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pro vyhledávání: '"Tyutin, A."'
The associative algebra of symplectic reflections $\mathcal H:= H_{1,\nu_1, \nu_2}(I_2(2m))$ based on the group generated by the root system $I_2(2m)$ has two parameters, $\nu_1$ and $\nu_2$. For every value of these parameters, the algebra $\mathcal
Externí odkaz:
http://arxiv.org/abs/2112.06666
Publikováno v:
Journal of Nonlinear Mathematical Physics, 2020/12
The algebra $\mathcal H:= H_{1,\nu}(I_2(2m+1))$ of observables of the Calogero model based on the root system $I_2(2m+1)$ has an $m$-dimensional space of traces and an $(m+1)$-dimensional space of supertraces. In the preceding paper we found all valu
Externí odkaz:
http://arxiv.org/abs/2012.05779
Publikováno v:
Russ.Phys.J. 64 ( 2021) 688 (Izvestia Vyshikh Uchebnykh Zavedenii, Fizika, n.4 (2021) 110 (in Russian))
An independent (purely algebraic) proof of factorization property of the Grand Jacobian corresponding to anticanonical transformations in the BV-formalism is given.
Comment: 7 pages, v.2: published version
Comment: 7 pages, v.2: published version
Externí odkaz:
http://arxiv.org/abs/2011.06429
Publikováno v:
Theor. Math. Phys. 202 (2020) 30-40
Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV-formalism, we derive a classical master-equation homogeneous with respect to the antibracket by introducing antifield pa
Externí odkaz:
http://arxiv.org/abs/1909.09983
Autor:
Konstein, S. E., Tyutin, I. V.
Publikováno v:
Journal of Nonlinear Mathematical Physics, 27:1 (2020), 7-11
If $G$ is a finite Coxeter group, then symplectic reflection algebra $H:=H_{1,\eta}(G)$ has Lie algebra $\mathfrak {sl}_2$ of inner derivations and can be decomposed under spin: $H=H_0 \oplus H_{1/2} \oplus H_{1} \oplus H_{3/2} \oplus ...$. We show t
Externí odkaz:
http://arxiv.org/abs/1909.02781
Publikováno v:
Eur. Phys. J. C79 (2019) 628
In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism with an extra
Externí odkaz:
http://arxiv.org/abs/1902.09532
Publikováno v:
Pravoprimenenie, Vol 6, Iss 4, Pp 95-120 (2022)
The subject. The institution of investing in the Russian Federation is determined by the set of economic and legal reformations. That is why discussions and debates about the necessity of creating of the investment code, unification of existing rules
Externí odkaz:
https://doaj.org/article/18469dfea5c748ce8d01f5e53c953753
The dynamics of two-component solitons with a small spatial displacement of the high-frequency (HF) component relative to the low-frequency (LF) one is investigated in the framework of the Zakharov-type system. In this system, the evolution of the HF
Externí odkaz:
http://arxiv.org/abs/1811.02299
Publikováno v:
Eur.Phys.J.C78 (2018) 570
In the paper, within the background-field method, the structure of renormalizations is studied as for Yang-Mills fields interacting with a multiplet of spinor fields. By extending the Faddeev-Popov action with extra fields and parameters, one is allo
Externí odkaz:
http://arxiv.org/abs/1806.02552
Autor:
Iliyasov, Taigib M., Karpenko, Kirill A., Vinokurov, Andrey D., Fakhrutdinov, Artem N., Tyutin, Alexander A., Elinson, Michail N., Vereshchagin, Anatoly N.
Publikováno v:
In Mendeleev Communications September-October 2022 32(5):629-631