21. It corresponds to the space of massive scalar fields . 22. Physically, a scalar field is additionally distinguished by having units of measurement associated with it. 23. Depending on the representation of the scalar field , not every gauge field acquires a mass. 24. They assumed quarks getting huge masses from their interaction with a scalar field \ sigma. 25. These fields are the subject of scalar field theory. 26. See Scalar field theory for a bit more information. 27. Laplace's equation imposes that the divergence of the gradient of a scalar field is zero. 28. The electric potential is a scalar field , while the magnetic potential is a vector field. 29. Spherical harmonics can represent any scalar field ( function of position ) that satisfies certain properties. 30. The solutions to ( ) are scalar fields .