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Renormalons in integrable field theories [PDF]

open access: yesJournal of High Energy Physics, 2020
In integrable field theories in two dimensions, the Bethe ansatz can be used to compute exactly the ground state energy in the presence of an external field coupled to a conserved charge.
Marcos Mariño, Tomás Reis
doaj   +6 more sources

Integrable field theories and their CCFT duals

open access: yesJournal of High Energy Physics, 2023
We compute the Mellin transforms of various two-dimensional integrable S-matrices, providing the first explicit, non-perturbative realizations of celestial CFT.
Daniel Kapec, Adam Tropper
doaj   +3 more sources

Resurgence and 1/N Expansion in Integrable Field Theories

open access: yesJournal 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   +3 more
doaj   +2 more sources

On space of integrable quantum field theories

open access: yesNuclear 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

Discreteness and integrality in Conformal Field Theory [PDF]

open access: yesJournal of High Energy Physics, 2021
Abstract Various observables in compact CFTs are required to obey positivity, discreteness, and integrality. Positivity forms the crux of the conformal bootstrap, but understanding of the abstract implications of discreteness and integrality for the space of CFTs is lacking.
Kaidi, Justin, Perlmutter, Eric
openaire   +4 more sources

Finite volume form factors in integrable theories

open access: yesJournal of High Energy Physics
We develop a new method to calculate finite size corrections for form factors in two-dimensional integrable quantum field theories. We extract these corrections from the excited state expectation value of bilocal operators in the limit when the operators
Zoltan Bajnok   +3 more
doaj   +2 more sources

Integrable field theories with defects [PDF]

open access: yesCzechoslovak Journal of Physics, 2006
The structure of integrable field theories in the presence of defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the boundary functions for the super sinh-Gordon model is constructed and shown to generate the Backlund transformations for ...
Gomes, J. F.   +2 more
openaire   +4 more sources

TOPOLOGICAL FIELD THEORIES AND THE PERIOD INTEGRALS [PDF]

open access: yesModern Physics Letters A, 1993
We discuss topological Landau-Ginzburg theories coupled to two-dimensional topological gravity. We point out that the basic recursion relations for correlation functions of the two-dimensional gravity have exactly the same form as the Gauss-Manin differential equations for the period integrals of superpotentials.
Eguchi, Tohru   +2 more
openaire   +4 more sources

Null-Vectors in Integrable Field Theory [PDF]

open access: yesCommunications 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.   +2 more
openaire   +4 more sources

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

open access: yesJournal 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   +2 more
doaj   +1 more source

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