TY - JOUR
T1 - Renormalization structure of non-abelian chiral bosons coupled to a gauge field
AU - Oz, Yaron
N1 - Funding Information:
~' Work supported in part by the Osterreichische Nationalbank Jubil~iumsfundsprojekt No. 3485. i Bitnet address: Phr82yo@Technion. ,1 A±=Ao+At , e-+=_C-=½, rl-+=~+-=½, ~7--=~++=0. ~2 _Fwz( U) = S d3y eOk Tr U -1 a~UU -1 ajUU -~ OkU, where the integration is performed over a three-dimensional manifold whose boundary is the compactified space-time.
PY - 1990/8/16
Y1 - 1990/8/16
N2 - We write the non-covariant action, describing non-abelian chiral bosons coupled to a gauge field, in a "curved" space-time covariant form, and study its renormalization structure. Exploiting the observation that the theory may be considered as a gauge fixed version of a gauge invariant theory, and working in a covariant gauge, we show that the theory is one-loop renormalizable and compute the one-loop β-function. Due to a property of the "curved" metric, the renormalization structure of the theory is similar to that of Dirac fermions chirally coupled to a non-abelian gauge field.
AB - We write the non-covariant action, describing non-abelian chiral bosons coupled to a gauge field, in a "curved" space-time covariant form, and study its renormalization structure. Exploiting the observation that the theory may be considered as a gauge fixed version of a gauge invariant theory, and working in a covariant gauge, we show that the theory is one-loop renormalizable and compute the one-loop β-function. Due to a property of the "curved" metric, the renormalization structure of the theory is similar to that of Dirac fermions chirally coupled to a non-abelian gauge field.
UR - http://www.scopus.com/inward/record.url?scp=0347182379&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(90)90681-U
DO - 10.1016/0370-2693(90)90681-U
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AN - SCOPUS:0347182379
SN - 0370-2693
VL - 245
SP - 503
EP - 508
JO - Physics Letters B
JF - Physics Letters B
IS - 3-4
ER -