English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/9155
Share/Impact:
Statistics
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:

Title

Spontaneous chiral symmetry breaking in QCD: a finite-size scaling study on the lattice

AuthorsGiusti, Leonardo; Necco, Silvia
KeywordsGinsparg-Wilson fermions
Dirac operator
Perturbation theory
Gauge theories
Precision computation
ε-regime
Lattice Quantum Field Theory
Lattice Gauge Field Theories
Lattice QCD
Chiral Lagrangians
Issue Date30-Apr-2007
PublisherInternational School for Advanced Studies
Institute of Physics Publishing
CitationJournal of High Energy Physics 4: 090 (2007)
JHEP04(2007)090
AbstractSpontaneous chiral symmetry breaking in QCD with massless quarks at infinite volume can be seen in a finite box by studying, for instance, the dependence of the chiral condensate from the volume and the quark mass. We perform a feasibility study of this program by computing the quark condensate on the lattice in the quenched approximation of QCD at small quark masses. We carry out simulations in various topological sectors of the theory at several volumes, quark masses and lattice spacings by employing fermions with an exact chiral symmetry, and we focus on observables which are infrared stable and free from mass-dependent ultraviolet divergences. The numerical calculation is carried out with an exact variance-reduction technique, which is designed to be particularly efficient when spontaneous symmetry breaking is at work in generating a few very small low-lying eigenvalues of the Dirac operator. The finite-size scaling behaviour of the condensate in the topological sectors considered agrees, within our statistical accuracy, with the expectations of the chiral effective theory. Close to the chiral limit we observe a detailed agreement with the first Leutwyler-Smilga sum rule. By comparing the mass, the volume and the topology dependence of our results with the predictions of the chiral effective theory, we extract the corresponding low-energy constant.
Description25 pages, 8 figures.-- ISI Article Identifier: 000246396400090.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-lat/0702013
Publisher version (URL)http://dx.doi.org/10.1088/1126-6708/2007/04/090
URIhttp://hdl.handle.net/10261/9155
DOI10.1088/1126-6708/2007/04/090
ISSN1126-6708
Appears in Collections:(IFIC) Artículos
Files in This Item:
File Description SizeFormat 
jhep042007090.pdf444,96 kBAdobe PDFThumbnail
View/Open
Show full item record
Review this work
 

Related articles:


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.