Article Dans Une Revue Physical Review D Année : 2026

Heat Kernels and Resummations: the Spinor Case

Résumé

Among the available perturbative approaches in quantum field theory, heat kernel techniques provide a powerful and geometrically transparent framework for computing effective actions in nontrivial backgrounds. In this work, resummation patterns within the heat kernel expansion are examined as a means of systematically extracting nonperturbative information. Building upon previous results for Yukawa interactions and scalar quantum electrodynamics, we extend the analysis to spinor fields, demonstrating that a recently conjectured resummation structure continues to hold. The resulting formulation yields a compact expression that resums invariants constructed from the electromagnetic tensor and its spinorial couplings, while preserving agreement with known proper-time coefficients. Beyond its immediate computational utility, the framework offers a unified perspective on the emergence of nonperturbative effects (such as Schwinger pair creation) in relation to perturbative heat kernel data, and provides a basis for future extensions to curved spacetimes and non-Abelian gauge theories.

Dates et versions

hal-05374362 , version 1 (20-11-2025)

Identifiants

Citer

S.A Franchino-Viñas, C García-Pérez, F.D Mazzitelli, S Pla, V Vitagliano. Heat Kernels and Resummations: the Spinor Case. Physical Review D, 2026, 113 (2), pp.025001. ⟨10.1103/yjqc-mzwb⟩. ⟨hal-05374362⟩
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