O'Connor, Denjoe, Santiago, J. A. and Stephens, C. R.
(2008)
*An ab initio Calculation of the Universal Equation of State for the O(N) Model.*
Journal of Physics A: Mathematical and Theoretical, 42 (4).
045003.
ISSN 1751-8113

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## Abstract

Using an Environmentally Friendly Renormalization Group we derive an ab initio universal scaling form for the equation of state for the O(N) model, y = f(x), that exhibits all required analyticity properties in the limits x → 0, x → ∞ and x → −1. Unlike current methodologies based on a phenomenological scaling ansatz the scaling function is derived solely from the underlying Landau-Ginzburg-Wilson Hamiltonian and depends only on the three Wilson functions γ_λ , γ_φ and γ_(φ^2) which exhibit a non-trivial crossover between the Wilson-Fisher fixed point and the strong coupling fixed point associated with the Goldstone modes on the coexistence curve. We give explicit results for N = 2, 3 and 4 to one-loop order and compare with known results.

Item Type: | Article |
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Divisions: | School of Theoretical Physics > Preprints |

Date Deposited: | 05 Oct 2017 19:19 |

Last Modified: | 15 Dec 2022 08:54 |

URI: | https://dair.dias.ie/id/eprint/233 |

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