31. An bosonic string that produces a scalar field term into the effective theory at low energies. 32. For a scalar field theory with spacetime dimensions, the only dimensionless parameter satisfies = } }. 33. SU2 supports continius and discrete adjoint for calculating the sensitivitys / gradients of a scalar field . 34. Many of these use the paper to model the distribution of electric and other scalar fields . 35. A field can be classified as a scalar field , a vector field, a quantum operators respectively. 36. The field equation for a charged scalar field multiplies by, which means the field must be complex. 37. For a surface S in a scalar field u, the surface gradient is defined and notated as 38. When we vary with respect to the scalar field \ phi, we obtain the first field equation. 39. Therefore, in the ? coordinate the scalar field and the vector field are described by the functions 40. Contributions from scalar fields that are constant in space are usually also included in the cosmological constant.
