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Quasi-Topological Field Theories in Two Dimensions as Soluble Models
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cunha, Bruno G. Carneiro Da Teotonio-Sobrinho, Paulo |
| Copyright Year | 1998 |
| Abstract | We study a class of lattice field theories in two dimensions that includes gauge theories. Given a two dimensional orientable surface of genus g, the partition function Z is defined for a triangulation consisting of n triangles of area ǫ. The reason these models are called quasi-topological is that Z depends on g, n and ǫ but not on the details of the triangulation. They are also soluble in the sense that the computation of their partition functions can be reduced to a soluble one dimensional problem. We show that the continuum limit is well defined if the model approaches a topological field theory in the zero area limit, i.e., ǫ → 0 with finite n. We also show that the universality classes of such quasi-topological lattice field theories can be easily classified. Yang-Mills and generalized Yang-Mills theories appear as particular examples of such continuum limits. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-th/9703014v1.pdf |
| Alternate Webpage(s) | http://cds.cern.ch/record/321520/files/9703014.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Byers-Yang theorem Class Classification Computation (action) Dimensions Genus Partition function (mathematics) Quantum field theory Triune continuum paradigm Universal Turing machine Yang Deficiency triangulation |
| Content Type | Text |
| Resource Type | Article |
