A conjecture on the spinor functional determinant
Abstract
We conjecture that the normalized Euclidean spinor functional determinant in an arbitrary external Yang-Mills potential be bounded above by 1. The opposite inequality has been shown to be true for the scalar determinant reflecting a diamagnetic effect of the Yang-Mills potential in that case. For the spinor situation this conjecture therefore requires that the influence of the spin be sufficiently strong to induce a net paramagnetic effect. We present arguments in favour of our conjecture including calculations to order h2 and to order e2 as well as the case of constant (Euclidean) electromagnetic field.
- Publication:
-
Nuclear Physics B
- Pub Date:
- October 1978
- DOI:
- 10.1016/0550-3213(78)90228-6
- Bibcode:
- 1978NuPhB.142..525H