You could hack the css and shove the field contents around, but that just shifts the problem elsewhere.
I'm afraid that the real answer is that your "field names have to be meaningful" is wrong. Humans understand short field names and actually struggle to work with long ones, hence there's no need for huge field names. They very much appreciate short names being explained though - that's what field descriptions are for.
I have to agree with Nic, your fieldnames are way too long.
Maybe you can use this plugin : https://marketplace.atlassian.com/plugins/com.aevolu.jira.compass
You can use their context sensitive help to explain the field to the user (if necessary).
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