We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

We show how to perform accurate, nonperturbative and controlled calculations in quantum
field theory in d dimensions. We use the truncated conformal space approach, a Hamiltonian …

We consider the time evolution in the repulsive sine-Gordon quantum field theory after the
system is prepared in a particular class of initial states. We focus on the time dependence of …

We describe the volume dependence of matrix elements of local fields to all orders in
inverse powers of the volume (ie, only neglecting contributions that decay exponentially with …

A bstract We apply the massive analogue of the truncated conformal space approach to
study the two dimensional ϕ 4 theory in finite volume. We focus on the broken phase and …

A bstract We study the 2d chiral Gross-Neveu model at finite temperature T and chemical
potential μ. The analysis is performed by relating the theory to a SU (N)× U (1) Wess-Zumino …

A bstract We present a new framework for studying conformal field theories deformed by one
or more relevant operators. The original CFT is described in infinite volume using a basis of …

In this paper we continue the study of the truncated conformal space approach to perturbed
conformal field theories, this time applied to bulk perturbations and focusing on the leading …

We study the quantum sine-Gordon model within a nonperturbative functional
renormalization-group approach (FRG). This approach is benchmarked by comparing our …

The two-frequency sine-Gordon model is examined. The focus is mainly on the case when
the ratio of the frequencies is 1/2, given the recent interest in the literature. We discuss the …