VMA of processes and CPU registers

Hi all, I know that each user processes has a number of virtual memory areas (VMA) which consist its (virtual memory) address space. For example cat /proc/1426/maps will return the (virtual memory) address space of the process 1426. What I don't know for sure is if the actual CPU registers contain the virtual address of a running process or the "translated" by MMU physical address. I think that every access to a VA must be resolved to a corresponding PA so I guess the CPU registers will deal with the physical addresses rather than the virtual ones but I wanted to be sure about it. Thank you all for your help. John K.