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Improved Hamiltonian for Minkowski Yang-Mills Theory | Guy D. Moore
; | Date: |
1 May 1996 | Journal: | Nucl.Phys. B480 (1996) 689-728 | Subject: | hep-lat hep-ph | Abstract: | I develop an improved Hamiltonian for classical, Minkowski Yang-Mills theory, which evolves infrared fields with corrections from lattice spacing $a$ beginning at $O(a^4)$. I use it to investigate the response of Chern-Simons number to a chemical potential, and to compute the maximal Lyapunov exponent. Both quantities have small $a$ limits, in both cases within $10$ of the limit found using the unimproved (Kogut Susskind) Hamiltonian. For the maximal Lyapunov exponent the limits differ by about $5 $, significant at about $5 sigma$, indicating that while a small $a$ limit exists, its value is corrupted by lattice artefacts. For the response of Chern-Simons number the statistics are not good enough to resolve $ 5 $ differences, but it seems possible in analogy with the Lyapunov exponent that the final answer depends on the lattice regulation. | Source: | arXiv, hep-lat/9605001 | Services: | Forum | Review | PDF | Favorites |
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