English

Covariant techniques in Quantum Field Theory

High Energy Physics - Theory 2022-04-21 v3

Abstract

In this paper some techniques useful to perform quantum field theory computations in a covariant manner are reviewed. In particular the background field gauge, the zeta function regularization and the heat kernel approach are highlighted. Some detailed calculations of the Schwinger-de Witt coefficients of the small proper time expansion of the heat kernel are also repeated in detail. This work reports lectures given by Enrique \'Alvarez at the IFT-UAM-CSIC in Madrid.

Keywords

Cite

@article{arxiv.2203.11292,
  title  = {Covariant techniques in Quantum Field Theory},
  author = {Enrique Alvarez and Jesus Anero},
  journal= {arXiv preprint arXiv:2203.11292},
  year   = {2022}
}

Comments

96 pages, LaTeX, lecture notes given by Enrique \'Alvarez at the IFT-UAM-CSIC in Madrid. New section added. References added. Typos corrected

R2 v1 2026-06-24T10:21:07.389Z