Infinite Family of Integrable Sigma Models Using Auxiliary Fields
We introduce a class of 2D sigma models which are parametrized by a function of one
variable. In addition to the physical field g, these models include an auxiliary field v α which …
variable. In addition to the physical field g, these models include an auxiliary field v α which …
Quantum integrability and functional equations: Applications to the spectral problem of AdS/CFT and two-dimensional sigma models
D Volin - Journal of Physics A: Mathematical and Theoretical, 2011 - iopscience.iop.org
In this review, a general procedure to represent the integral Bethe Ansatz equations in the
form of the Reimann–Hilbert problem is given. This allows us to study integrable spin chains …
form of the Reimann–Hilbert problem is given. This allows us to study integrable spin chains …
Resurgence and 1/N expansion in integrable field theories
L Di Pietro, M Mariño, G Sberveglieri… - Journal of High Energy …, 2021 - Springer
A bstract 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 …
after restricting to a given order in 1/N, making the 1/N expansion a natural testing ground for …
The large-N expansion of unitary-matrix models
The general features of the 1/N expansion in statistical mechanics and quantum field theory
are briefly reviewed both from the theoretical and from the phenomenological point of view …
are briefly reviewed both from the theoretical and from the phenomenological point of view …
New renormalons from analytic trans-series
M Mariño, R Miravitllas, T Reis - Journal of High Energy Physics, 2022 - Springer
A bstract We study the free energy of integrable, asymptotically free field theories in two
dimensions coupled to a conserved charge. We develop methods to obtain analytic …
dimensions coupled to a conserved charge. We develop methods to obtain analytic …
[HTML][HTML] The full analytic trans-series in integrable field theories
We analyze a family of generalized energy densities in integrable quantum field theories in
the presence of an external field coupled to a conserved charge. By using the Wiener-Hopf …
the presence of an external field coupled to a conserved charge. By using the Wiener-Hopf …
Renormalons in integrable field theories
M Marino, T Reis - Journal of High Energy Physics, 2020 - Springer
A bstract 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 …
compute exactly the ground state energy in the presence of an external field coupled to a …
Large- Principal Chiral Model in Arbitrary External Fields
V Kazakov, E Sobko, K Zarembo - Physical Review Letters, 2024 - APS
We report the explicit solution for the vacuum state of the two-dimensional SU (N) principal
chiral model at large N for an arbitrary set of chemical potentials and any interaction …
chiral model at large N for an arbitrary set of chemical potentials and any interaction …
D-theory: field quantization by dimensional reduction of discrete variables
D-theory is an alternative non-perturbative approach to quantum field theory formulated in
terms of discrete quantized variables instead of classical fields. Classical scalar fields are …
terms of discrete quantized variables instead of classical fields. Classical scalar fields are …
On the structure of trans-series in quantum field theory
M Marino, R Miravitllas, T Reis - arXiv preprint arXiv:2302.08363, 2023 - arxiv.org
Many observables in quantum field theory can be expressed in terms of trans-series, in
which one adds to the perturbative series a typically infinite sum of exponentially small …
which one adds to the perturbative series a typically infinite sum of exponentially small …