Three-loop renormalization of Yang-Mills theory in background field gauge

Quantization and renormalization of non-Abelian gauge fields is studied. Yang-Mills theory is renormalized up to two-loops using the background field method retaining arbitrary value of the gauge parameter. The result confirms the expectations for calculations performed in background field gauge. Namely, the counter-term depending on the background field only is a renormalization constant times the square of the field strength of the background field, and the constant upon renormalization of the gauge parameter is independent of the gauge parameter. Finally, the three-loop contribution to the renormalization group β function of pure Yang-Mills theory is calculated in the background field gauge.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Physics

Department dc:contributor.department

Physics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1990

Author dc:creator

• Trocsanyi, Zoltan L.

Chair dc:contributor.committeechair

• Chang, Lay Nam

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-09202005-090956

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/39413