQCDcoupling constant. Brown was the first to compute the stress-energy tensor between conducting planes. The stress tensor evaluated on a plane yields the Casimir force. He was the first to exhibit the classical limit of the hydrogen atom. He constructed large-quantum-number wave packets that slowly spread while moving in circular orbits. At the University of Washington, Hans Dehmelt captured single charged particles in very stable orbits in a Penning trap. This arrangement, called geonium, enabled measurement of the magnetic moment of the electron with exquisite precision for which Dehmelt won the Nobel Prize. Brown became fascinated with this new experimental procedure and with coworkers wrote many papers investigating the detailed workings of geonium. His work culminated in a long review article that has become a handbook for other experimenters who use a Penning trap. Brown also investigated plasma effects on nuclear fusion, wrote a paper applying field theory to plasma physics, obtained the non-leading corrections in plasma stopping power, and provided an effective field description for deuterium-tritium fusion.
Publications
Book
Cited articles
Professional society activities
Brown served on many committees of the American Physical Society and was the first academic Editor of Physical Review D. During his tenure, he was instrumental in incorporating author-prepared electronic manuscripts into the journal's editorial and publishing process, and he conceived and promoted an early version of the electronic status inquiry system for authors. Additional activities:
Los Alamos National Laboratory: Consultant ; Theoretical Division External Advisory Committee, Member
U.S. D.O.E. Technical Assessment Committee on University Programs, Chairman, Theoretical Physics Panel