Kronecker delta energy terms in thermal field theory
F. T. Brandt, Ashok Das, J. Frenkel, J. C. Taylor

TL;DR
This paper explores the relationship between Ward identities, amplitude non-analyticity, and causality in finite-temperature QED using the imaginary time formalism.
Contribution
It provides new insights into how thermal effects influence fundamental symmetries and causality in quantum electrodynamics.
Findings
Identifies the role of non-analyticity in thermal amplitudes.
Clarifies the connection between Ward identities and causality at finite temperature.
Highlights implications for thermal field theory consistency.
Abstract
We discuss, using the imaginary time method, some aspects of the connection between the Ward identity, the non-analyticity of amplitudes and the causality relation in QED at finite temperature.
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