Application of double-dimensional regularization in a nonabelian gauge theory

Journal Article · Tue Apr 01 00:00:00 EST 1986 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:5081382

Karnaukhov, S N

Calculations of the polarization operator and vertex function in a nonabelian gauge theory are performed in second order of perturbation theory on the basis of the method of I. V. Tyutin (JETP Lett. 35, 428 (1982)). In this calculation the formal contribution of the ghosts disappears, but the expressions for the polarization operator and vertex function are modified in such a way that this leads to automatic allowance for the contribution of the ghosts. For the gauge-invariant ..beta..-function the answer coincides with the known expression, but for the polarization operator and vertex function the dependence on the gauge parameter differs from that in standard calculations. It is shown that the calculations can be performed in the framework of dimensional regularization with a special choice of gauge condition.

• Research Organization: North-Caucasus High-School Scientific Centre
• OSTI ID: 5081382
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Vol. 43:4
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
GAUGE INVARIANCE
PERTURBATION THEORY
POLARIZATION
VERTEX FUNCTIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
645400* - High Energy Physics- Field Theory