Minister Ryan Wolfe spoke to PEOPLE about Jennifer Lopez and Ben Affleck's intimate

nuptials at A Little White Wedding Chapel in Las Vegas Saturday night

The minister who wed Jennifer Lopez and Ben Affleck is sharing sweet details about their intimate nuptials in Las Vegas.

While Wolfe was circumspect about the actual vows, he says "they had their

own words and they were beautiful words to each other."

It was an emotional moment they shared with one another," he adds. "You

can definitely see the love that they have for each other."

For the ceremony, Wolfe says Lopez and Affleck "wanted just a regular wedding."

She walked down the aisle to the regular 'Here Comes the Bride'

processional, and she had flowers and he had a boutonnière on," Wolfe says.