Critical exponents without the epsilon expansion

Mark Alford

doi:10.1016/0370-2693(94)01005-6

Critical exponents without the epsilon expansion

Mark Alford

Department of Physics

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

Abstract

In a computation no harder than the calculation of the 1-loop effective potential, we show that the Wilson renormalization group yields the fixed point couplings and critical exponents of 3-dimensional O(N) scalar field theory, with results close to those obtained in high-order ε-expansion and large-N calculations. We discuss the prospects for an even more precise computation.

Original language	English
Pages (from-to)	237-242
Number of pages	6
Journal	Physics Letters B
Volume	336
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(94)01005-6
State	Published - Sep 22 1994

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10.1016/0370-2693(94)01005-6

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title = "Critical exponents without the epsilon expansion",

abstract = "In a computation no harder than the calculation of the 1-loop effective potential, we show that the Wilson renormalization group yields the fixed point couplings and critical exponents of 3-dimensional O(N) scalar field theory, with results close to those obtained in high-order ε-expansion and large-N calculations. We discuss the prospects for an even more precise computation.",

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N2 - In a computation no harder than the calculation of the 1-loop effective potential, we show that the Wilson renormalization group yields the fixed point couplings and critical exponents of 3-dimensional O(N) scalar field theory, with results close to those obtained in high-order ε-expansion and large-N calculations. We discuss the prospects for an even more precise computation.

AB - In a computation no harder than the calculation of the 1-loop effective potential, we show that the Wilson renormalization group yields the fixed point couplings and critical exponents of 3-dimensional O(N) scalar field theory, with results close to those obtained in high-order ε-expansion and large-N calculations. We discuss the prospects for an even more precise computation.

UR - https://www.scopus.com/pages/publications/0000825961

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DO - 10.1016/0370-2693(94)01005-6

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SN - 0370-2693

VL - 336

SP - 237

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JO - Physics Letters B

JF - Physics Letters B

IS - 2

ER -

Critical exponents without the epsilon expansion

Abstract

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