تقرير
Canonical Analysis of Algebraic String Actions
| العنوان: | Canonical Analysis of Algebraic String Actions |
|---|---|
| المؤلفون: | Fairbairn, Winston J., Noui, Karim, Sardelli, Francesco |
| المصدر: | JHEP 1001:045,2010 |
| سنة النشر: | 2009 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, General Relativity and Quantum Cosmology |
| الوصف: | We investigate the canonical aspects of the algebraic first order formulation of strings introduced two decades ago by Balachandran and collaborators. We slightly enlarge the Lagrangian framework and show the existence of a self-dual formulation and of an Immirzi-type parameter reminiscent of four-dimensional first order gravity. We perform a full Hamiltonian analysis of the self-dual case: we extract the first class constraints and construct the Dirac bracket associated to the second class constraints. The first class constraints contain the diffeomorphisms algebra on the world-sheet, and the coordinates are shown to be non-commutative with respect to the Dirac bracket. The Hamilton equations in a particular gauge are shown to reproduce the wave equation for the string coordinates. In the general, non-self-dual case, we also explicit the first class constraints of the system and show that, unlike the self-dual formulation, the theory admits an extra propagating degree of freedom than the two degrees of freedom of conventional string theory. This prevents the general algebraic string from being strictly equivalent to the Nambu-Goto string. Comment: Title changed. Presentation improved. Typos corrected |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP01(2010)045 |
| الوصول الحر: | http://arxiv.org/abs/0908.0953Test |
| رقم الانضمام: | edsarx.0908.0953 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP01(2010)045 |
|---|