Large N classical equations and their quantum significance |
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Authors: | A Jevicki H Levine |
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Institution: | Department of Physics, Brown University, Providence, Rhode Island 06259 USA;Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138 USA |
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Abstract: | We show that the large N limits of a wide variety of vector models may be obtained by studying the classical equations of motion. In particular, we derive a constraint which allows us to choose solutions of the classical field equations which directly give the correlation functions of N → ∞ quantum system. Models studied here include quantum mechanics on a sphere, two-dimensional linear and nonlinear O(N) field theories and the CPN model. |
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