Schwinger-Dyson Equation in Three-Dimensional Simplicial Quantum Gravity  | Zendy

Hirosi Ooguri | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Schwinger-Dyson Equation in Three-Dimensional Simplicial Quantum Gravity

Author(s) -

Hirosi Ooguri

Publication year - 1993

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.89.1

Subject(s) - physics , degenerate energy levels , boundary (topology) , quantum gravity , simplicial manifold , surface (topology) , factorization , invariant (physics) , spin foam , operator (biology) , mathematical physics , amplitude , gravitation , quantum , pure mathematics , quantum mechanics , mathematical analysis , mathematics , loop quantum gravity , geometry , simplicial set , algorithm , homotopy , repressor , chemistry , homotopy category , biochemistry , transcription factor , gene

We study the simplicial quantum gravity in three dimensions. Motivated by theBoulatov's model which generates a sum over simplicial complexes weighted withthe Turaev-Viro invariant, we introduce boundary operators in the simplicialgravity associated to compact orientable surfaces. An amplitude of the boundaryoperator is given by a sum over triangulations in the interior of the boundarysurface. It turns out that the amplitude solves the Schwinger-Dyson equationeven if we restrict the topology in the interior of the surface, as far as thesurface is non-degenerate. We propose a set of factorization conditions on theamplitudes which singles out a solution associated to triangulations of $S^3$.Comment: 32 pages, harvmac, HUTP-92/A05

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research