Renormalization group and diffusion equation
Keyword(s):
Abstract We study relationship between renormalization group and diffusion equation. We consider the exact renormalization group equation for a scalar field that includes an arbitrary cutoff function and an arbitrary quadratic seed action. As a generalization of the result obtained by Sonoda and Suzuki, we find that the correlation functions of diffused fields with respect to the bare action agree with those of bare fields with respect to the effective action, where the diffused field obeys a generalized diffusion equation determined by the cutoff function and the seed action and agrees with the bare field at the initial time.
1989 ◽
Vol 04
(10)
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pp. 941-951
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2003 ◽
Vol 18
(05)
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pp. 767-809
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2002 ◽
Vol 17
(32)
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pp. 4871-4902
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2001 ◽
Vol 16
(11)
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pp. 2041-2046
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1998 ◽
Vol 12
(12n13)
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pp. 1321-1341
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Keyword(s):
2004 ◽
Vol 332
(1-2)
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pp. 93-100
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