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Distribution of Canonical Determinants in QCD

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arxiv 1411.4143 v1 pith:YXNZ46N7 submitted 2014-11-15 hep-lat hep-phhep-th

Andrei Alexandru , C. Gattringer , H.-P. Schadler , K. Splittorff , J.J.M. Verbaarschot This is my paper · ORCID
classification hep-lathep-phhep-th
keywords canonicaldeterminantsdistributiondeterminedimaginarymagnitudemomentsparts
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The distribution of canonical determinants in QCD is determined by means of chiral perturbation theory. For a non-zero quark charge the canonical determinants take complex values. In the dilute pion gas approximation, we compute all moments of the magnitude of the canonical determinants, as well as the first nonvanishing moments of the real and imaginary parts. The non-trivial cancellation between the real and the imaginary parts of the canonical determinants is derived and the signal to noise ratio is discussed. The analytical distributions are compared to lattice data. The average density of the magnitude of the canonical determinants is determined as well and is shown to be given by a variant of the log-normal distribution.

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