Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin

Fuente: arXiv
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Main Authors: Carneiro, Igor, von Gersdorff, Gero
Format: Preprint
Published: 2025
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author Carneiro, Igor
von Gersdorff, Gero
author_facet Carneiro, Igor
von Gersdorff, Gero
contents In a previous paper we have presented a general formalism for computing Feynman diagrams for scalar fields in curved spacetime at any loop order using heat kernel methods. The main technique used is the expansion of the fully off-diagonal heat kernel in Riemann normal coordinates. In this work we extend this to include fields of nonzero spin, in particular spin-$\frac{1}{2}$ fermions.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00177
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin
Carneiro, Igor
von Gersdorff, Gero
High Energy Physics - Theory
High Energy Physics - Phenomenology
In a previous paper we have presented a general formalism for computing Feynman diagrams for scalar fields in curved spacetime at any loop order using heat kernel methods. The main technique used is the expansion of the fully off-diagonal heat kernel in Riemann normal coordinates. In this work we extend this to include fields of nonzero spin, in particular spin-$\frac{1}{2}$ fermions.
title Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2507.00177