References

Introductory and pedagogical references

For an overview of the organisation of these resource listings, please start here.

Textbooks featuring lattice perturbation theory

[Other lattice QCD textbooks]

T. DeGrand and C. DeTar, Lattice methods for quantum chromodynamics, (2006) World Scientific. Chapter 12.
I. Montvay and G. Münster, Quantum fields on a lattice, (1997) CUP. Sections 3.3 and 5.1.
M. Creutz, Quarks, gluons and lattices, (1985) CUP. Chapter 11 (briefly discusses weak coupling).

H.J. Rothe, Lattice gauge theories: an introduction, (2012) World Scientific.
L. Lellouch, R. Sommer, B. Svetitsky, A. Vladikas and L.F. Cugliandolo (eds.), Modern perspectives in lattice QCD: quantum field theory and high performance computing, (2011) OUP.
C. Gattringer and C.B. Lang, Quantum chromodynamics on the lattice: an introductory presentation, (2010) Springer.
J. Smit, Introduction to quantum fields on a lattice, (2002) CUP.

Reviews and overviews

By far and away the most complete and in-depth introduction to lattice perturbation theory is

S. Capitani, Lattice perturbation theory, Phys. Rept. 382 (2003) 113 [arXiv:hep-lat/0211036].

Further review articles can be found in:

C.J. Monahan, Automated lattice perturbation theory, (2013) [arXiv:1310.4536]
C.J. Monahan, The beauty of lattice perturbation theory: the role of lattice perturbation theory in B physics, Mod. Phys. Lett. A 27 (2012) 1230040 [arXiv:1210.7266]
G.P. Lepage, Redesigning lattice QCD, (1996) [arXiv:hep-lat/9607076]
C. Morningstar, Lattice perturbation theory, (1995) [arXiv:hep-lat/9509073]

Automated lattice perturbation theory routines

Code list here

Results and resources

Resources by action

Other resources

Slides and presentations

C. Monahan, (2013)
Automated lattice perturbation theory
D. Adams, (2013)
Relationship between bare lattice coupling and renormalized continuum coupling in QCD
C. Lehner, (2013)
A new framework for perturbative calculations for a wide class of regulators
C.J. Monahan, (2013)
Extracting the b quark mass from lattice NRQCD
C.J. Monahan, (2012)
Extracting B physics from lattice simulations via lattice perturbation theory
D. Hesse, (2012)
Automated lattice perturbation theory applied to HQET
D. Hesse, (2012)
Automated lattice perturbation theory in the Schrödinger functional and HQET flavor currents
R.N. Rogalyov, (2010)
Two-loop fermionic integrals in perturbation theory on a lattice
D. Hesse, (2010)
Automated lattice perturbation theory in the Schrödinger functional

Theses

This list is extremely incomplete. I include here only those theses that I have found publically available online.

D. Hesse, Humboldt-Universität zu Berlin, (2012)
Automated lattice perturbation theory in the Schrödinger functional
C.J. Monahan, University of Cambridge, (2011)
The application of automated perturbation theory to lattice QCD
A. Lytle, University of Washington, (2010)
Non-perturbative renormalization with staggered fermions
E.H. Müller, University of Edinburgh, (2009)
Heavy-to-light decays on the lattice
B. Bistrović, Massachusetts Institute of Technology, (2005)
Perturbative renormalization of proton observables in lattice QCD using domain wall fermions
M.A. Nobes, Simon Fraser University, (2004)
Automated lattice perturbation theory for improved quark and gluon actions
Q.J. Mason, Cornell University, (2004)
High precision QCD: perturbations in a non-perturbative world
W.C. Dimm, Cornell University, (1995)
Non-perturbative methods: HQET and lattice gauge theory