Functional determinants in Euclidean Yang-Mills theory

DOI10.1007/BF01269922zbMath0452.58022OpenAlexW1966231886MaRDI QIDQ1148595

Clifford Henry Taubes, Constantine J. Callias

Publication date: 1980

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01269922

zbMATH Keywords

heat kernels and zeta functionsratios of determinants appearing in the path-integral formulation of Euclidean Yang-Mills theoryRay-Singer torsion as a method of renormalizationspin 1/2 fields interacting with instantos

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Miscellaneous applications of functional analysis (46N99)

Related Items (11)

Zeta Functions of Elliptic Cone Operators ⋮ \(L^ 2\)-index theorems on locally symmetric spaces ⋮ The four-dimensional Yang-Mills partition function in the vicinity of the vacuum ⋮ The resolvent and the heat kernel for some singular boundary problems ⋮ Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone ⋮ The Functional Determinant of a Four-Dimensional Boundary Value Problem ⋮ The Resolvent Parametrix of the General Elliptic Linear Differential Operator: A Closed Form for the Intrinsic Symbol ⋮ Summable chains of instantons. II. Explicit integration of quantum fluctuation determinants ⋮ The heat equation with singular coefficients. I: Operators of the form \(- d^ 2/dx^ 2+k/x^ 2\) in dimension 1 ⋮ Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients ⋮ A new example of the effects of a singular background on the zeta function ^*

Cites Work

• Axial anomalies and index theorems on open spaces
• On quantum fluctuations of instantons
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