Article
Physics, Particles & Fields
Riccardo Conti, Davide Masoero
Summary: The study focuses on the large momentum limit of monster potentials in the context of Quantum KdV model. It is found that the poles of these potentials asymptotically condense around complex equilibria and the leading correction to this behavior is expressed in terms of roots of Wronskians of Hermite polynomials. This study establishes a relationship between the number of monster potentials with N roots and the number of integer partitions of N, in alignment with the ODE/IM correspondence.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Paolo Ceschin, Riccardo Conti, Roberto Tateo
Summary: The T (T) over bar-deformed classical Lagrangian of a 2D Lorentz invariant theory can be derived through a field-dependent change of coordinates. Applying this idea to non-relativistic models, we study the deformed bright, grey and Peregrine's soliton solutions. The perturbation of nonlinear Schrodinger NLS with quartic potential does not trivially emerge from a standard non-relativistic limit of the deformed field theory, suggesting a different type of irrelevant deformation.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Fabrizio Aramini, Nicolo Brizio, Stefano Negrob, Roberto Tateoa
Summary: The ODE/IM correspondence serves as an exact connection between classical and quantum integrable models. This study demonstrates that the correspondence remains valid even after TT perturbation is applied on both sides. Specifically, the deformed Lax pair of the sinh-Gordon model, obtained through a dynamic change of coordinates from the unperturbed one, is shown to result in the same Burgers-type equation governing the quantum spectral flow induced by TT. The general validity of our main conclusions can be easily adapted to other ODE/IM examples involving integrable quantum field theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Miao He, Yunfeng Jiang
Summary: The notion of a crosscap state, first defined in 2d CFT, has been generalized to 2d massive integrable quantum field theories and integrable spin chains. It has been shown that the crosscap states preserve integrability. The exact overlap formula of the crosscap state and the on-shell Bethe states has been derived, and the conjectured overlap formula for integrable spin chains has been rigorously proven by coordinate Bethe ansatz. Furthermore, the quench dynamics and dynamical correlation functions of the crosscap state have been studied.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Yoan Emery
Summary: In the case of polynomial potentials, the exact WKB method can be reformulated in terms of a system of TBA equations. A graphical procedure developed by Toledo offers a fast and simple way to study the wall-crossing behavior of the TBA equations. When complemented with exact quantization conditions, the TBA equations can accurately solve spectral problems in Quantum Mechanics.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ivan Kostov
Summary: The finite-volume thermodynamics of a massive integrable QFT is described in this article, which involves a grand canonical ensemble of loops interacting through scattering factors associated with their intersections. The evaluation of the path integral is done after decoupling the pairwise interactions using a Hubbard-Stratonovich transformation. In the limit of a large torus period, the effective field theory becomes mean field type and is solved using the Thermodynamical Bethe Ansatz.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Arpad Hegedus
Summary: In this paper, we derived a Lüscher formula from field theory, which provides the leading exponentially small corrections to the 1-particle form-factors in non-diagonally scattering integrable quantum field theories. The formula, expressed in terms of 1- and 3-particle form-factors, represents a generalization of previous results obtained for diagonally scattering bosonic integrable quantum field theories. Valid for fermions and operators with non-zero Lorentz-spin, we demonstrated the results in the Massive Thirring Model and confirmed perfect agreement with 1-loop perturbation theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Fa-Kai Wen, Xin Zhang
Summary: In this study, the exact solution of the Gaudin model with various interactions was examined using the off-diagonal Bethe ansatz method. The Bethe states of the model were constructed and the behavior of Bethe roots under U(1) symmetry recovery was observed. These findings lay the groundwork for further investigations into the thermodynamic limit, correlation functions, and quantum dynamics of the Gaudin model.
Article
Physics, Particles & Fields
Fiona K. Seibold, Alessandro Sfondrini
Summary: The algebraic Bethe ansatz for the worldsheet theory of AdS(3 )x S-3 x T-4 superstring is derived and used to obtain the transfer matrices for fundamental particles and bound states of the string and mirror model. The modifications of the Bethe equations and transfer matrices under the presence of an Abelian twist are also discussed. These results are crucial for the exploration of the recently proposed mirror thermodynamic Bethe ansatz equations by Frolov and Sfondrini, as well as their generalization to twisted and deformed models.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Kun Hao, Olof Salberger, Vladimir Korepin
Summary: The Motzkin spin chain is a spin-1 frustration-free model introduced by Shor & Movassagh. The ground state is constructed by mapping random walks on the upper half of the square lattice to spin configurations. It has unusually large entanglement entropy [quantum fluctuations]. The ground state of the Motzkin chain can be analytically described by the Motzkin paths. There is no analytical description of the excited states.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Fiona K. Seibold, Alessandro Sfondrini
Summary: In this paper, two distinct eta-deformations of strings on AdS(5)xS(5) were compared, with both leading to integrable quantum deformations of the string non-linear sigma model. While their S matrices are apparently different, they result in the same Bethe equations, indicating that the integrable structure underlying the two constructions is essentially the same. Additionally, the eigenvalues of the transfer matrix in each case coincide, further supporting the conclusion that the two constructions share a common integrable structure.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Changrim Ahn, Matthias Staudacher
Summary: We refine the concept of eclectic spin chains introduced in [1] by incorporating a maximal number of deformation parameters. These models, integrable nearest-neighbor n-state spin chains, have simple non-hermitian Hamiltonians and show non-diagonalizability in the multiparticle sector (n > 2). Despite the failure of the quantum inverse scattering method to reproduce the spectrum details, we provide evidence for the non-random, subtle, and regular patterns exhibited by the spectrum for n=3. Our models, inspired by the one-loop dilatation operator of a strongly twisted, double-scaled deformation of N = 4 Super Yang-Mills Theory, also include a new model, the hypereclectic spin chain.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Guang-Liang Li, Xiaotian Xu, Kun Hao, Pei Sun, Junpeng Cao, Wen-Li Yang, Kang Jie Shi, Yupeng Wang
Summary: In this paper, we generalize the nested off-diagonal Bethe ansatz method to study the quantum chain associated with the twisted D-3((2)) algebra. We obtain operator product identities and determine eigenvalues of transfer matrices with an arbitrary anisotropic parameter q. Based on these results, we construct eigenvalues of transfer matrices for both periodic and open boundary conditions.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Hrachya M. Babujian, Angela Foerster, Michael Karowski
Summary: The high energy behavior of the SU(N) chiral Gross-Neveu model in 1 + 1 dimensions was investigated, showing that the model is integrable and matrix elements of several local operators (form factors) are known. The form factors exhibit rapidity space clustering, indicating factorization when a group of rapidities is shifted to infinity, and explicit factorization formulas are presented for several operators in the SU(N) model.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Dmitry Galakhov, Wei Li, Masahito Yamazaki
Summary: In this paper, we study the Gauge/Bethe correspondence for two-dimensional N=(2, 2) supersymmetric quiver gauge theories associated with toric Calabi-Yau three-folds. For non-chiral quivers, we confirm the corresponding Gauge/Bethe correspondence by showing that the Bethe ansatz equations for the crystal chain coincide with the vacuum equation of the quiver gauge theory. However, for more general chiral quivers, we find obstructions to the R-matrices satisfying the Yang-Baxter equations and the unitarity conditions, hence obstructing their corresponding Gauge/Bethe correspondence.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)