Abstract:
Generalized Ward–Takahashi identities are obtained for gauge theories of the type of the
massless Yang–Mills field. It is shown that all the divergences of the Yang–Mills theory
can be removed by means of a renormalization of the charge and the wave function.
This publication is cited in the following 489 articles:
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Bruno El-Bennich, “Gauge Covariance of the Gap Equation: From the Rainbow Truncation to Gauge Symmetry Constraints”, Symmetry, 17:1 (2025), 110
Aleksandr Mikheev, Viktoria Noel, Ido Siovitz, Helmut Strobel, Markus Oberthaler, Jürgen Berges, None None, “Extracting the symmetries of nonequilibrium quantum many-body systems”, SciPost Phys., 18:2 (2025)
Maryam Pakpour, Amir H. Darooneh, Mohammad Mahmoudi, “Quantum and classical dynamics comparison: A way for selecting the vector potential across diverse frames”, Heliyon, 11:4 (2025), e42718
Anam Ashraf, M. Jamil Aslam, Faisal Akram, Adnan Bashir, “Landau-Khalatnikov-Fradkin transformations in quantum electrodynamics: For perturbation theory and dynamical mass generation”, Phys. Rev. D, 111:3 (2025)
Christoph Englert, Wrishik Naskar, Michael Spannowsky, “Impact of new physics on momentum-dependent particle widths and propagators”, Phys. Rev. D, 111:5 (2025)
J. A. Gracey, “Four loop renormalization of QCD in the Curci-Ferrari gauge”, Phys. Rev. D, 111:6 (2025)
D. G. C. McKeon, F. T. Brandt, S. Martins-Filho, “Field redefinition invariant Lagrange multiplier formalism with gauge symmetries”, Eur. Phys. J. C, 84:4 (2024)
J. A. Gracey, “Explicit no-
π2
renormalization schemes in QCD at five loops”, Phys. Rev. D, 109:3 (2024)
F.T. Brandt, J. Frenkel, S. Martins-Filho, D.G.C. McKeon, “Quantization of Einstein–Cartan theory in the first order form”, Annals of Physics, 462 (2024), 169607
Alexandre Deur, Stanley J. Brodsky, Craig D. Roberts, “QCD running couplings and effective charges”, Progress in Particle and Nuclear Physics, 134 (2024), 104081
Paul-Hermann Balduf, Springer Theses, Dyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory, 2024, 275
Susobhan Mandal, “Ward identities under the frame transformations in curved space-time”, Commun. Theor. Phys., 76:9 (2024), 095406
A. C. Aguilar, M. N. Ferreira, J. Papavassiliou, L. R. Santos, “Four-gluon vertex in collinear kinematics”, Eur. Phys. J. C, 84:7 (2024)
M. Gomes, A. C. Lehum, A. J. da Silva, “Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory”, Phys. Rev. D, 110:6 (2024)
Renata Ferrero, Markus B. Fröb, William C. C. Lima, “Heat kernel coefficients for massive gravity”, Journal of Mathematical Physics, 65:8 (2024)
Héctor Novales-Sánchez, Mónica Salinas, Humberto Vázquez-Castro, “One-loop contributions to
WWZ
from a seesaw variant with radiatively induced light neutrino masses”, Phys. Rev. D, 110:3 (2024)
Jan M. Pawlowski, Manuel Reichert, Handbook of Quantum Gravity, 2024, 1
M. N. Ferreira, J. Papavassiliou, “Nonlinear Schwinger mechanism in QCD, and Fredholm alternatives theorem”, Eur. Phys. J. C, 84:8 (2024)
J. Alejandro Alfaro, L. X. Gutiérrez-Guerrero, Luis Albino, Alfredo Raya, “Perturbative Analysis of the Three Gluon Vertex in Different Gauges at One-Loop”, Few-Body Syst, 65:4 (2024)