This NASA research paper on H2 engines includes a diagram of Wesley Kuhrt's 1956 design for a hydrogen-fuelled engine, which has no heat exchanger:
(Image by United Technologies Corporation, via NASA.)
But, later on, it also has two diagrams showing hydrogen-fuelled engines with heat exchangers for warming the hydrogen before use; first, a Pratt & Whitney JT3C (J57) modified to burn hydrogen instead of kerosene:
(Image by Pratt & Whitney, via NASA.)
followed by the Pratt & Whitney 304, an engine designed from the start to run on hydrogen:
(Image by Pratt & Whitney, via NASA.)
In a jet engine using liquid hydrogen for fuel, does the hydrogen have to be warmed (presumably using a heat exchanger) and converted to a gas before it can be introduced into the combustion chamber, or can it be pumped in and burned straight as a liquid?