activity
20192026
most citedThe full analytic trans-series in integrable field theories

20 citations · 108 across the 17 of their papers we have counts for

collaborators

18 papers

quant-ph2026

On the two-copy distillability of Werner states and a new partial trace inequality

Thomas C. Fraser, Felix Huber, Balázs Pozsgay +1

Problem 5 in {\it Five Open Problems in Quantum Information Theory} [PRX Quantum 3, 010101 (2022)], asks whether the two-ququart Werner state is two-copy dis…

cond-mat.stat-mech2026

Solving models with generalized free fermions II: Path-product expansion and conserved charges

Kohei Fukai, Balázs Pozsgay, István Vona

Free-fermion solvability in quantum spin systems is increasingly understood to be governed by a graph Clifford algebra defined from the frustration graph of the Hamiltonian. When t…

cond-mat.stat-mech2026

Bethe Ansatz with a Large Language Model

Balázs Pozsgay, István Vona

We explore the capability of a Large Language Model (LLM) to perform specific computations in mathematical physics: the task is to compute the coordinate Bethe Ansatz solution of s…

cond-mat.stat-mech2026

Solving models with generalized free fermions I: Algebras and eigenstates

Kohei Fukai, Balázs Pozsgay, István Vona

We study quantum spin chains solvable via hidden free fermionic structures. We study the algebras behind such models, establishing connections to the mathematical literature of the…

cond-mat.stat-mech2025★ 2 cited

A free fermions in disguise model with claws

Kohei Fukai, István Vona, Balázs Pozsgay

Recently, several spin chain models have been discovered that admit solutions in terms of "free fermions in disguise." A graph-theoretical treatment of such models was also establi…

hep-th2025

The complete trans-series for conserved charges in the Lieb-Liniger model

Zoltán Bajnok, János Balog, Ramon Miravitllas +2

We determine the complete trans-series solution for the (non-relativistic) moments of the rapidity density in the Lieb-Liniger model. The trans-series is written explicitly in term…

hep-th2025

The complete trans-series for conserved charges in integrable field theories

Zoltán Bajnok, János Balog, István Vona

We analyze the vacuum expectation values of conserved charges in two dimensional integrable theories. We study the situations when the ground-state can be described by a single int…

cond-mat.stat-mech2024★ 4 cited

Exact real time dynamics with free fermions in disguise

István Vona, Márton Mestyán, Balázs Pozsgay

We consider quantum spin chains with a hidden free fermionic structure, distinct from the Jordan-Wigner transformation and its generalizations. We express selected local operators…

hep-th2024★ 1 cited

Wiener-Hopf solution of the free energy TBA problem and instanton sectors in the O(3) sigma model

Zoltán Bajnok, János Balog, István Vona

Perturbation theory in asymptotically free quantum field theories is asymptotic. The factorially growing perturbative coefficients carry information about non-perturbative correcti…

cond-mat.stat-mech2024★ 8 cited

Adiabatic gauge potential and integrability breaking with free fermions

Balázs Pozsgay, Rustem Sharipov, Anastasiia Tiutiakina +1

We revisit the problem of integrability breaking in free fermionic quantum spin chains. We investigate the so-called adiabatic gauge potential (AGP), which was recently proposed as…

hep-th2023★ 1 cited

Finite volume form factors in integrable theories

Zoltan Bajnok, Georgios Linardopoulos, István M. Szécsényi +1

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 st…

hep-th2022★ 20 cited

The full analytic trans-series in integrable field theories

Zoltan Bajnok, Janos Balog, Istvan Vona

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-Hop…

hep-th2022★ 7 cited

Running coupling and non-perturbative corrections for O free energy and for disk capacitor

Zoltan Bajnok, Janos Balog, Arpad Hegedus +1

We reconsider the complete solution of the linear TBA equation describing the energy density of finite density states in the nonlinear sigma models by the Wiener-Hopf method…

hep-th2021★ 17 cited

Instanton effects vs resurgence in the sigma model

Zoltan Bajnok, Janos Balog, Arpad Hegedus +1

We investigate the ground-state energy of the integrable two dimensional sigma model in a magnetic field. By determining a large number of perturbative coefficients we explo…

hep-th2021★ 18 cited

Analytic resurgence in the O(4) model

Zoltán Bajnok, János Balog, István Vona

We study the perturbative expansion of the ground state energy in the presence of an external field coupled to a conserved charge in the integrable two-dimensional O nonlinear…

hep-th2019★ 15 cited

Exact finite volume expectation values of conserved currents

Zoltan Bajnok, Istvan Vona

The vacuum expectation values of conserved currents play an essential role in the generalized hydrodynamics of integrable quantum field theories. We use analytic continuation to ex…

hep-th2019

Finite volume corrections of non-diagonal form factors

Istvan Vona

This thesis presents Lüscher's - and -term corrections to volume dependence of non-diagonal finite volume form factors in the scaling Lee-Yang model. An explicit calculation…

hep-th2019★ 15 cited

Leading exponential finite size corrections for non-diagonal form factors

Zoltan Bajnok, Marton Lajer, Balint Szepfalvi +1

We derive the leading exponential finite volume corrections in two dimensional integrable models for non-diagonal form factors in diagonally scattering theories. These formulas are…