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Improved Lattice Gauge Field Hamiltonian

Authors
  • Luo, Xiang-Qian
  • Guo, Shuo-Hong
  • Kr{ö}ger, H.
  • Sch{ü}tte, Dieter
Type
Published Article
Publication Date
Apr 22, 1998
Submission Date
Apr 22, 1998
Identifiers
DOI: 10.1103/PhysRevD.59.034503
arXiv ID: hep-lat/9804029
Source
arXiv
License
Unknown
External links

Abstract

Lepage's improvement scheme is a recent major progress in lattice $QCD$, allowing to obtain continuum physics on very coarse lattices. Here we discuss improvement in the Hamiltonian formulation, and we derive an improved Hamiltonian from a lattice Lagrangian free of $O(a^2)$ errors. We do this by the transfer matrix method, but we also show that the alternative via Legendre transformation gives identical results. We consider classical improvement, tadpole improvement and also the structure of L{\"u}scher-Weisz improvement. The resulting color-electric energy is an infinite series, which is expected to be rapidly convergent. For the purpose of practical calculations, we construct a simpler improved Hamiltonian, which includes only nearest-neighbor interactions.

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