Politzer was born in New York City. He graduated from the Bronx High School of Science in 1966, received his bachelor's degree from the University of Michigan in 1969, and his Ph.D. in 1974 from Harvard University, where his graduate advisor was Sidney Coleman. In his first published article, which appeared in 1973, Politzer described the phenomenon of asymptotic freedom: the closer quarks are to each other, the weaker the strong interaction, given by the color charge, will be between them. When quarks are in extreme proximity, the nuclear force between them is so weak that they behave almost like free particles. This result -- independently discovered at around the same time by David Gross and Frank Wilczek at Princeton University -- was extremely important in the development of quantum chromodynamics, the theory of the strong nuclear interactions.
With Thomas Appelquist, Politzer also played a central role in predicting the existence of "charmonium," an elementary particle made by a charm quark and its anti-particle. Experimentalists called this the "J/Ψ particle."
Politzer, H. David (1973), "Reliable Perturbative Results for Strong Interactions?", Physical Review Letters30(26): 1346-1349, doi:0.1103/PhysRevLett.30.1346
H. D. Politzer, “Asymptotic Freedom: An Approach to Strong Interactions”, Phys. Rep. 14 129 (1974).