The Screening Mass Squared in Hot Scalar Theory to Order $g^5$ Using Effective Field Theory

Physics – High Energy Physics – High Energy Physics - Phenomenology

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14 pages, LATEX, 5 figures. Replaces incorrect version sent august 7

Scientific paper

10.1103/PhysRevD.57.5004

We study massless $g^2\Phi^4$-theory at high temperature and with zero chemical potential. Using modern effective field theory methods,% recently developed by Braaten and Nieto, we derive the screening mass squared to order $g^5$. It is demonstrated that the result is renormalization group invariant to this order in the coupling constant. Renormalization group methods are used to sum up leading logarithms of $g$.

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