Random normal matrices and Ward identities
نویسندگان
چکیده
منابع مشابه
ar X iv : 1 10 9 . 59 41 v 3 [ m at h . C V ] 1 6 M ar 2 01 5 RANDOM NORMAL MATRICES AND WARD IDENTITIES
Abstract. Consider the random normal matrix ensemble associated with a potential on the plane which is sufficiently strong near infinity. It is known that, to a first approximation, the eigenvalues obey a certain equilibrium distribution, given by Frostman’s solution to the minimum energy problem of weighted logarithmic potential theory. On a finer scale, one can consider fluctuations of eigenv...
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Abstract. We show that in the large matrix limit, the eigenvalues of the normal matrix model for matrices with spectrum inside a compact domain with a special class of potentials homogeneously fill the interior of a polynomial curve uniquely defined by the area of its interior domain and its exterior harmonic moments which are all given as parameters of the potential. Then we consider the ortho...
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In this talk the gauge symmetry for Wilsonian flows in pure Yang-Mills theories is discussed. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under gauge transformations for both the gauge field and the auxiliary background field are separately evaluated. Modified Ward-Takahashi and background field identi...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2015
ISSN: 0091-1798
DOI: 10.1214/13-aop885