Аннотация:
Дано обобщение уравнений ренормгруппы на теории с лагранжианом
произвольного вида, включая неперенормируемые взаимодействия.
В рамках размерной регуляризации полученные уравнения позволяют
определять коэффициентные функции при старших полюсах исходя из
младшего полюса или обобщенных β-функций.
Vlad-Mihai Mandric, Tim R. Morris, Dalius Stulga, “Off-shell divergences in quantum gravity”, J. High Energ. Phys., 2023:11 (2023)
N. P. Meshcheriakov, V. V. Shatalova, K. V. Stepanyantz, “Higher logarithms and ε-poles for the MS-like renormalization prescriptions”, J. High Energ. Phys., 2023:12 (2023)
B. Ananthanarayan, M. S. A. Alam Khan, Daniel Wyler, “Chiral perturbation theory: reflections on effective theories of the standard model”, Indian J Phys, 97:11 (2023), 3245
Antonov N.V. Babakin A.A. Kakin P.I., “Strongly Nonlinear Diffusion in Turbulent Environment: a Problem With Infinitely Many Couplings”, Universe, 8:2 (2022), 121
L. V. Bork, D. I. Kazakov, “UV divergences, RG equations and high energy behaviour of the amplitudes in the Wess-Zumino model with quartic interaction”, J. High Energ. Phys., 2022:6 (2022)
N. P. Meshcheriakov, V. V. Shatalova, K. V. Stepanyantz, “Coefficients at powers of logarithms in the higher-derivatives and minimal-subtractions-of-logarithms renormalization scheme”, Phys. Rev. D, 106:10 (2022)
Sergey N. Solodukhin, “Renormalization group equations and the recurrence pole relations in pure quantum gravity”, Nuclear Physics B, 962 (2021), 115246
Helias M., “Momentum-Dependence in the Infinitesimal Wilsonian Renormalization Group”, J. Phys. A-Math. Theor., 53:44 (2020), 445004
М. В. Поляков, К. М. Семенов-Тян-Шанский, А. О. Смирнов, А. А. Владимиров, “Квазиперенормируемые квантовые теории поля”, ТМФ, 200:2 (2019), 290–309; M. V. Polyakov, K. M. Semenov-Tian-Shansky, A. O. Smirnov, A. A. Vladimirov, “Quasirenormalizable quantum field theories”, Theoret. and Math. Phys., 200:2 (2019), 1176–1192
Ivan Chebotarev, Vladislav Guskov, Stanislav Ogarkov, Matthew Bernard, “S-Matrix of Nonlocal Scalar Quantum Field Theory in Basis Functions Representation”, Particles, 2:1 (2019), 103
Ananthanarayan B., Ghosh Sh., Vladimirov A., Wyler D., “Leading Logarithms of the Two-Point Function in Massless O(N) and Su(N) Models to Any Order From Analyticity and Unitarity”, Eur. Phys. J. A, 54:7 (2018), 123
Н. В. Антонов, П. И. Какинь, “Скейлинг в эрозии ландшафтов: ренормгрупповой анализ бесконечнозарядной модели”, ТМФ, 190:2 (2017), 226–238; N. V. Antonov, P. I. Kakin, “Scaling in landscape erosion: Renormalization group analysis of a model with infinitely many couplings”, Theoret. and Math. Phys., 190:2 (2017), 193–203
Antonov N.V. Kakin P.I., “Scaling in erosion of landscapes: renormalization group analysis of a model with turbulent mixing”, J. Phys. A-Math. Theor., 50:8 (2017), 085002
L. V. Bork, D. I. Kazakov, M. V. Kompaniets, D. M. Tolkachev, D. E. Vlasenko, “Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions”, J. High Energ. Phys., 2015:11 (2015)
Christian Friedrich Steinwachs, Springer Theses, Non-minimal Higgs Inflation and Frame Dependence in Cosmology, 2014, 153
Artur R. Pietrykowski, “Interacting scalar fields in the context of effective quantum gravity”, Phys. Rev. D, 87:2 (2013)
Christian F. Steinwachs, Alexander Yu. Kamenshchik, “One-loop divergences for gravity nonminimally coupled to a multiplet of scalar fields: Calculation in the Jordan frame. I. The main results”, Phys. Rev. D, 84:2 (2011)
Andrei O Barvinsky, Alexander Yu Kamenshchik, Claus Kiefer, Alexei A Starobinsky, Christian Steinwachs, “Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field”, J. Cosmol. Astropart. Phys., 2009:12 (2009), 003
Dmitri I Kazakov, Grigory S.Vartanov, “Renormalizable 1/Nfexpansion for field theories in extra dimensions”, J. High Energy Phys., 2007:06 (2007), 081
Цитирование в формате AMSBIB
Обратная связь: