PhD transfer application issue I'm currently a first-year PhD student in the US (in the middle of the first semester). However, I'm not satisfied with the program here and want to re-apply to other programs. While doing that, can I simply exclude the current PhD program in my CV?  Will it be a serious problem of credit? (I have not had any course grade, nor am I asking for recommendation letters from any professors here)
can I simply exclude the current PhD program in my CV?


No. Well, you shouldn't.

Listing your previous education and employment is a standard part of an application for a higher degree.  

The fact that you are currently enrolled in a PhD program is certainly information you would be reasonably expected to disclose, and not doing so will look dishonest if this is discovered later.

Keep in mind that it is not just an application form you have to worry about, but subsequent interviews, discussions with potential supervisors, etc.  Almost certainly, you will have to reveal this information to have honest conversations with people.  So either they will find out the information later, making it look like your application was dishonest (bad), or you will have to be repeatedly, systematically deceptive in how you portray your current situation (also bad).

Just don't do it.  Have your application honestly make the case of why you want to switch schools.