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Sunset integrals at finite volume

Boström, Emil LU (2013) FYTM01 20131
Theoretical Particle Physics
Abstract
In this thesis we present a method for the calculation of finite volume corrections to the sunset diagram, for arbitrary masses and powers of the propagators. We also present numerical results showing the dependence of these corrections on the volume, which is an exponential decay for large volumes. The results are of high relevance since they can be used in Chiral Perturbation Theory to asses the precision of computations done within the framework of lattice Quantum Chromodynamics, for properties like particle masses and form factors, as well as to correct for the effects of a finite volume.
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author
Boström, Emil LU
supervisor
organization
course
FYTM01 20131
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Sunset integrals, loop integrals, Chiral Perturbation Theory, Lattice QCD, finite volume
language
English
id
3973113
alternative location
http://particle.thep.lu.se/pub/Preprints/13/lu_tp_13_22.pdf
date added to LUP
2013-08-22 12:45:38
date last changed
2013-08-22 12:45:38
@misc{3973113,
  abstract     = {In this thesis we present a method for the calculation of finite volume corrections to the sunset diagram, for arbitrary masses and powers of the propagators. We also present numerical results showing the dependence of these corrections on the volume, which is an exponential decay for large volumes. The results are of high relevance since they can be used in Chiral Perturbation Theory to asses the precision of computations done within the framework of lattice Quantum Chromodynamics, for properties like particle masses and form factors, as well as to correct for the effects of a finite volume.},
  author       = {Boström, Emil},
  keyword      = {Sunset integrals,loop integrals,Chiral Perturbation Theory,Lattice QCD,finite volume},
  language     = {eng},
  note         = {Student Paper},
  title        = {Sunset integrals at finite volume},
  year         = {2013},
}