Non-perturbative Renormalization in Lattice Field Theory

Physics – High Energy Physics – High Energy Physics - Lattice

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Lattice 2000 (Plenary), 16 pages Latex using espcrc2.sty, 12 postscript figures included, to appear in the conference proceedi

Scientific paper

10.1016/S0920-5632(01)00941-0

I review the strategies which have been developped in recent years to solve the non-perturbative renormalization problem in lattice field theories. Although the techniques are general, the focus will be on applications to lattice QCD. I discuss the momentum subtraction and finite volume schemes, and their application to scale dependent renormalizations. The problem of finite renormalizations is illustrated with the example of explicit chiral symmetry breaking, and I give a short status report concerning Symanzik's improvement programme to O($a$).

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