Abstract
We consider current-current deformations that generalize TT[over ¯] ones, and show that they may be also introduced for integrable spin chains. In analogy with the integrable QFT setup, we define the deformation as a modification of the S matrix in the Bethe equations. Using results by Bargheer, Beisert and Loebbert we show that the deforming operator is composite and constructed out of two currents on the lattice; its expectation value factorizes like for TT[over ¯]. Such a deformation may be considered for any combination of charges that preserve the model's integrable structure.
Highlights
TT Deformations and Integrable Spin ChainsWe consider current-current deformations that generalize TTones, and show that they may be introduced for integrable spin chains
In analogy with the integrable quantum field theory (QFT) setup, we define the deformation as a modification of the S matrix in the Bethe equations
Introduction.—Exactly solvable models play a crucial role in theoretical physics
Summary
We consider current-current deformations that generalize TTones, and show that they may be introduced for integrable spin chains. Using results by Bargheer, Beisert and Loebbert we show that the deforming operator is composite and constructed out of two currents on the lattice; its expectation value factorizes like for TT. Such a deformation may be considered for any combination of charges that preserve the model’s integrable structure. QFTs—we talk of integrable QFTs (IQFTs)—even though the details there are more involved, as it may be expected Regardless, their physics is similar: integrable spin chains as well as IQFTs possess an infinite number of conserved charges, mutually commuting, which greatly constrain their dynamics For two-dimensional QFTs, one such way to construct models is to consider current-current deformations, that is to say to define an α-deformed Hamiltonian
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