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Low Regularity Solutions for Gravity Water Waves II: The 2D Case
Annals of PDE, 2018The gravity water waves equations describe the evolution of the surface of an incompressible, irrotational fluid in the presence of gravity. The classical regularity threshold for the well-posedness of this system requires initial velocity field in $$H^s$
Albert Ai
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International Journal of Modern Physics A, 1989
The physical subspace of the SL (2, R) current algebra based model of induced 2d gravity is investigated. Using an appropriate ground state, an equation guaranteeing the non-negativity of this subspace is derived using a BRS analysis. In case of the ground state allowing the derivation of simple differential equations for the correlation functions the
Zalán Horváth +2 more
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The physical subspace of the SL (2, R) current algebra based model of induced 2d gravity is investigated. Using an appropriate ground state, an equation guaranteeing the non-negativity of this subspace is derived using a BRS analysis. In case of the ground state allowing the derivation of simple differential equations for the correlation functions the
Zalán Horváth +2 more
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FRACTAL STRUCTURE OF 2d - QUANTUM GRAVITY
Modern Physics Letters A, 1988We resolve renormalization problems, indicated in Ref. 1 and find explicit formulae for the spectrum of anomalous dimensions in 2d—quantum gravity. Comparison with combinatorial approximation of random surfaces and its numerical analyses shows complete agreement with all known facts.
V.G. Knizhnik +2 more
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1991
To any finite order in perturbation theory, one does not see any of the interesting nonperturbative properties of gauge theories, such as confinement, tunneling, formation of strings, etc. As a consequence, two approximations have been developed, large N methods and lattice gauge theory, to analyze gauge theories in the nonperturbative regime. However,
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To any finite order in perturbation theory, one does not see any of the interesting nonperturbative properties of gauge theories, such as confinement, tunneling, formation of strings, etc. As a consequence, two approximations have been developed, large N methods and lattice gauge theory, to analyze gauge theories in the nonperturbative regime. However,
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MULTICRITICALITY IN STABILIZED 2D QUANTUM GRAVITY
Modern Physics Letters A, 1992We study the simplest perturbation of the matrix model for pure gravity susceptible of reaching the k=3 multicritical point in the framework of the stochastic stabilization of 2D quantum gravity. We show the existence of a line of points in the phase diagram with the genuine critical behavior of the k=2 theory.
Oscar Diego, José González
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BRST analysis of physical states for 2D gravity coupled toc≦1 matter
, 1991We consider 2D gravity coupled toc≦1 conformal matter in the conformal gauge. The Liouville system is represented by a free scalar field,φL, with background charge such that the BRST operator imposing reparametrization invariance is nilpotent. We compute
P. Bouwknegt, J. McCarthy, K. Pilch
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Introduction to Nonperturbative 2D Quantum Gravity
Fortschritte der Physik/Progress of Physics, 1993We give an elementary introduction to the theory of matrix models, as applied to the study of 2 D quantum gravity. Starting from the sum over surfaces, we explain carefully the steps leading to the non-perturbative solution: discretization, duality, diagram-counting techniques, 1/N expansion, double-scaling limit, etc.
J. L. Mañes, Y. Lozano
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2D BAO vs. 3D BAO: Solving the Hubble Tension with Bimetric Cosmology
UniverseOrdinary 3D Baryon Acoustic Oscillations (BAO) data are model-dependent, requiring the assumption of a cosmological model to calculate comoving distances during data reduction. Throughout the present-day literature, the assumed model is ΛCDM. However, it
Sowmaydeep Dwivedi, Marcus Högås
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FIRST ORDER, 2D, EINSTEIN GRAVITIES
International Journal of Modern Physics D, 1996The Palatini variational method breaks down in 2D: First order forms of the Einstein action do not fix the affinity completely, as they possess an additional, Weyl, invariance absent in the second order versions.
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