Sunset integrals at finite volume
(2013) FYTM01 20131Theoretical Particle Physics - Has been reorganised
- 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.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/3973113
- author
- Boström, Emil LU
- supervisor
- organization
- course
- FYTM01 20131
- year
- 2013
- 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}}, language = {{eng}}, note = {{Student Paper}}, title = {{Sunset integrals at finite volume}}, year = {{2013}}, }