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Found 11 Documents (Results 1–11)

Elliptic hypergeometric function and \(6j\)-symbols for the \(SL(2,{\mathbb C})\) group. (English. Russian original) Zbl 1516.33011

Theor. Math. Phys. 213, No. 1, 1406-1422 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 108-128 (2022).
MSC:  33C80 33C45
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Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an \(\mathrm{SL}(n,\mathbb{C})\)-invariant spin chain. (English. Russian original) Zbl 1362.82013

Theor. Math. Phys. 189, No. 2, 1529-1553 (2016); translation from Teor. Mat. Fiz. 189, No. 2, 149-175 (2016).
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Finite-dimensional representations of the elliptic modular double. (English. Russian original) Zbl 1328.81132

Theor. Math. Phys. 183, No. 2, 597-618 (2015); translation from Teor. Mat. Fiz. 183, No. 2, 177-201 (2015).
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The \(R\)-matrix factorization, \(Q\)-operator, and variable separation in the case of the XXX spin chain with the \(SL(2,\mathbb C)\) symmetry group. (English. Russian original) Zbl 1274.82009

Theor. Math. Phys. 169, No. 2, 1539-1550 (2011); translation from Teor. Mat. Fiz. 169, No. 2, 204-217 (2011).
MSC:  82B20 16T25
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Critical dimensions of composite operators in the nonlinear \(\sigma\)-model. (English. Russian original) Zbl 0952.81018

Theor. Math. Phys. 116, No. 3, 1034-1049 (1998); translation from Teor. Mat. Fiz. 116, No. 3, 379-400 (1998).
MSC:  81T15 81T10
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Three-loop calculation of the anomalous field dimension in the full four-fermion \(U_N\)-symmetric model. (English. Russian original) Zbl 0925.81427

Theor. Math. Phys. 107, No. 3, 710-719 (1996); translation from Teor. Mat. Fiz. 107, No. 3, 359-371 (1996).
MSC:  81V35 81T17
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On the equivalence of renormalizations in standard and dimensional regularizations of 2D four-fermion interactions. (English. Russian original) Zbl 0937.81045

Theor. Math. Phys. 107, No. 1, 441-455 (1996); translation from Teor. Mat. Fiz. 107, No. 1, 27-46 (1996).
MSC:  81T15 81T18
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A technique for calculating the \(\gamma\)-matrix structures of the diagrams of a total four-fermion interaction with infinite number of vertices in \(d=2+ \varepsilon\) dimensional regularization. (English. Russian original) Zbl 0960.81539

Theor. Math. Phys. 103, No. 2, 487-495 (1995); translation from Teor. Mat. Fiz. 103, No. 2, 179-191 (1995).
MSC:  81T17
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