Dimensional renorinalization : The number of dimensions as a regularizing parameter

1972/11/01 by C. G. Bollini, J. J. Giambiagi · 835 citations
Mathematics · Physics and Astronomy · #Analytic function #Applied mathematics #Dimensional regularization #Gauge theory #Laser-Plasma Interactions and Diagnostics #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Mechanical and Optical Resonators #Physics #Quantum Electrodynamics and Casimir Effect #Regularization (linguistics) #Renormalization

paper · doi:10.1007/bf02895558

published in Il Nuovo Cimento B 12(1), 20-26 (Springer Science and Business Media LLC)

crossref issued 1972/11/01 · crossref published 1972/11/01 · crossref published-print 1972/11/01 · openalex publication_date 1972/11/01 · crossref published-online 2008/04/24 · crossref created 2022/02/15 · crossref deposited 2022/02/15 · openalex created_date 2025/10/10 · crossref indexed 2026/07/24 · openalex updated_date 2026/07/25

Cited by

• Two-loop QCD corrections to the helicity amplitudes for H → 3 partons
• HYPERDIRE—HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella functionFCof three variables
• Perturbative QCD as a quantitative tool in the years 1976-2000
• Combinatorics in tensor-integral reduction
• When infinity stopped being embarrassing: The doubly infinite series of Pierre Alphonse Laurent and the mathematical rehabilitation of singularities
• Bare effective potential and Goldstone boson anti-resummation
• Automation of electroweak corrections for LHC processes
• Locally-finite quantities in sYM
• Order-α2 corrections to one-particle inclusive processes in DIS
• Reduction of ε-expanded Feynman integrals
• Weak Adiabatic Limit in Quantum Field Theories with Massless Particles
• Geometry and field theory in multi-fractional spacetime
• Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
• Electroweak precision observables in the minimal supersymmetric standard model
• Three-gluon vertex in arbitrary gauge and dimension
• General scalar renormalisation group equations at three-loop order
• The triple collinear limit of one-loop QCD amplitudes
• Tensor reduction of two-loop vacuum diagrams and projectors for expanding three-point functions
• Continuous nonperturbative regularization of QED
• Theory of inclusive B decays
• Excited fermion contribution to Z0 physics at one loop
• Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances
• N = 4 supersymmetric Yang-Mills thermodynamics to order λ2
• Two-loop QCD helicity amplitudes for massless quark-quark scattering
• The NSVZ β-function and the Schwinger-Dyson equations for N N = 1 SQED with N f flavors, regularized by higher derivatives
• Casimir effect in Snyder space
• Properties of size-dependent models having quasiperiodic boundary conditions
• Twenty years of the Weyl anomaly
• Four-loop renormalization with a cutoff in a sextic model
• Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings
• Double collinear splitting amplitudes at next-to-leading order
• Squark production and decay matched with parton showers at NLO
• Dimensional regularization [wikipedia]