Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-09-27
Physics
High Energy Physics
High Energy Physics - Theory
PhD thesis, Latex, 228 pages and 26 figures
Scientific paper
The bootstrap program for 1+1-dimensional integrable Quantum Field Theories (QFT's) is developed to a large extent for the Homogeneous sine-Gordon (HSG) models. This program can be divided into various steps, which include the computation of the exact S-matrix, Form Factors of local operators and correlation functions, as well as the identification of the operator content of the QFT and the development of various consistency checks. Taking as an input the S-matrix proposal for the HSG-models, we confirm its consistency by carrying out both a Thermodynamic Bethe Ansatz (TBA) and a Form Factor analysis. In contrast to many other 1+1-dimensional integrable models studied in the literature, the HSG-models break parity, both at the level of the Lagrangian and S-matrix, and their spectrum includes unstable particles. These features have specific consequences in our analysis which are given a physical interpretation. By exploiting the Form Factor approach, we develop further the QFT advocated to the HSG-models. We evaluate correlation functions of various local operators of the model as well as Zamolodchikov's c-function and $\Delta$-sum rules. For the $SU(3)_2$-HSG model we show how the form factors of different local operators are interrelated by means of the momentum space cluster property. We find closed formulae for all $n$-particle form factors of a large class of operators of the $SU(N)_2$-HSG models. These formulae are expressed in terms of universal building blocks which allow both a determinant and an integral representation.
No associations
LandOfFree
Bootstrap Methods in 1+1-Dimensional Quantum Field Theories: The Homogeneous Sine-Gordon Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bootstrap Methods in 1+1-Dimensional Quantum Field Theories: The Homogeneous Sine-Gordon Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bootstrap Methods in 1+1-Dimensional Quantum Field Theories: The Homogeneous Sine-Gordon Models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-514108