I did my PhD 4 years ago. I was not comfortable with my guide but I concentrated on my work, and I successfully completed the PhD. But I published a little work with his name as correspondence author. But now I am in good position in another country, so I need to publish my PhD work without his name as co-author. If I publish a paper of my PhD work without my supervisor's name, what will be happen? Are there any legal problems that will be raised?
Welcome to SE! To answer your question you have left (at least) 2 things unanswered:
Has your supervisor contributed to your work? (How contribution is measured depends on the field you are working in, it could be through "real" intellectual contribution, feedback, funding, ...)
Why do you need to publish without his name as a co-author?
If he has contributed to your work, there are several legal and other problems, e.g., fraud or copyright infringement.
So, if you are sure that he has not contributed in any way to your thesis (which is unlikely) then you are fine to publish on your own. Otherwise you should talk to him and ask him if he thinks he has made a significant contribution and wants to be your co-author.