Cooling stochastic quantization with colored noise

Smoothing of field configurations is highly important for precision calculations of physical quantities on the lattice. We present a cooling method based on stochastic quantization with a built-in UV momentum cutoff. The latter is implemented via a UV-regularized, hence colored, noise term. Our meth...

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Bibliographic Details
Main Authors: Pawlowski, Jan M. (Author) , Stamatescu, Ion-Olimpiu (Author) , Ziegler, Felix P. G. (Author)
Format: Article (Journal)
Language:English
Published: 8 December 2017
In: Physical review
Year: 2017, Volume: 96, Issue: 11
ISSN:2470-0029
DOI:10.1103/PhysRevD.96.114505
Online Access:Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevD.96.114505
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.96.114505
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Author Notes:Jan M. Pawlowski, Ion-Olimpiu Stamatescu, and Felix P.G. Ziegler
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Summary:Smoothing of field configurations is highly important for precision calculations of physical quantities on the lattice. We present a cooling method based on stochastic quantization with a built-in UV momentum cutoff. The latter is implemented via a UV-regularized, hence colored, noise term. Our method is tested in a two-dimensional scalar field theory. We show that UV modes can be removed systematically without altering the physics content of the theory. The approach has an interpretation in terms of the nonperturbative (Wilsonian) renormalization group that facilitates the physics interpretation of the cutoff procedure. It also can be used to define the maximal colored cooling applicable without changing the theory.
Item Description:Gesehen am 03.12.2020
Physical Description:Online Resource
ISSN:2470-0029
DOI:10.1103/PhysRevD.96.114505