TY - JOUR
T1 - Non-Abelian Chern-Simons coefficient in the Higgs phase
AU - Kao, Hsien chung
PY - 1998
Y1 - 1998
N2 - We calculate the one loop corrections to the Chern-Simons coefficient (Formula presented) in the Higgs phase of Yang-Mills Chern-Simons Higgs theories. When the gauge group is (Formula presented), we show, by taking into account the effect of the would-be Chern-Simons term, that the corrections are always integer multiples of (Formula presented), as they should be for the theories to be quantum-mechanically consistent. In particular, the correction is vanishing for SU(2). The same method can also be applied to the case where the gauge group is (Formula presented). The result for SO(2) agrees with that found in the Abelian Chern-Simons theories. Therefore, the calculation provides us with a unified understanding of the quantum correction to the Chern-Simons coefficient.
AB - We calculate the one loop corrections to the Chern-Simons coefficient (Formula presented) in the Higgs phase of Yang-Mills Chern-Simons Higgs theories. When the gauge group is (Formula presented), we show, by taking into account the effect of the would-be Chern-Simons term, that the corrections are always integer multiples of (Formula presented), as they should be for the theories to be quantum-mechanically consistent. In particular, the correction is vanishing for SU(2). The same method can also be applied to the case where the gauge group is (Formula presented). The result for SO(2) agrees with that found in the Abelian Chern-Simons theories. Therefore, the calculation provides us with a unified understanding of the quantum correction to the Chern-Simons coefficient.
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U2 - 10.1103/PhysRevD.57.7416
DO - 10.1103/PhysRevD.57.7416
M3 - Article
AN - SCOPUS:0000691317
VL - 57
SP - 7416
EP - 7421
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 12
ER -