Results 11 to 20 of about 48,063 (294)

Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models [PDF]

Nuclear Physics B, 1996
We approach the study of non--integrable models of two--dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact $S$-matrix and Form Factors of the integrable field theories we obtain the first ...
Arefyva, Arinshtein, Babelon, Balog, Bazhanov, Belavin, Berg, Braden, Cardy, Cardy, Cardy, Cardy, Christe, Christe, Delfino, Delfino, Delfino, Destri, Dotsenko, Dotsenko, Fateev, Fateev, Freund, Friedan, Fring, Fring, G. Delfino, G. Mussardo, Henkel, Henkel, Iagolnitzer, Itzykson, Karowsky, Karowsky, Kirillov, Koubek, Koubek, Koubek, Koubek, Koubek, Koubek, Kulish, Lassig, Lassig, Lassig, Lauwers, Lukyanov, Lukyanov, Lukyanov, Luscher, Luscher, Martins, McCoy, McCoy, McCoy, McCoy, McCoy, McCoy, McCoy, McCoy, Messiah, Mussardo, Mussardo, P. Simonetti, Palmer, Perk, Reshetikhin, Sagdeev, Sato, Sato, Sato, Schroer, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Sotkov, von Gehlen, Wu, Yurov, Yurov, Yurov, Zamolodchikov, Zamolodchikov, Zamolodchikov, Zamolodchikov, Zamolodchikov, Zamolodchikov   +91 more
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On space of integrable quantum field theories

Nuclear Physics B, 2017
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 understood as “effective field theories”, with finite ultraviolet cutoff. We show
F.A. Smirnov, A.B. Zamolodchikov
doaj   +3 more sources

Resurgence and 1/N Expansion in Integrable Field Theories

Journal of High Energy Physics, 2021
In theories with renormalons the perturbative series is factorially divergent even after restricting to a given order in 1/N, making the 1/N expansion a natural testing ground for the theory of resurgence.
Lorenzo Di Pietro, Marcos Mariño, Giacomo Sberveglieri, Marco Serone   +3 more
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Four-dimensional Chern–Simons theory and integrable field theories [PDF]

Journal of Physics A: Mathematical and Theoretical, 2022
Abstract These lecture notes concern the semi-holomorphic 4D Chern–Simons theory and its applications to classical integrable field theories in 2D and in particular integrable sigma-models. After introducing the main properties of the Chern–Simons theory in 3D, we will define its 4D analogue and explain how it is naturally related to ...
Sylvain Lacroix
openaire   +4 more sources

T T ¯ $$ T\overline{T} $$ -deformation and long range spin chains

Journal of High Energy Physics, 2020
We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the T T ¯ $$ T\overline{T} $$ -deformation of 1+1 dimensional integrable
Balázs Pozsgay, Yunfeng Jiang, Gábor Takács   +2 more
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Integrable coupled massive Thirring model with field values in a Grassmann algebra

Journal of High Energy Physics, 2023
A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1) version of the Grassmannian Thirring model also introduced in this ...
B. Basu-Mallick, F. Finkel, A. González-López, D. Sinha   +3 more
doaj   +1 more source

Null-Vectors in Integrable Field Theory [PDF]

Communications in Mathematical Physics, 1997
The form factor bootstrap approach allows to construct the space of local fields in the massive restricted sine-Gordon model. This space has to be isomorphic to that of the corresponding minimal model of conformal field theory. We describe the subspaces which correspond to the Verma modules of primary fields in terms of the commutative algebra of local
Babelon, O., Bernard, Denis, Smirnov, F.A.   +2 more
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Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws

Journal of High Energy Physics, 2023
Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
doaj   +1 more source

CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS [PDF]

International Journal of Modern Physics A, 2004
Some ideas and remarks are presented concerning a possible Lagrangian approach to the study of internal boundary conditions relating integrable fields at the junction of two domains. The main example given in the article concerns single real scalar fields in each domain and it is found that these may be free, of Liouville type, or of sinh-Gordon type.
Bowcock, P., Corrigan, E., Zambon, C.
openaire   +2 more sources

Integrable field theories from Poisson algebras [PDF]

, 1991
New integrable 1 + 1 dimensional classical field theories are found that include infinite dimensional analogues of N-particle Toda-and Calogero-Moser systems, as well as non-relativistic theories with an interaction that is polynomial in the first ...
Bordemann, M., Hoppe, J., Theisen, S.
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