Worked out problems in Lattice Gauge Theories. Problem 7: Weak coupling expansion in compact QED (Feynman calculus, Ward identities and all that. Handwritten notes by P. Kwanten).pic.twitter.com/WkwrGVVbBF
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To study more on "Lattice Gauge Theories" see (Heinz J. Rothe):pic.twitter.com/2zelo0Wkfg
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Do you think studying QFT on a lattice give you a better conceptual understanding of QFT? I’ve always found it fascinating how confinement pops out of the lattice simulations, but I’ve also heard that some of those applications are ad-hoc
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No, not conceptual, but lattice theory provides a better computational understanding, although there are no signs that space and time are discrete. The lattice spacing (a) and momentum cutt-off (1/a) and the continuum limit a→0 is like replacing points by strings
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Cont'd: In the sense that we can better deal with "infinities" and strong coupling expansions, quark gluon plasma. Using supercomputers and Monte-Carlo simulations, in that point it is merely "ad-hoc". In fact the proton mass was determined by lattice gauge theory:
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