Aspects of integrable quantum field theories with boundaries

E Corrigan

Aspects of integrable quantum field theories with boundaries

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The purpose of the talk is to give the flavour of a dynamical argument which makes use of boundary states in order to calculate the dependence of certain quantities, such as reflection factors, on the coupling constants introduced at a boundary by integrable boundary conditions. The idea is to consider the boundary state spectrum from two complementary points of view. The first is based on generating the spectrum using bootstrap techniques while the second uses a semi-classical quantization of classical periodic solutions which are confined to a region near the boundary, Comparing the two viewpoints leads to new dynamical information. Rather than attempting a general discussion the talk will concentrate on two examples. The first illustrates the principal features and can be computed exactly-simply a free massive field. The complexities and subtleties of the main ideas are illustrated within the sine-Gordon model.

Original language	English
Title of host publication	INTEGRABLE STRUCTURES OF EXACTLY SOLVABLE TWO-DIMENSIONAL MODELS OF QUANTUM FIELD THEORY
Editors	S Pakuliak, G VonGehlen
Place of Publication	DORDRECHT
Publisher	Springer
Pages	95-107
Number of pages	13
ISBN (Print)	0-7923-7183-6
Publication status	Published - 2001
Event	NATO Advanced Research Workshop on Dynamical Symmetries of Integrable Quantum Field Theories and Lattice Models - KIEV Duration: 25 Sept 2000 → 30 Sept 2000

Conference

Conference	NATO Advanced Research Workshop on Dynamical Symmetries of Integrable Quantum Field Theories and Lattice Models
City	KIEV
Period	25/09/00 → 30/09/00

Keywords

S-MATRIX
GORDON MODEL
STATE

Cite this

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title = "Aspects of integrable quantum field theories with boundaries",

abstract = "The purpose of the talk is to give the flavour of a dynamical argument which makes use of boundary states in order to calculate the dependence of certain quantities, such as reflection factors, on the coupling constants introduced at a boundary by integrable boundary conditions. The idea is to consider the boundary state spectrum from two complementary points of view. The first is based on generating the spectrum using bootstrap techniques while the second uses a semi-classical quantization of classical periodic solutions which are confined to a region near the boundary, Comparing the two viewpoints leads to new dynamical information. Rather than attempting a general discussion the talk will concentrate on two examples. The first illustrates the principal features and can be computed exactly-simply a free massive field. The complexities and subtleties of the main ideas are illustrated within the sine-Gordon model.",

keywords = "S-MATRIX, GORDON MODEL, STATE",

author = "E Corrigan",

year = "2001",

language = "English",

isbn = "0-7923-7183-6",

pages = "95--107",

editor = "S Pakuliak and G VonGehlen",

booktitle = "INTEGRABLE STRUCTURES OF EXACTLY SOLVABLE TWO-DIMENSIONAL MODELS OF QUANTUM FIELD THEORY",

publisher = "Springer",

address = "Germany",

note = "NATO Advanced Research Workshop on Dynamical Symmetries of Integrable Quantum Field Theories and Lattice Models ; Conference date: 25-09-2000 Through 30-09-2000",

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TY - GEN

T1 - Aspects of integrable quantum field theories with boundaries

AU - Corrigan, E

PY - 2001

Y1 - 2001

N2 - The purpose of the talk is to give the flavour of a dynamical argument which makes use of boundary states in order to calculate the dependence of certain quantities, such as reflection factors, on the coupling constants introduced at a boundary by integrable boundary conditions. The idea is to consider the boundary state spectrum from two complementary points of view. The first is based on generating the spectrum using bootstrap techniques while the second uses a semi-classical quantization of classical periodic solutions which are confined to a region near the boundary, Comparing the two viewpoints leads to new dynamical information. Rather than attempting a general discussion the talk will concentrate on two examples. The first illustrates the principal features and can be computed exactly-simply a free massive field. The complexities and subtleties of the main ideas are illustrated within the sine-Gordon model.

AB - The purpose of the talk is to give the flavour of a dynamical argument which makes use of boundary states in order to calculate the dependence of certain quantities, such as reflection factors, on the coupling constants introduced at a boundary by integrable boundary conditions. The idea is to consider the boundary state spectrum from two complementary points of view. The first is based on generating the spectrum using bootstrap techniques while the second uses a semi-classical quantization of classical periodic solutions which are confined to a region near the boundary, Comparing the two viewpoints leads to new dynamical information. Rather than attempting a general discussion the talk will concentrate on two examples. The first illustrates the principal features and can be computed exactly-simply a free massive field. The complexities and subtleties of the main ideas are illustrated within the sine-Gordon model.

KW - S-MATRIX

KW - GORDON MODEL

KW - STATE

M3 - Conference contribution

SN - 0-7923-7183-6

SP - 95

EP - 107

BT - INTEGRABLE STRUCTURES OF EXACTLY SOLVABLE TWO-DIMENSIONAL MODELS OF QUANTUM FIELD THEORY

A2 - Pakuliak, S

A2 - VonGehlen, G

PB - Springer

CY - DORDRECHT

T2 - NATO Advanced Research Workshop on Dynamical Symmetries of Integrable Quantum Field Theories and Lattice Models

Y2 - 25 September 2000 through 30 September 2000

ER -