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Functional Callan-Symanzik equations

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Functional Callan-Symanzik equations. / Alexandre, Jean; Polonyi, Janos.

In: ANNALS OF PHYSICS, Vol. 288, No. 1, 25.02.2001, p. 37.

Research output: Contribution to journalArticle

Harvard

Alexandre, J & Polonyi, J 2001, 'Functional Callan-Symanzik equations', ANNALS OF PHYSICS, vol. 288, no. 1, pp. 37. https://doi.org/10.1006/aphy.2000.6109

APA

Alexandre, J., & Polonyi, J. (2001). Functional Callan-Symanzik equations. ANNALS OF PHYSICS, 288(1), 37. https://doi.org/10.1006/aphy.2000.6109

Vancouver

Alexandre J, Polonyi J. Functional Callan-Symanzik equations. ANNALS OF PHYSICS. 2001 Feb 25;288(1):37. https://doi.org/10.1006/aphy.2000.6109

Author

Alexandre, Jean ; Polonyi, Janos. / Functional Callan-Symanzik equations. In: ANNALS OF PHYSICS. 2001 ; Vol. 288, No. 1. pp. 37.

Bibtex Download

@article{9c1901484827491b9e8e036defa69ea1,
title = "Functional Callan-Symanzik equations",
abstract = "We describe a functional method to obtain the exact evolution equation of the effective action with a parameter of the bare theory. When this parameter happens to be the bare mass of the scalar field, we find a functional generalization of the Callan-Symanzik equations. Another possibility is when this parameter is the Planck constant and controls the amplitude of the fluctuations. We show the similarity of these equations with the Wilsonian renormalization group flows and also recover the usual one loop effective action.",
author = "Jean Alexandre and Janos Polonyi",
note = "17 pages, to appear in Annals of Physics",
year = "2001",
month = feb,
day = "25",
doi = "10.1006/aphy.2000.6109",
language = "English",
volume = "288",
pages = "37",
journal = "ANNALS OF PHYSICS",
issn = "0003-4916",
publisher = "ACADEMIC PRESS INC",
number = "1",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Functional Callan-Symanzik equations

AU - Alexandre, Jean

AU - Polonyi, Janos

N1 - 17 pages, to appear in Annals of Physics

PY - 2001/2/25

Y1 - 2001/2/25

N2 - We describe a functional method to obtain the exact evolution equation of the effective action with a parameter of the bare theory. When this parameter happens to be the bare mass of the scalar field, we find a functional generalization of the Callan-Symanzik equations. Another possibility is when this parameter is the Planck constant and controls the amplitude of the fluctuations. We show the similarity of these equations with the Wilsonian renormalization group flows and also recover the usual one loop effective action.

AB - We describe a functional method to obtain the exact evolution equation of the effective action with a parameter of the bare theory. When this parameter happens to be the bare mass of the scalar field, we find a functional generalization of the Callan-Symanzik equations. Another possibility is when this parameter is the Planck constant and controls the amplitude of the fluctuations. We show the similarity of these equations with the Wilsonian renormalization group flows and also recover the usual one loop effective action.

U2 - 10.1006/aphy.2000.6109

DO - 10.1006/aphy.2000.6109

M3 - Article

VL - 288

SP - 37

JO - ANNALS OF PHYSICS

JF - ANNALS OF PHYSICS

SN - 0003-4916

IS - 1

ER -

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