Field theory of massive vector bosons in a model with spontaneously broken symmetry

Journal Article · Tue Jan 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.368· OSTI ID:5755711

Haller, K; Bishop, G

We study the spectrum of particle states for a charged scalar field interacting with an electromagnetic field in the Lorentz gauge. The Lagrangian contains the quartic self-coupling and imaginary-mass terms that give the scalar field a nonvanishing vacuum expectation value, and the symmetry of the model is spontaneously broken. We identify the massive vector boson and demonstrate that our identification is consistent by showing that the transverse and zero-helicity modes transform correctly among themselves in a Lorentz transformation. We show that each of the helicity modes obeys the Gupta-Bleuler subsidiary condition. We identify the Proca field contained in the theory.

• Research Organization: Department of Physics, University of Connecticut, Storrs, Connecticut 06268
• OSTI ID: 5755711
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELECTROMAGNETIC FIELDS
ELEMENTARY PARTICLES
EXPECTATION VALUE
FIELD THEORIES
FUNCTIONS
HADRONS
HELICITY
LAGRANGIAN FUNCTION
LORENTZ TRANSFORMATIONS
MESON RESONANCES
MESON SPECTROSCOPY
MESONS
PARTICLE PROPERTIES
RESONANCE PARTICLES
SCALAR FIELDS
SPECTROSCOPY
SYMMETRY BREAKING
TRANSFORMATIONS
VACUUM STATES
VECTOR MESONS