Quasiclassical expansion of Yang-Mills heat kernels and approximate calculation of functional determinants

D. I. Dyakonov, V. Yu Petrov, A. V. Yung

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

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 languageEnglish (US)
Pages (from-to)385-388
Number of pages4
JournalPhysics Letters B
Volume130
Issue number6
DOIs
StatePublished - Nov 3 1983

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