Abstract
We find next-to-leading coefficients in the expansion of Sp exp(-tK) in powers of proper time t, where K is the differential operator for the gluon, ghost or fermion in a background Yang-Mills field. This expansion provides a possibility of estimating functional determinants in arbitrary background fields. For example, for the instanton background our very simple method gives the value of the determinants with an accuracy of a few percent, as compared to the labourious exact calculation.
Original language | English (US) |
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Pages (from-to) | 385-388 |
Number of pages | 4 |
Journal | Physics Letters B |
Volume | 130 |
Issue number | 6 |
DOIs | |
State | Published - Nov 3 1983 |
Externally published | Yes |