Ultrarelativistic hadrons as cosmic membranes in $\text{TeV}$-gravity models

We regard an ultrarelativistic hadron moving on a brane embedded in a higher-dimensional space–time as a membrane propagating on a three-brane. For hadron sizes exceeding the compactification radius and characteristic scales of five-dimensional gravitational interaction, this membrane can be regarded as a cosmic membrane in the sense that it extends to the infinities. In the five-dimensional case, a cosmic membrane produces a topological defect similar to the defect produced by a cosmic string in the four-dimensional space–time. This representation allows calculating the effects of the influence of the hadron mass on the gravitational interaction of partons belonging to the colliding hadrons.