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Topological Rigid String Theory and Two Dimensional QCD
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hǒrava, Petr |
| Copyright Year | 1996 |
| Abstract | We present a string theory that reproduces the large-N expansion of two dimensional Yang-Mills gauge theory on arbitrary surfaces. First, a new class of topological sigma models is introduced, with path integrals localized to the moduli space of harmonic maps. The Lagrangian of these harmonic topological sigma models is of fourth order in worldsheet derivatives. Then we gauge worldsheet diffeomorphisms by introducing the induced world-sheet metric. This leads to a topological string theory, whose Lagrangian coincides in the bose sector with the rigid string Lagrangian discussed some time ago by Polyakov and others as a candidate for QCD string theory. The path integral of this topological rigid string theory is localized to the moduli spaces of minimal-area maps, and calculates their Euler numbers. The dependence of the large-N QCD partition functions on the target area emerges from measuring the volume of the moduli spaces, and can be reproduced by adding a Nambu-Goto term (improved by fermionic terms) to the Lagrangian of the topological rigid string. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-th/9507060v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Byers-Yang theorem Euler Goto Map Muscle Rigidity Path integral formulation YANG |
| Content Type | Text |
| Resource Type | Article |
