Mass Dimensions of Fields Explained

[preet0283]

what do we mean by mass dimensions ..? and if we r talking abt the general dimensions here then y s the term mass included here?
what is the mass dimension of the fields?(field here means the set of numbers at each point in space time )

 

[salsero]

If you work in units where c = 1 and h-bar = 1, all physical quantities can be described as having a dimension (unit) which is some power of the mass.

Examples:
Mass, energy, and momentum have a dimension of mass (i.e. mass dimension = 1).
Length and time have a dimension of 1/mass (i.e. mass dimension = -1).
Angular momentum is dimensionless (i.e., mass dimension = 0).

 

[R0man]

Mass dimensions refer to the units of measurement used to describe the magnitude of a physical quantity. In the context of fields, mass dimensions refer to the units used to measure the strength or intensity of the field at a particular point in space and time.

The term "mass" is included in the concept of mass dimensions because it is a fundamental physical quantity that is closely related to the strength of a field. For example, in the theory of gravitation, the strength of the gravitational field at a point is determined by the mass of the objects present at that point. Similarly, in electromagnetism, the strength of the electric field at a point is determined by the charge of the particles present at that point.

The mass dimension of a field is determined by its physical properties and the units used to measure it. For example, the mass dimension of the electric field is determined by the units of electric charge and distance. The mass dimension of the gravitational field is determined by the units of mass and distance.

In summary, mass dimensions play an important role in describing and understanding the strength and intensity of fields. The inclusion of the term "mass" in the concept of mass dimensions is due to the close relationship between mass and the strength of a field.