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ТМФ, 2007, том 150, номер 1, страницы 152–176 (Mi tmf5971)  

Эта публикация цитируется в 87 научных статьях (всего в 87 статьях)

Десятилетие аналитической теории возмущений в КХД

Д. В. Ширковa, И. Л. Соловцовab

a Объединенный институт ядерных исследований, Лаборатория теоретической физики им. Н. Н. Боголюбова
b Международный центр перспективных исследований, ГГТУ им. П. О. Сухого

Аннотация: Модификация ряда теории возмущений КХД, выполненная методом ренормгруппы, позволяет улучшить свойства разложения в ультрафиолетовой области, однако приводит к нефизическим особенностям в инфракрасной области. Привлекая дополнительные общие требования аналитичности, отраженные в представлениях Челлена–Лемана и Йоста–Лемана и основанные на принципе причинности, метод аналитической теории возмущений реализует следующий шаг в модернизации пертурбативных аппроксимаций, освобождая их от особенностей и делая стабильными к поправкам высших порядков и выбору схемы перенормировки. Представлен обзор основных этапов разработки аналитической теории возмущений в КХД, в том числе недавние приложения к описанию адронных процессов.

Ключевые слова: неаналитичность по $\alpha$, причинность, представление Челлена–Лемана

DOI: https://doi.org/10.4213/tmf5971

Полный текст: PDF файл (861 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Theoretical and Mathematical Physics, 2007, 150:1, 132–152

Реферативные базы данных:

Поступило в редакцию: 22.08.2006

Образец цитирования: Д. В. Ширков, И. Л. Соловцов, “Десятилетие аналитической теории возмущений в КХД”, ТМФ, 150:1 (2007), 152–176; Theoret. and Math. Phys., 150:1 (2007), 132–152

Цитирование в формате AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    Эта публикация цитируется в следующих статьяx:
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    29. Cvetic G., Koegerler R., Valenzuela C., “Reconciling the analytic QCD with the ITEP operator product expansion philosophy”, Phys. Rev. D, 82:11 (2010), 114004  crossref  adsnasa  isi  elib  scopus
    30. Bakulev A.P., “Resummation in QCD fractional analytic perturbation theory”, Physics of Particles and Nuclei, 41:6 (2010), 905–909  crossref  adsnasa  isi  scopus
    31. Magradze B.A., “Testing the Concept of Quark-Hadron Duality with the ALEPH tau Decay Data”, Few Body Systems, 48:2–4 (2010), 143–169  crossref  adsnasa  isi  elib  scopus
    32. Cvetic G., Loewe M., Martinez C., Valenzuela C., “Modified contour-improved perturbation theory”, Phys. Rev. D, 82:9 (2010), 093007  crossref  adsnasa  isi  elib  scopus
    33. Pasechnik R.S., Soffer J., Teryaev O.V., “Nucleon spin structure at low momentum transfers”, Phys. Rev. D, 82:7 (2010), 076007  crossref  adsnasa  isi  elib  scopus
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    36. Nesterenko A.V., Simolo C., “QCDMAPT: Program package for Analytic approach to QCD”, Comput Phys Comm, 181:10 (2010), 1769–1775  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    37. Bakulev A.P., Mikhailov S.V., Stefanis N.G., “Higher-order QCD perturbation theory in different schemes: from FOPT to CIPT to FAPT”, Journal of High Energy Physics, 2010, no. 6, 085  crossref  zmath  isi  scopus
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    40. Belyakova Yu.O., Nesterenko A.V., “A Nonperturbative Model for the Strong Running Coupling Within Potential Approach”, Internat. J. Modern Phys. A, 26:6 (2011), 981–993  crossref  zmath  adsnasa  isi  elib  scopus
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    49. Ayala C. Contreras C. Cvetic G., “Extended analytic QCD model with perturbative QCD behavior at high momenta”, Phys. Rev. D, 85:11 (2012), 114043  crossref  adsnasa  isi  elib  scopus
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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