Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Extended Lorentz invariance and field theory
AU - Benn, Ian
AU - Tucker, Robin
PY - 1981
Y1 - 1981
N2 - The role of the extended Lorentz group as an invariance of physical theories is re-examined. Contrary to common acceptance it is asserted that all known theories, including those that describe the weak interactions exhibit invariance under the extended Lorentz group of frame transformations. The fundamental discrete transformations are defined, independent of any particular field system, as endomorphisms on the space of spin frames over space-time. The appropriate transformations for spinor fields are considered in detail, and the notions of covariance under frame reversal is contrasted with other notions of 'parity invariance'.
AB - The role of the extended Lorentz group as an invariance of physical theories is re-examined. Contrary to common acceptance it is asserted that all known theories, including those that describe the weak interactions exhibit invariance under the extended Lorentz group of frame transformations. The fundamental discrete transformations are defined, independent of any particular field system, as endomorphisms on the space of spin frames over space-time. The appropriate transformations for spinor fields are considered in detail, and the notions of covariance under frame reversal is contrasted with other notions of 'parity invariance'.
U2 - 10.1088/0305-4470/14/7/029
DO - 10.1088/0305-4470/14/7/029
M3 - Journal article
VL - 14
SP - 1745
EP - 1759
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 7
ER -