why was the cold war called by this name?

7.2.1 'Death Machine' (Dead Ops Arcade 3).6.1 Accuracy International PM/AW Hybrid.The following weapons appear in the video game Call of Duty: Black Ops Cold War:

The player character is a new, customizable operative codenamed 'Bell', who is part of a CIA task force, including Alex Mason, Frank Woods, and Jason Hudson, out to stop a Soviet agent codenamed 'Perseus' (based on the real-life conspiracy) from carrying out a decades-long plan that could radically alter the balance of power of the Cold War. The campaign's setting takes place primarily in 1981 with several flashbacks dating to 1968 during the Vietnam War, and the zombies and multiplayer mode take place simultaneously in 1984, hence, certain weapons are available in these modes that aren't present in the campaign because of the time difference.

Like previous games in the series, it is composed of three main modes of play, a single-player campaign, a player-vs-player multiplayer mode, and a 1-4 player cooperative zombies mode. It is also a direct sequel to Call of Duty: Black Ops. It is the sixth game in the Black Ops series and the seventeenth in the Call of Duty series. Call of Duty: Black Ops Cold War is a first-person shooter developed by Treyarch and Raven Software and published by Activision.

Why was the cold war called by this name?