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Quantum transfer-matrices for the sausage model

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arxiv 1706.09941 v4 pith:D2N2I4GW submitted 2017-06-29 hep-th cond-mat.stat-mechmath-phmath.MP

classification hep-thcond-mat.stat-mechmath-phmath.MP
keywords modelquantumsausageintegrablenon-lineartransfer-matricesallowedapproach
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In this work we revisit the problem of the quantization of the two-dimensional O(3) non-linear sigma model and its one-parameter integrable deformation -- the sausage model. Our consideration is based on the so-called ODE/IQFT correspondence, a variant of the Quantum Inverse Scattering Method.The approach allowed us to explore the integrable structures underlying the quantum O(3)/sausage model. Among the obtained results is a system of non-linear integral equations for the computation of the vacuum eigenvalues of the quantum transfer-matrices.

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  1. Nonperturbative features in the Lie-algebraic K\"ahler sigma model with fermions

    hep-th 2024-12 conditional novelty 6.0 of 10

    In the deformed CP1 quantum mechanics with fermions, the nonperturbative ambiguity structure of the ground state energy persists, with the elongation parameter k conjectured to enter at three loops through g^4(k^2-1).

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