Spontaneously broken gauge theory in a gauge-independent path-dependent formalism

Journal Article · Tue Aug 15 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.1230· OSTI ID:6679919

Naito, S; Akahori, S

In a gauge-independent path-dependent formalism, we quantize a local SO(3) gauge-invariant theory in which the triplet gauge bosons A/sup ..cap alpha..//sub ..mu../(..cap alpha.. = 1,2,3) are interacting with a triplet of real scalar fields phi/sup ..cap alpha../ (..cap alpha.. = 1,2,3). Especially in R/sub xi/ gauges, we investigate the spontaneously broken case, by incorporating the boundary conditions for the Green's functions. Feynman rules for the Green's functions are derived and found to be the same as those prescribed by 't Hooft. Furthermore, we obtain the result of Lee and Zinn-Justin that Ward-Takahashi identities are the same for both symmetric and spontaneously broken cases. With the help of these identities and the massiveness of the Higgs particle, we can prove the gauge independence of the S matrix.

• Research Organization: Department of Physics, Osaka City University, Sumiyoshiku, Osaka, Japan
• OSTI ID: 6679919
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:4; 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
BOUNDARY CONDITIONS
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HIGGS MODEL
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATRICES
PARTICLE MODELS
S MATRIX
SCALAR FIELDS
SO GROUPS
SO-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
WARD IDENTITY