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Lattice Field Theory

  1. Sep 11, 2003 #1

    gnl

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    Hi everyone! I would like to post a new thread, related to my research work: QFT on a lattice, i.e. on computers! Is anyone interested?
     
  2. jcsd
  3. Sep 11, 2003 #2

    jcsd

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    Sure, I only know the basic theory behind quantum computing rather than the practicalities, how is the problem of decoherence being overcome?
     
  4. Sep 11, 2003 #3

    gnl

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    lattice

    This is what I am talking about. Take some QFT. Write a Euclidean space-time discrete version of the action and then use numerical methods to evaluate Green´s functions. The inverse lattice spacing serves as a momentum cutoff...
     
  5. Sep 11, 2003 #4

    jcsd

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    Sorry I misread your post, i thought you were taliking about QFT computing
     
  6. Sep 11, 2003 #5

    selfAdjoint

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    This is certainly a very interesting and hot topic, and the opportunity to get some info from the horse's mouth is not to be missed. Fire away, gnl!
     
  7. Sep 11, 2003 #6

    gnl

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    Lattice QCD

    One of the most interesting field theories to be studied on the lattice is QCD. QCD is a very complicated theory, with many non-perturbative aspects. The lattice offers a way to investigate, from first principles, such aspects. In the low-energy regime, the QCD coupling becomes too large for any perturbative expansion to make sense. Confinement and hadron structure are among the things one can study in Lattice QCD: hadron masses (QCD spectroscopy in general, including glueballs), hadronic matrix elements.

    A good intro can be found in:
    hep-lat/9807028

    Agreement with experiment has been striking in many cases.
     
  8. Sep 12, 2003 #7

    selfAdjoint

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    I am working my way through the tutorial, and I wondered, gnl what is your topic? And are you going to be doing monte carlo estimations of path integrals like it says?
     
  9. Sep 12, 2003 #8

    gnl

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    my field

    My field of research, so far, has been lattice QCD. I have done works on hadron spectroscopy and on the study of leptonic anc semileptonic decays. These decays involve some non-perturbative quantity, like decay constants or form factors.

    These objects are calculated as MC estimates (numerical path integral!) of time-ordered products of fields. For example, given the operator that creates a meson with given quantum numbers from the vacuum, one that creates another meson , and a current, lots of things can be calculated.

    Lattice QCD needs BIG CPUS!!! However, lots of interesting physics can still be explored with scalar models. The Higgs boson, after all, is such a field!
     
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