scholarly journals Zero modes method and form factors in quantum integrable models

2015 ◽  
Vol 893 ◽  
pp. 459-481 ◽  
Author(s):  
S. Pakuliak ◽  
E. Ragoucy ◽  
N.A. Slavnov
Keyword(s):  
Form Factors ◽  
Integrable Models ◽  
Zero Modes ◽  
Quantum Integrable Models

scholarly journals Recurrence relations for off-shell Bethe vectors in trigonometric integrable models

2022 ◽  
Author(s):  
Andrew Liashyk ◽  
Stanislav Pakuliak
Keyword(s):  
Scalar Product ◽  
Recurrence Relations ◽  
Monodromy Matrix ◽  
Integrable Models ◽  
Zero Modes ◽  
Quantum Integrable Models

Abstract The zero modes method is applied in order to get action of the monodromy matrix entries onto off-shell Bethe vectors in quantum integrable models associated with $U_q(\mathfrak{gl}_N)$-invariant $\RR$-matrices. The action formulas allowto get recurrence relations for off-shell Bethe vectors and for highest coefficients of the Bethe vectors scalar product.

scholarly journals Form factors in quantum integrable models with GL(3)-invariant R-matrix

2014 ◽  
Vol 881 ◽  
pp. 343-368 ◽  
Author(s):  
S. Pakuliak ◽  
E. Ragoucy ◽  
N.A. Slavnov
Keyword(s):  
Form Factors ◽  
Integrable Models ◽  
R Matrix ◽  
Quantum Integrable Models

scholarly journals ALGEBRAIC ASPECT AND CONSTRUCTION OF LAX OPERATORS IN QUANTUM INTEGRABLE SYSTEMS

1995 ◽  
Vol 10 (40) ◽  
pp. 3113-3117 ◽  
Author(s):  
B. BASU-MALLICK ◽  
ANJAN KUNDU
Keyword(s):  
Integrable Systems ◽  
Integrable Models ◽  
Quantum Integrable Systems ◽  
Algebraic Construction ◽  
Algebraic Aspect ◽  
Quantum Integrable Models

An algebraic construction which is more general and closely connected with that of Faddeev,1 along with its application for generating different classes of quantum integrable models is summarized to complement the recent results of Ref. 1.

scholarly journals Generalized hydrodynamics regime from the thermodynamic bootstrap program

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Axel Cortes Cubero ◽  
Milosz Panfil
Keyword(s):  
Energy Density ◽  
Correlation Functions ◽  
Form Factors ◽  
Finite Energy ◽  
Axiomatic Approach ◽  
Field Theories ◽  
Relativistic Field ◽  
Generalized Hydrodynamics ◽  
Quantum Integrable Models ◽  
Integrable Field

Within the generalized hydrodynamics (GHD) formalism for quantum integrable models, it is possible to compute simple expressions for a number of correlation functions at the Eulerian scale. Specializing to integrable relativistic field theories, we show the same correlators can be computed as a sum over form factors, the GHD regime corresponding to the leading contribution with one particle-hole pair on a finite energy-density background. The thermodynamic bootstrap program (TBP) formalism was recently introduced as an axiomatic approach to computing such finite-energy-density form factors for integrable field theories. We derive a new axiom within the TBP formalism from which we easily recover the predicted GHD Eulerian correlators. We also compute higher form factor contributions, with more particle-hole pairs, within the TBP, allowing for the computation of correlation functions in the diffusive, and beyond, GHD regimes. The two particle-hole form factors agree with expressions recently conjectured within the GHD.

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