Gauge-invariant functional measure for gauge fields on CP2

TY - JOUR

T1 - Gauge-invariant functional measure for gauge fields on CP2

AU - Nair, V.P.

PY - 2013/11/26

Y1 - 2013/11/26

N2 - We introduce a general parametrization for non-Abelian gauge fields on the four-dimensional space CP2. The volume element for the gauge-orbit space or the space of physical configurations is then investigated. The leading divergence in this volume element is obtained in terms of a higher dimensional Wess-Zumino-Witten action, which has previously been studied in the context of Kähler-Chern-Simons theories. This term, it is argued, implies that one needs to introduce a dimensional parameter to specify the integration measure, a step which is a nonperturbative version of the well-known dimensional transmutation in four-dimensional gauge theories.

AB - We introduce a general parametrization for non-Abelian gauge fields on the four-dimensional space CP2. The volume element for the gauge-orbit space or the space of physical configurations is then investigated. The leading divergence in this volume element is obtained in terms of a higher dimensional Wess-Zumino-Witten action, which has previously been studied in the context of Kähler-Chern-Simons theories. This term, it is argued, implies that one needs to introduce a dimensional parameter to specify the integration measure, a step which is a nonperturbative version of the well-known dimensional transmutation in four-dimensional gauge theories.

U2 - 10.1103/PhysRevD.88.105027

DO - 10.1103/PhysRevD.88.105027

M3 - Journal article

SN - 2470-0010

VL - 88

JO - Physical Review D

JF - Physical Review D

IS - 10

M1 - 105227

ER -