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Trivializing Maps, the Wilson Flow and the HMC Algorithm

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Abstract

In lattice gauge theory, there exist field transformations that map the theory to the trivial one, where the basic field variables are completely decoupled from one another. Such maps can be constructed systematically by integrating certain flow equations in field space. The construction is worked out in some detail and it is proposed to combine the Wilson flow (which generates approximately trivializing maps for the Wilson gauge action) with the HMC simulation algorithm in order to improve the efficiency of lattice QCD simulations.

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Authors and Affiliations

  1. CERN, Physics Department, 1211, Geneva 23, Switzerland

    Martin Lüscher

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  1. Martin Lüscher
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Correspondence to Martin Lüscher.

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Communicated by M. Salmhofer

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Lüscher, M. Trivializing Maps, the Wilson Flow and the HMC Algorithm. Commun. Math. Phys. 293, 899–919 (2010). https://doi.org/10.1007/s00220-009-0953-7

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  • DOI: https://doi.org/10.1007/s00220-009-0953-7

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