James, playing his first league match in 2022, twisted and turned to create space in the penalty area before firing a low shot into the far corner.
Havertz, preferred up front to Romelu Lukaku, headed in Pulisic’s cross in the 53rd then bundled in a cross from James two minutes later.
A shellshocked Burnley conceded a fourth, in the 69th, when a cross from the left was diverted into the path of Pulisic, who was standing right in front of goal. The American had the simple task of converting the loose ball into the corner.
Chelsea consolidated third place, moving six points ahead of Manchester United in fourth.
Burnley stayed in third-to-last place.