T-systems and Y-systems in integrable systems
A Kuniba, T Nakanishi, J Suzuki - Journal of Physics A …, 2011 - iopscience.iop.org
T-and Y-systems are ubiquitous structures in classical and quantum integrable systems.
They are difference equations having a variety of aspects related to commuting transfer …
They are difference equations having a variety of aspects related to commuting transfer …
The ode/im correspondence
This paper reviews a recently discovered link between integrable quantum field theories and
certain ordinary differential equations in the complex domain. Along the way, aspects of …
certain ordinary differential equations in the complex domain. Along the way, aspects of …
Emergent hydrodynamics in integrable quantum systems out of equilibrium
Understanding the general principles underlying strongly interacting quantum states out of
equilibrium is one of the most important tasks of current theoretical physics. With …
equilibrium is one of the most important tasks of current theoretical physics. With …
On space of integrable quantum field theories
FA Smirnov, AB Zamolodchikov - Nuclear Physics B, 2017 - Elsevier
We study deformations of 2D Integrable Quantum Field Theories (IQFT) which preserve
integrability (the existence of infinitely many local integrals of motion). The IQFT are …
integrability (the existence of infinitely many local integrals of motion). The IQFT are …
-deformed 2D quantum field theories
A bstract It was noticed many years ago, in the framework of massless RG flows, that the
irrelevant composite operator\(\mathrm {T}\overline {\mathrm {T}}\), built with the components …
irrelevant composite operator\(\mathrm {T}\overline {\mathrm {T}}\), built with the components …
Quench dynamics and relaxation in isolated integrable quantum spin chains
FHL Essler, M Fagotti - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …
Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
VV Bazhanov, SL Lukyanov… - … in Mathematical Physics, 1996 - Springer
We construct the quantum versions of the monodromy matrices of KdV theory. The traces of
these quantum monodromy matrices, which will be called as “T-operators,” act in highest …
these quantum monodromy matrices, which will be called as “T-operators,” act in highest …
Integrable structure of conformal field theory II. Q-operator and DDV equation
VV Bazhanov, SL Lukyanov… - … in Mathematical Physics, 1997 - Springer
This paper is a direct continuation of 1 where we began the study of the integrable structures
in Conformal Field Theory. We show here how to construct the operators \bfQ_±(λ) which act …
in Conformal Field Theory. We show here how to construct the operators \bfQ_±(λ) which act …
Relaxation after quantum quenches in the spin- Heisenberg XXZ chain
We consider the time evolution after quantum quenches in the spin-1 2 Heisenberg XXZ
quantum spin chain with Ising-type anisotropy. The time evolution of short-distance spin-spin …
quantum spin chain with Ising-type anisotropy. The time evolution of short-distance spin-spin …
Wrapping interactions and a new source of corrections to the spin-chain/string duality
Assuming that the world-sheet sigma-model in the AdS/CFT correspondence is an
integrable quantum field theory, we deduce that there might be new corrections to the spin …
integrable quantum field theory, we deduce that there might be new corrections to the spin …