DOI: 10.1142/s0217751x95001613. CRITICAL TEMPERATURE AND AMPLITUDE RATIOS FROM A FINITE TEMPERATURE RENORMALIZATION GROUP

CRITICAL TEMPERATURE AND AMPLITUDE RATIOS FROM A FINITE TEMPERATURE RENORMALIZATION GROUP

10.1142/s0217751x95001613

Crossref journal-article

World Scientific Pub Co Pte Lt

International Journal of Modern Physics A (219)

Abstract

We study λφ4 theory using an environmentally friendly finite temperature renormalization group. We derive flow equations, using a fiducial temperature as flow parameter, develop them perturbatively in an expansion free from ultraviolet and infrared divergences, then integrate them numerically from zero to temperatures above the critical temperature. The critical temperature, at which the mass vanishes, is obtained by integrating the flow equations, and is determined as a function of the zero temperature mass and coupling. We calculate the field expectation value and the minimum of the effective potential as functions of temperature and derive some universal amplitude ratios which connect the broken and symmetric phases of the theory. The latter are found to be in good agreement with those of the three-dimensional Ising model obtained from high and low temperature series expansions.

Bibliography

VAN EIJCK, M. A., OâCONNOR, D., & STEPHENS, C. R. (1995). CRITICAL TEMPERATURE AND AMPLITUDE RATIOS FROM A FINITE TEMPERATURE RENORMALIZATION GROUP. International Journal of Modern Physics A, 10(23), 3343â3358.

Authors 3

M.A. VAN EIJCK (first)
DENJOE O’CONNOR (additional)
C.R. STEPHENS (additional)

References 0 Referenced 8

None

Dates

Type	When
Created	20 years, 9 months ago (Nov. 9, 2004, 1:30 a.m.)
Deposited	6 years ago (Aug. 7, 2019, 5:15 a.m.)
Indexed	3 years, 4 months ago (March 29, 2022, 11:58 p.m.)
Issued	29 years, 11 months ago (Sept. 20, 1995)
Published	29 years, 11 months ago (Sept. 20, 1995)
Published Online	13 years, 6 months ago (Jan. 25, 2012)
Published Print	29 years, 11 months ago (Sept. 20, 1995)

Funders 0

None

BibTeX

@article{VAN_EIJCK_1995, title={CRITICAL TEMPERATURE AND AMPLITUDE RATIOS FROM A FINITE TEMPERATURE RENORMALIZATION GROUP}, volume={10}, ISSN={1793-656X}, url={http://dx.doi.org/10.1142/s0217751x95001613}, DOI={10.1142/s0217751x95001613}, number={23}, journal={International Journal of Modern Physics A}, publisher={World Scientific Pub Co Pte Lt}, author={VAN EIJCK, M.A. and O’CONNOR, DENJOE and STEPHENS, C.R.}, year={1995}, month=sep, pages={3343–3358} }

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