相关论文: Two-dimensional models

Contribution to the Encyclopedia of Mathematical Physics (Elsevier, 2006): a brief and (hopefully) pedagogical introduction to quantum field theory models describing particles in external fields is presented. Following the instructions, the…

This article will appear in the Encyclopedia of Mathematical Physics (Elsevier, 2006).

Short review article on quantum computation accepted for Supplement III, Encyclopaedia of Mathematics (publication expected Summer 2001). See also http://www.wkap.nl/series.htm/ENM

Draft version of an article prepared for the Encyclopedia of Mathematical Physics, Elsevier, to appear in 2006.

Review of the two volume set "The Quantum Theory of Fields" by S. Weinberg is presented.

This is a draft version of Part II of a three-part textbook on quantum field theory.

This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.

A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.

We review various aspects of (infinite) quantum group symmetries in 2D massive quantum field theories. We discuss how these symmetries can be used to exactly solve the integrable models. A possible way for generalizing to three dimensions…

An encyclopedia article on mathematical aspects of quantum field theory in curved spacetime. Section titles are: Introduction and preliminaries; Construction of *-algebra for a real linear scalar field on globally hyperbolic spacetimes and…

These are expanded notes of a course on basics of quantum field theory for mathematicians given by the author at MIT.

Prepared for the Quantum Field Theory section of the Encyclopedia of Mathematical Physics, Elsevier, 2006. A brief introduction to the methodology and techniques of perturbative relativistic quantum field theory is presented.

This paper is a collection of lecture notes on the superfield approach in three- and four-dimensional supersymmetric quantum field theory. Many examples of the applications of this approach to different superfield models are considered.

After surveying the quantum kinematics and dynamics of statistical transmutation, I show how this concept suggests a phase diagram for the two-dimensional matter in a magnetic field, as a function of quantum statistics. I discuss the…

Electronic version of Entry in Encyclopedia of Nonlinear Science.

A discussion of different criteria of consistency of quantum field theory from the point of view of physics and mathematics.

An overview of the accomplishments of constructive quantum field theory is provided.

A comprehensive introduction to two-dimensional conformal field theory is given.

We provide an overview of basic concepts, tools, and results of quantum field theoretical scattering theory. This article is prepared for the second edition of the Encyclopedia of Mathematical Physics, edited by M. Bojowald and R.J. Szabo,…

Some formulas and speculations are presented relative to integrable systems and quantum mechanics.