Renormalization ideas in conformal dynamics
نویسندگان
چکیده
منابع مشابه
Renormalization Ideas in Conformal Dynamics
1. Introduction How to look at a dynamical system f at a small scale? You should take a small piece of the phase space, consider the rst return map to this piece, and then rescale it to \the original size". The new dynamical system is called the renormalization Rf of the original one. It may happen that Rf looks \similar" to f, and then you can try to repeat this procedure, and construct the se...
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How to look at a dynamical system f at a small scale You should take a small piece of the phase space consider the rst return map to this piece and then rescale it to the original size The new dynamical system is called the renormalization Rf of the original one It may happen that Rf looks similar to f and then you can try to repeat this procedure and construct the second renormalization R f et...
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We provide a non-renormalization theorem for the coefficients of the conformal anomaly associated with operators with vanishing anomalous dimensions. Such operators include conserved currents and chiral operators in superconformal field theories. We illustrate the theorem by computing the conformal anomaly of 2-point functions both by a computation in the conformal field theory and via the adS/...
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We analyze the problem of the existing ambiguities in the conformal anomaly in theories with external scalar field in curved backgrounds. In particular, we consider the anomaly of self-interacting massive scalar field theory and of Yukawa model in the massless conformal limit. In all cases the ambiguities are related to finite renormalizations of a local non-minimal terms in the effective actio...
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ژورنال
عنوان ژورنال: Current Developments in Mathematics
سال: 1995
ISSN: 1089-6384,2164-4829
DOI: 10.4310/cdm.1995.v1995.n1.a2