Relativistic Quantum Field Theory, Volume 3: Applications of quantum field theory by Michael Strickland

Relativistic Quantum Field Theory, Volume 3: Applications of quantum field theory by Michael Strickland

Author:Michael Strickland
Language: eng
Format: epub
ISBN: 9781643277622
Publisher: IOP Publishing
Published: 2019-11-14T16:00:00+00:00


To proceed, we decompose the complex field into radial and phase oscillations as

(3.56)

In this case, the derivatives of ϕ() will generate additional terms in the resulting Lagrangian; however, these can be absorbed into a field redefinition (gauge transformation)

(3.57)

Combining the expansion with this gauge transformation, one finds

(3.58)

The particle spectrum of this theory contains:

A massive scalar field ‘H’ (Higgs field) of mass [second term in (3.58)].

A Goldstone field that has been ‘absorbed’ or ‘eaten’ by [no terms involving ξ or remain in (3.58)].



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