Villars was born in Biel, Switzerland and served in the Swiss Army during the Second World War, working as a meteorologist. In 1945, he graduated from the Swiss Federal Institute of Technology with degrees in physics and mathematics. His undergraduate thesis earned him the Institute's Kern Medal for Excellence. The following year, Villars earned his doctorate in physics from the same institution.[2]
From 1946 to 1949, Villars worked as a research assistant at the Swiss Federal Institute. While there, he collaborated with Wolfgang Pauli on work in quantum electrodynamics. They developed a method of dealing with mathematical singularities in quantum field theory, in order to extract finite physical results. This method, Pauli–Villars regularization, is used by physicists when working with field theory.
In 1950, Villars was hired as a research associate at MIT and eventually became a full professor in 1959. Along with Victor Weisskopf, he studied the scattering of radio waves owing to atmospheric turbulence. With Herman Feshbach, he studied the effect of the Earth's magnetic field on the ionosphere.
It was biology, however, that captured his imagination. Villars applied mathematical methods to studying the functioning of biological systems, yielding insights that had been missed by biologists and medical researchers who had been studying them for years.
Villars, Felix; George B. Benedek (2006). Physics with Illustrative Examples from Medicine and Biology: Electricity and Magnetism (second ed.). Springer Verlag. ISBN0-387-98770-3.
^Benedek, George B.; Villars, Felix M. H. (1974). "Book and Film Reviews, Preliminary Reviews: Physics: With Illustrative Examples from Medicine and Biology, Vol. 1 Mechanics by George B. Benedek and Felix M. H. Villars". The Physics Teacher. 12 (5): 320. Bibcode:1974PhTea..12..320B. doi:10.1119/1.2350408.