Lattice Perturbation Theory
نویسنده
چکیده
Perturbation theory (PT) appears in many important theoretical and practical roles in lattice field theory. Conceptual issues related to the continuum limit can be studied in a perturbative framework, such as the renormalizability of lattice gauge theories [1]. Perturbative calculations are used in relating lattice quantities to those defined in continuum schemes and in constructing Symanzik-improved lattice actions and operators. A recent determination of the strong coupling constant [2] and a new construction of lattice chiral fermions [3] relied on perturbative expansions. PT often helps us to better understand our numerical computations and provides useful checks. Lattice perturbation theory is a very broad topic. Here, I focus on weak-coupling PT in zerotemperature lattice QCD. First, two important sources of uncertainties in lattice PT calculations are briefly discussed. Next, tadpole improvement and its role in lattice PT are described. I then survey six selected lattice PT papers or series of papers from the recent past. Developments concerning renormalons are omitted, as these will be presented in the talk by Sachrajda [4].
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