TY - JOUR
T1 - Symmetry breaking, conformal geometry and gauge invariance
AU - Ilderton, Anton
AU - Lavelle, Martin
AU - McMullan, David
PY - 2010/8/6
Y1 - 2010/8/6
N2 - When the electroweak action is rewritten in terms of SU(2) gauge-invariant variables, the Higgs can be interpreted as a conformal metric factor. We show that asymptotic flatness of the metric is required to avoid a Gribov problem: without it, the new variables fail to be nonperturbatively gauge invariant. We also clarify the relations between this approach and unitary gauge fixing, and the existence of similar transformations in other gauge theories.
AB - When the electroweak action is rewritten in terms of SU(2) gauge-invariant variables, the Higgs can be interpreted as a conformal metric factor. We show that asymptotic flatness of the metric is required to avoid a Gribov problem: without it, the new variables fail to be nonperturbatively gauge invariant. We also clarify the relations between this approach and unitary gauge fixing, and the existence of similar transformations in other gauge theories.
UR - https://pearl.plymouth.ac.uk/context/secam-research/article/1012/viewcontent/1002.1170v2.pdf
U2 - 10.1088/1751-8113/43/31/312002
DO - 10.1088/1751-8113/43/31/312002
M3 - Article
SN - 1751-8113
VL - 43
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 31
ER -