Is there quantum gravity in two dimensions?
نویسندگان
چکیده
منابع مشابه
Quantum R Gravity in Two Dimensions
Two-dimensional quantum gravity with an R2 term is investigated in the continuum framework. It is shown that the partition function for small area A is highly suppressed by an exponential factor exp{−2π(1 − h)2/(m2A)}, where 1/m2 is the coefficient (times 32π) of R2 and h is the genus of the surface. Although positivity is violated, at a short distance scale ( ≪ 1/m) surfaces are smooth and the...
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Path integral quantization of generic two-dimensional dilaton gravity nonminimally coupled to a Dirac fermion is performed. After integrating out geometry exactly, perturbation theory is employed in the matter sector to derive the lowest order gravitational vertices. Consistency with the case of scalar matter is found and issues of relevance for bosonisation are pointed out. PACS numbers: 04.60...
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Quantum gravity is investigated in the limit of a large number of space-time dimensions, using as an ultraviolet regularization the simplicial lattice path integral formulation. In the weak field limit the appropriate expansion parameter is determined to be 1/d. For the case of a simplicial lattice dual to a hypercube, the critical point is found at kc/λ = 1/d (with k = 1/8πG) separating a weak...
متن کاملFractal Structures of Quantum Gravity in Two Dimensions
Recent numerical results on the fractal structure of two-dimensional quantum gravity coupled to c = −2 matter are reviewed. Analytic derivation of the fractal dimensions based on the Liouville theory and diffusion equation is also discussed. Excellent agreements between the numerical and theoretical results are obtained. Some problems on the non-universal nature of the fractal structure in the ...
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It is shown that conformal matter with cL 6= cR can be consistently coupled to two-dimensional ‘frame’ gravity. The theory is quantized, following David, and Distler and Kawai, using the derivation of their ansatz due to Mavromatos and Miramontes, and D’Hoker and Kurzepa. New super-selection rules are found by requiring SL(2,C) invariance of correlation functions on the plane. There is no analo...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1995
ISSN: 0550-3213
DOI: 10.1016/0550-3213(95)00349-w