Renormalization of non-semisimple gauge models with the background field method

1999/08/28 by Pietro Antonio Grassi · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1016/s0550-3213(99)00457-5

published as Nucl.Phys.B560:499-550,1999 · 46 pages, Latex2e, to appear in Nucl. Phys. B

arxiv created 1999/08/28 · openalex publication_date 1999/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the renormalization of non-semisimple gauge models quantized in the `t Hooft-background gauge to all orders. We analyze the normalization conditions for masses and couplings compatible with the Slavnov-Taylor and Ward-Takahashi Identities and with the IR constraints. We take into account both the problem of renormalization of CKM matrix elements and the problem of CP violation and we show that the Background Field Method (BFM) provides proper normalization conditions for fermion, scalar and gauge field mixings. We discuss the hard and the soft anomalies of the Slavnov-Taylor Identities and the conditions under which they are absent.

Citations

• Anomalous Ward Identities in Spinor Field Theories
• Axial-Vector Vertex in Spinor Electrodynamics
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Partial-symmetries of weak interactions

Cited by

• The algebra of physical observables in non-linearly realized gauge theories
• Electroweak precision observables in the minimal supersymmetric standard model
• Width and partial widths of unstable particles in the light of the Nielsen identities
• An Equivalent Gauge and the Equivalence Theorem
• Renormalization of vacuum expectation values in spontaneously broken gauge theories