36 citations · 190 across the 13 of their papers we have counts for
13 papers
On the Structure of Trans-Series in Quantum Field Theory
Marcos Marino, Ramon Miravitllas, Tomás Reis
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 cor…
On the resurgence of renormalons in integrable theories
Tomas Reis
In this thesis we explore the physics of renormalons in integrable models under the framework of resurgence. In the first part, we review some background on resurgence, integrabili…
Instantons, renormalons and the theta angle in integrable sigma models
Marcos Marino, Ramon Miravitllas, Tomas Reis
Some sigma models which admit a theta angle are integrable at both and . This includes the well-known sigma model and two families of coset sigma…
New renormalons from analytic trans-series
Marcos Marino, Ramon Miravitllas, Tomas Reis
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 expressions for it…
Testing the Bethe ansatz with large N renormalons
Marcos Marino, Ramon Miravitllas, Tomas Reis
The ground state energy of integrable asymptotically free theories can be conjecturally computed by using the Bethe ansatz, once the theory has been coupled to an external potentia…
Three roads to the energy gap
Marcos Marino, Tomas Reis
We determine analytically the energy gap at weak coupling in the attractive multi-component Gaudin--Yang model, an integrable model which describes interacting fermions in one dime…
Resurgence and renormalons in the one-dimensional Hubbard model
Marcos Marino, Tomas Reis
We use resurgent analysis to study non-perturbative aspects of the one-dimensional, multicomponent Hubbard model with an attractive interaction and arbitrary filling. In the two-co…
A new renormalon in two dimensions
Marcos Marino, Tomas Reis
According to standard lore, perturbative series of super-renormalizable theories have only instanton singularities. In this paper we show that two-dimensional scalar theories with…
Renormalons in integrable field theories
Marcos Marino, Tomas Reis
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…
Exact perturbative results for the Lieb-Liniger and Gaudin-Yang models
Marcos Marino, Tomas Reis
We present a systematic procedure to extract the perturbative series for the ground state energy density in the Lieb-Liniger and Gaudin-Yang models, starting from the Bethe ansatz…
Resurgence for superconductors
Marcos Marino, Tomas Reis
An important non-perturbative effect in quantum physics is the energy gap of superconductors, which is exponentially small in the coupling constant. A natural question is whether t…
A new approximation method for geodesics on the space of Kähler metrics using complexified symplectomorphisms and Gröbner Lie series
José Mourão, João P. Nunes, Tomás Reis
It has been shown that the Cauchy problem for geodesics in the space of Kähler metrics with a fixed cohomology class on a compact complex manifold can be effectively reduced to…
Recovering -invariant toric Kähler metrics on from the torus equivariant spectrum
Tomás A. Reis, Rosa Sena-Dias
In this note we prove that toric Kähler metrics on complex projective space which are also -invariant are determined by their equivariant spectrum i.e. the list of eigenvalue…