Callan-Symanzik Equations and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ε</mi></math></span> Expansions

P. K. Mitter

doi:10.1103/PhysRevD.7.2927

Callan-Symanzik Equations and $ε$ Expansions

P. K. Mitter

Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

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Phys. Rev. D 7, 2927 – Published 15 May, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.2927

Abstract

We analyze a noncanonically renormalized $φ^{4}$ theory in $4 - ε$ dimensions with the aid of normal-product methods. By a systematic use of Callan-Symanzik equations we show how a critical point can be determined and the anomalous scale dimensions of all composite operators obtained by using Wilson's $ε$ expansion. These methods are also applied to the coefficient distributions appearing in operator-product expansions.

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Physical Review D

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Callan-Symanzik Equations and $ε$ Expansions

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Callan-Symanzik Equations and ε Expansions

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Callan-Symanzik Equations and $ε$ Expansions