Jennifer Lopez Break Down Not About Marc Anthony

During part of her performance at Mohegan Sun in Connecticut -- when she sang "Until It Beats No More" -- several dancers dressed as men from her past ... like Diddy, Cris Judd, and Ben Affleck ... and Jennifer teared up, telling the crowd, "I took a trip down memory lane."

But sources tell TMZ, Jennifer is claiming it wasn't her exes who brought her to tears ... it was a picture of the singer and her babies that was displayed on the jumbo-tron during her performance.