Local momentum space and the vector field

Abstract

The local momentum space expansion for the real vector field is considered. Using Riemann normal coordinates we obtain an expansion of the Feynman Green function up and including terms that are quadratic in the curvature. The results are valid for a non-minimal operator such as that arising from a general Feynman type gauge fixing condition. The result is used to derive the first three terms in the asymptotic expansion for the coincidence limit of the heat kernel without taking the trace, thus obtaining the untraced heat kernel coefficients. The spacetime dimension is kept general before specializing to four dimensions for comparison with previously known results. As a further application we re-examine the anomalous trace of the stress-energy-momentum tensor for the Maxwell field and comment on the gauge dependence.

References in corpus (6)

• Twenty Years of the Weyl Anomaly
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• Introducing Cadabra: a symbolic computer algebra system for field theory problems
• Quantum gravitational contributions to quantum electrodynamics
• Invariants of the heat equation for non-minimal operators
• Complete Computation of DeWitt-Seeley-Gilkey Coefficient E_4 for Nonminimal Operator on Curved Manifolds

Cited by in corpus (10)

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• Geometrized quantum Galileons
• Quantum Spacetime Instability and Breakdown of Semiclassical Gravity
• Instability of De Sitter Spacetime induced by Quantum Conformal Anomaly
• Gauged Yukawa model in curved spacetime
• Heat trace for Laplacian type operators with non-scalar symbols
• Reduced quantum electrodynamics in curved space
• Yang-Mills Yukawa model in curved spacetime