Non-critical String Theory: Classical and Quantum Aspects
Stanislav Klimenko, Igor Nikitin · 2007
Preface Introduction Structure of classical solutions of Nambu-Goto model Mathematical background of the classical Nambu-Gotomodel Classi?cation of singularities on world sheets Classofexotic solutions Class of solutions with breaks Gribov's copies in solutions space Supplement: proof of lemmas Structure of quantum solutions of Nambu-Goto model Mathematical background of the quantum Nambu-Goto model Dirac's quantisation of special cases Gupta-Bleuler's quantisation of the general case Dirac's quantisation of the general case Supplement: proof of lemmas Computational methods and algorithms used in the investigation of Nambu-Goto model Computer visualisation of string dynamics Gro..bner bases for investigation of polynomial systems Factorisation of matrix polynomials Algorithms of matrix compression Generation of quantum spectra Bibliography List of denotations Subject index.