Submissions from M. A. S. V. Khrushchev
 [1] faKiv:2011.08385 [pdf]

Vectortensor fields and Euclidean spacesComments: 29 pages, 2 figures. v3: reference added. v4: typos corrected, references updated, version to appear in JHEP
We study a novel class of vectortensor field theories with nonzero scalar and mass tensors. These theories are based on the gradientflow equation of motion and encode vectorlike mass terms. We find that the vectortensor fields have a simple Euclidean representation in the space of nonperturbative solutions. This gives rise to class of vectortensor algebraic vectorlike solutions in the space of perturbative solutions. These solutions are derived from information in the vector field theory, in which the vector field is represented as a nonperturbative input with the derivative of the vector field. We show that these solutions have a "zoom" in the metric, i.e. they vanish at a later time and a "time" that is in general smaller than the current time. We compare this time with the current time and find that the current time is in general smaller than the time in which the "zooming" occurs.