Beta Functions in the Integral Equation Approach to the Exact Renormalization Group

dc.creatorSonoda, Hidenori
dc.date2003-02-07
dc.date.accessioned2026-07-07T04:14:50Z
dc.date.available2026-07-07T04:14:50Z
dc.descriptionWe incorporate running parameters and anomalous dimensions into the framework of the exact renormalization group. We modify the exact renormalization group differential equations for a real scalar field theory, using the anomalous dimensions of the squared mass and the scalar field. Following a previous paper in which an integral equation approach to the exact renormalization group was introduced, we reformulate the modified differential equations as integral equations that define the continuum limit directly in terms of a running squared mass and self-coupling constant. Universality of the continuum limit under an arbitrary change of the momentum cutoff function is discussed using the modified exact renormalization group equations.
dc.description40 pages, 4 figures, LaTeX2e with REVTEX4
dc.identifierhttps://arxiv.org/abs/hep-th/0302044
dc.identifierhttp://arxiv.org/abs/hep-th/0302044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51782
dc.subjectHigh Energy Physics - Theory
dc.titleBeta Functions in the Integral Equation Approach to the Exact Renormalization Group
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