Results 81 to 90 of about 1,573,184 (216)

Lattice local integrable regularization of the Sine-Gordon model

Physics Letters B, 2023
We study the local lattice integrable regularization of the Sine-Gordon model written down in terms of the lattice Bose-operators. We show that the local spin Hamiltonian obtained from the six-vertex model with alternating inhomogeneities in fact leads to the Sine-Gordon model in the low-energy limit.
openaire   +4 more sources

Slow dynamics in translation-invariant quantum lattice models [PDF]

, 2017
Many-body quantum systems typically display fast dynamics and ballistic spreading of information. Here we address the open problem of how slow the dynamics can be after a generic breaking of integrability by local interactions.
A. Michailidis, M. vZnidarivc, M. Medvedyeva, D. Abanin, T. Prosen, Z. Papi'c   +5 more
semanticscholar   +1 more source

Integrable crosscap states: from spin chains to 1D Bose gas

Journal of High Energy Physics, 2023
The notion of a crosscap state, a special conformal boundary state first defined in 2d CFT, was recently generalized to 2d massive integrable quantum field theories and integrable spin chains.
Miao He, Yunfeng Jiang
doaj   +1 more source

Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry

, 2012
The box-ball system is an integrable cellular automaton on one dimensional lattice. It arises from either quantum or classical integrable systems by the procedures called crystallization and ultradiscretization, respectively.
Ariki S, Arnold V I, Atsuo Kuniba, Audin M, Baxter R J, Berenstein A, Drinfel’d V, Dubrovin B A, Eßler H L, Faddeev L D, Fukuda K, Fulton W, Hatayama G, Hikami K, Hong J, Inoue R, Inoue R, Iwao S, Jimbo M, Kang S-J, Kimijima T, Kuniba A, Kuniba A, Kuniba A, Mada J, Miwa T, Okado M, Rei Inoue, Schilling A, Speyer D Sturmfels B, Sutherland B, Taichiro Takagi, Takagi T, Takagi T, Takagi T, Takahashi D, Takahashi D, Toda M, Tokihiro T, Tokihiro T, Yamada D, Yoshihara D, Yura F   +42 more
core   +1 more source

Chaotic string motion in a near pp-wave limit

Journal of High Energy Physics, 2023
We revisit classical string motion in a near pp-wave limit of AdS5 × S5. It is known that the Toda lattice models are integrable. But if the exponential potential is truncated at finite order, then the system may become non-integrable.
Shodai Kushiro, Kentaroh Yoshida
doaj   +1 more source

Integrable one-dimensional heavy fermion lattice model

Nuclear Physics B, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A new (in)finite dimensional algebra for quantum integrable models [PDF]

, 2005
A new (in)finite dimensional algebra which is a fundamental dynamical symmetry of a large class of (continuum or lattice) quantum integrable models is introduced and studied in details.
Ahn, Au-Yang, Baseilhac, Baseilhac, Baseilhac, Bazhanov, Belavin, Bernard, Cherednik, Date, Davies, Davies, Davies, de Vega, Delius, Doikou, Dolan, Dorey, Fateev, Fateev, Fateev, Friedan, Ghoshal, Ito, Ito, Klishevich, Klishevich, Knizhnik, Kozo Koizumi, Lukyanov, Mezincescu, Onsager, Pascal Baseilhac, Perk, Sklyanin, Suzuki, Terwilliger, Terwilliger, Terwilliger, Terwilliger, von Gehlen, Wannier, Wiegmann, Zabrodin, Zhedanov   +44 more
core   +2 more sources

Exact physical quantities of the D 2 2 $$ {D}_2^{(2)} $$ spin chain model with generic open boundary conditions

Journal of High Energy Physics
We study the quantum integrable spin chain model associated with the twisted D 2 2 $$ {D}_2^{(2)} $$ algebra (or simply the D 2 2 $$ {D}_2^{(2)} $$ model) under generic open boundary conditions.
Pengcheng Lu, Junpeng Cao, Wen-Li Yang, Ian Marquette, Yao-Zhong Zhang   +4 more
doaj   +1 more source

New construction of eigenstates and separation of variables for SU(N) quantum spin chains

Journal of High Energy Physics, 2017
We conjecture a new way to construct eigenstates of integrable XXX quantum spin chains with SU(N) symmetry. The states are built by repeatedly acting on the vacuum with a single operator B good(u) evaluated at the Bethe roots.
Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov   +2 more
doaj   +1 more source

Field analogue of the Ruijsenaars-Schneider model

Journal of High Energy Physics, 2022
We suggest a field extension of the classical elliptic Ruijsenaars-Schneider model. The model is defined in two different ways which lead to the same result.
A. Zabrodin, A. Zotov
doaj   +1 more source