## 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].

- 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

- Gauge actions
- Wilson quarks
- Staggered quarks
- Ginsparg-Wilson chiral actions
- Relativistic heavy quarks
- NRQCD
- HQET

### Other resources

- Theoretical and conceptual issues
- Applications beyond QCD at zero temperature
- Stochastic perturbation theory
- Weak coupling "perturbation theory"

## 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. BistroviÄ‡, 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