You can not. Jira does not do field level security (in the interests of openness, sharing and because it's quite hard for little reward).
There is an add on by QuisApps, called "field security" which does it properly.
It actually makes life hard, as you end up with people having different views of issues and talking cross-puprose because they are missing information the other can see.
Edit access is possible, but not by screen, it's done by project. You can grant (or not) "edit" access to the issues within a project in the permission scheme, which allows you to do it by group, role (strongly recommended), participant type (assignee, reporter, etc), fields, and so-on. To get very clever, you can also modify it further by using "workflow properties"
View access is done in even more layers. You grant "browse" access to users in the permission scheme. You can modify that with "workflow properties" (but this is clunky and usually doesn't do what you need or expect), and "issue security" which does work exactly the way you expect. (Set a security level field, and the issue is limited to view by only the people who match the rule for that level)
Hey team! I'm Cameron Deatsch, Head of Server at Atlassian. I'll be hosting an AMA over in our Questions section of the Community next Monday, so shoot me your questions, upvote others' question...
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