Form factor (Quantum Field Theory)

Form factor (Quantum Field Theory)

In effective field theory, a "form factor" is a function which gives the properties of a certain particle interaction without including all of the underlying physics. It is measured experimentally when a theoretical calculation is unavailable or too difficult.

For example, at low energies the interaction of a photon with a nucleon is a very complicated calculation involving interactions between the photon and a sea of quarks and gluons, and often the calculation cannot be done.

However the general form of the interaction is known,

epsilon_{mu} N(alpha(q^2) gamma^{mu} + eta(q^2) q^{mu} + kappa(q^2) sigma^{mu u} gamma_{ u} )N

where q^{mu} represents the photon momentum. The three functions, alpha, eta , kappa , can be measured experimentally, and then the three effective vertices can be used to perform calculations that would otherwise be too difficult.


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