# Two loop partially quenched and finite volume chiral perturbation theory results

@inproceedings{Bijnens2005TwoLP, title={Two loop partially quenched and finite volume chiral perturbation theory results}, author={Johan Lambert Bijnens and Niclas Danielsson and Karim Ghorbani and Timo A. Lahde}, year={2005} }

This talk presents some results relevant for lattice QCD at higher order in ChPT. First we discuss the finite volume corrections at two loops for the quark condensate as well as a Luscherlike finite volume formula for it. The latter allows for an alternative determination of meson sigma terms. The second set of results presented here are the calculations at two loops in partially quenched chiral perturbation theory of masses and decay constants of the charged mesons. We present results for all… Expand

#### 4 Citations

The pion and proton mass in finite volume

- Physics
- 2006

We calculate the finite volume effects for the pion and nucleon mass. For the pion mass we present the results of a full two-loop calculation in chiral perturbation theory. The outcome shows that the… Expand

The pion mass in finite volume to two loops

- Physics
- 2005

We evaluate the pion mass in finite volume to two loops within Chiral Perturbation Theory. The results are compared with a recently proposed extension of the asymptotic formula of Luscher. We find… Expand

Topics in Effective Field Theory for Lattice QCD

- Physics
- 2006

In this work, we extend and apply effective field theory techniques to systematically understand a subset of lattice artifacts which pollute the lattice correlation functions for a few processes of… Expand

#### References

SHOWING 1-10 OF 24 REFERENCES

Decay constants of pseudoscalar mesons to two loops in three-flavor partially quenched chiral perturbation theory

- Physics
- 2005

This paper presents a first study of the decay constants of the charged, or flavor-off-diagonal, pseudoscalar mesons to two loops for three flavors of sea quarks, in Partially Quenched Chiral… Expand

Masses and decay constants of pseudoscalar mesons to two loops in two-flavor partially quenched chiral perturbation theory

- Physics
- 2005

This paper presents a first study of the masses and decay constants of the charged, or flavor-off-diagonal, pseudoscalar mesons to two loops for two flavors of sea-quarks, in Partially Quenched… Expand

Pseudoscalar meson mass to two loops in three-flavor partially quenched chiral perturbation theory

- Physics
- 2004

This paper presents a first study of the pseudoscalar meson masses to two loops, or next-to-next-to-leading order, within the supersymmetric formulation of partially quenched chiral perturbation… Expand

Chiral logarithms in quenched QCD

- Physics
- 1987

2014 From a strong coupling investigation of quenched QCD, and an analysis of a previous numerical simulation of quenched SU(2), we show that the infrared logarithms expected in the chiral limit of… Expand

Partially quenched gauge theories and an application to staggered fermions.

- Physics, Medicine
- Physical review. D, Particles and fields
- 1994

The Lagrangian technique for chiral perturbation theory for quenched QCD is extended to include theories in which only some of the quarks are quenches, and the peculiar infrared divergences associated with the ${\ensuremath{\eta}}^{'}}$ in the quencher approximation are investigated. Expand

QCD isospin breaking in meson masses, decay constants and quark mass ratios

- Physics
- 2001

Abstract The procedure to calculate masses and matrix-elements in the presence of mixing of the basis states is explained in detail. We then apply this procedure to the two-loop calculation in Chiral… Expand

Physical Results from Unphysical Simulations

- Physics
- 2000

We calculate various properties of pseudoscalar mesons in partially quenched QCD using chiral perturbation theory through next-to-leading order. Our results can be used to extrapolate to QCD from… Expand

Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark

- Physics
- 1985

Abstract In a previous paper, we have shown how to systematically determine the low-energy structure of the Green functions in QCD. The present article extends this framework to expansions in the… Expand

Partially quenched chiral perturbation theory without Phi0

- Physics
- 2001

This paper completes the argument that lattice simulations of partially quenched QCD can provide quantitative information about QCD itself, with the aid of partially quenched chiral perturbation… Expand

Finite volume effects in chiral perturbation theory

- Physics
- 2005

There has recently been an intense activity in the study of finite volume effects by means of chiral perturbation theory. In this contribution I review recent work in this field both for the e– ( M π… Expand