Polyakov, M. V. ; Semenov-Tian-Shansky, K. M. ; Smirnov, A. O. 
; Vladimirov, A. A.
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Theoretical and Mathematical Physics |
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| Verlag: | MAIK NAUKA/INTERPERIODICA/SPRINGER |
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| Ort der Veröffentlichung: | NEW YORK |
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| Band: | 200 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 2 |
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| Seitenbereich: | S. 1176-1192 |
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| Datum: | 2019 |
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| Institutionen: | Physik > Institut für Theoretische Physik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1134/S0040577919080105 | DOI |
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| Stichwörter / Keywords: | CHIRAL LOGARITHMS; SIGMA-MODEL; EQUATIONS; LOGS; renormalization group; effective field theory; leading logarithm; Landau pole; Dixon elliptic function |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 530 Physik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 48380 |
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Zusammenfassung
Leading logarithms in massless nonrenormalizable effective field theories can be computed using nonlinear recurrence relations. These recurrence relations follow from the fundamental requirements of unitarity, analyticity, and crossing symmetry of scattering amplitudes and generalize the renormalization group technique to the case of nonrenormalizable effective field theories. We review the ...
Zusammenfassung
Leading logarithms in massless nonrenormalizable effective field theories can be computed using nonlinear recurrence relations. These recurrence relations follow from the fundamental requirements of unitarity, analyticity, and crossing symmetry of scattering amplitudes and generalize the renormalization group technique to the case of nonrenormalizable effective field theories. We review the existing exact solutions of nonlinear recurrence relations relevant for field theory applications. We introduce a new class of quantum field theories (quasirenormalizable field theories) in which resumming leading logarithms for 2 -> 2 scattering amplitudes yields a possibly infinite number of Landau poles.
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