On a renormalizable class of gauge fixings for the gauge invariant operator A{sub min}{sup 2}

Journal Article · Thu Mar 15 04:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.01.009· OSTI ID:22852228

Capri, M. A.L.,; Egmond, D.M. van,

The dimension two gauge invariant non-local operator A{sub min}{sup 2}, obtained through the minimization of ∫d{sup 4}xA{sup 2} along the gauge orbit, allows to introduce a non-local gauge invariant configuration A{sub μ}{sup h} which can be employed to built up a class of Euclidean massive Yang–Mills models useful to investigate non-perturbative infrared effects of confining theories. A fully local setup for both A{sub min}{sup 2} and A{sub μ}{sup h} can be achieved, resulting in a local and BRST invariant action which shares similarities with the Stueckelberg formalism. Though, unlike the case of the Stueckelberg action, the use of A{sub min}{sup 2} gives rise to an all orders renormalizable action, a feature which will be illustrated by means of a class of covariant gauge fixings which, as much as ’t Hooft’s R{sub ζ}-gauge of spontaneously broken gauge theories, provide a mass for the Stueckelberg field.

• OSTI ID: 22852228
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 390; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EUCLIDEAN SPACE
GAUGE INVARIANCE
MATHEMATICAL OPERATORS
ORBITS
RENORMALIZATION
SYMMETRY
YANG-MILLS THEORY