Results 21 to 30 of about 3,614 (216)
Supersymmetric Vacua and Bethe Ansatz [PDF]
Nuclear Physics B - Proceedings Supplements, 2009 An announcement of some results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence with the eigenstates of integrable spin chain Hamiltonians. The Heisenberg spin chain is mapped to the two dimensional U(N) theory with fundamental hypermultiplets, the XXZ ...
Nekrasov, Nikita A. +1 more
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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LARGE-N AND BETHE ANSATZ [PDF]
Modern Physics Letters A, 2004 We describe an integrable model, related to the Gaudin magnet, and its relation to the matrix model of Brézin, Itzykson, Parisi and Zuber. Relation is based on Bethe ansatz for the integrable model and its interpretation using orthogonal polynomials and saddle point approximation.
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Discrete thermodynamic Bethe ansatz [PDF]
Nuclear Physics B, 2001 We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the Calogero-Moser model and determine the discrete 2-body TBA function which yields the exact N-body Calogero-Moser thermodynamics. We apply this algorithm to the Lieb-Liniger model in a harmonic well, a model which is relevant for the microscopic ...
Bergere, Michel +2 more
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Bethe Ansatz equations for the classical A^(1)_n affine Toda field theories [PDF]
, 2014 We establish a correspondence between classical A(1)n affine Toda field theories and An Bethe Ansatz systems. We show that the connection coefficients relating specific solutions of the associated classical linear problem satisfy functional relations of ...
Dunning, Clare +2 more
core +1 more source
On quantum phase crossovers in finite systems [PDF]
, 2006 In this work we define a formal notion of a quantum phase crossover for certain Bethe ansatz solvable models. The approach we adopt exploits an exact mapping of the spectrum of a many-body integrable system, which admits an exact Bethe ansatz solution ...
Hibberd, Katrina E. +2 more
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Introduction to the Bethe Ansatz II
Computers in Physics, 1998 Building on the fundamentals introduced in part I, we employ the Bethe ansatz to study some ground-state properties (energy, magnetization, susceptibility) of the one-dimensional s=1/2 Heisenberg antiferromagnet in zero and nonzero magnetic field. The 2-spinon triplet and singlet excitations from the zero-field ground state are discussed in detail, and
Karbach, Michael +2 more
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Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics [PDF]
, 2001 The one-dimensional Schrodinger equation for the potential x(6)+alphax(2)+l (l+1)/x(2) has many interesting properties. For certain values of the parameters I and a the equation is in turn supersymmetric (Witten) and quasi-exactly solvable (Turbiner ...
Dunning, Clare +2 more
core +1 more source
Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz
Nuclear Physics B, 2018 Using the exact Bethe Ansatz solution, we investigate methods for calculating the ground-state energy for the p+ip-pairing Hamiltonian. We first consider the Hamiltonian isolated from its environment (closed model) through two forms of Bethe Ansatz ...
Yibing Shen, Phillip S. Isaac, Jon Links
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The Bethe-Ansatz approach to the N $$ \mathcal{N} $$ = 4 superconformal index at finite rank
Journal of High Energy Physics, 2021 We investigate the Bethe-Ansatz approach to the superconformal index of N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills with SU(N) gauge group in the context of finite rank, N.
Alfredo González Lezcano +3 more
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