# Course 6: Lectures on Non-perturbative Field Theory and Quantum Impurity Problems

@inproceedings{Saleur1999Course6L, title={Course 6: Lectures on Non-perturbative Field Theory and Quantum Impurity Problems}, author={H. Saleur}, year={1999} }

These lectures provide a simple introduction to non perturbative methods of field theory in 1 + 1 dimensions, and their application to the study of strongly correlated condensed matter problems — in particular quantum impurity problems. The level is moderately advanced, and takes the student all the way to the most recent progress in the field: many exercises and additional references are provided. In the first part, I give a sketchy introduction to conformal field theory. I then explain how…

## 77 Citations

Integrable Quantum Field Theories, in the Bulk and with a Boundary

- Mathematics
- 2000

In this thesis, we consider the massive field theories in 1+1 dimensions known as affine Toda quantum field theories. These have the special property that they possess an infinite number of conserved…

Finite temperature quantum field theory with impurities

- Physics
- 2004

We apply the concept of reflection–transmission (RT) algebra, originally developed in the context of integrable systems in 1+1 space–time dimensions, to the study of finite temperature quantum field…

Loop operators and the Kondo problem

- Mathematics
- 2004

We analyse the renormalisation group flow for D-branes in WZW models from the point of view of the boundary states. To this end we consider loop operators that perturb the boundary states away from…

Defects in Higher-Dimensional Quantum Field Theory

- Physics
- 2007

The present work is addressed to defects and boundaries in quantum field theory considering the application to AdS/CFT correspondence.
We examine interactions of fermions with spins localised on…

Bosonization and scale invariance on quantum wires

- Physics, Mathematics
- 2007

We develop a systematic approach to bosonization and vertex algebras on quantum wires in the form of star graphs. The related bosonic fields propagate freely in the bulk of the graph, but interact…

N = 2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory

- Physics
- 2003

Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions

- Mathematics
- 2007

Relevant boundary perturbations of CFT: A case study

- Physics
- 2001

We consider simple CFT models which contain massless bosons, or massless fermions or a supersymmetric combination of the two, on the strip. We study the deformations of these models by relevant…

Solving the quantum nonlinear Schrödinger equation with δ-type impurity

- Physics
- 2005

We establish the exact solution of the nonlinear Schrodinger equation with a delta-function impurity, representing a pointlike defect which reflects and transmits. We solve the problem both at the…

Spontaneous symmetry breaking in the non-linear Schrödinger hierarchy with defect

- Mathematics, Physics
- 2005

We introduce and solve the one-dimensional quantum non-linear Schrodinger (NLS) equation for an N-component field defined on the real line with a defect sitting at the origin. The quantum solution is…

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