2012/10/31 by Jochen Zahn, JOCHEN ZAHN · 1 citation
Mathematics · Physics and Astronomy · #Background field method #Black Holes and Theoretical Physics #Covariant transformation #Dirac (video compression format) #Gauge (firearms) #Gauge covariant derivative #Gauge theory #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Renormalization #Renormalization group #Scaling #Tensor (intrinsic definition) #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/s0129055x13300124
published as Rev. Math. Phys. 26 (2014) 1330012 · 40 pages. v2: Corrections is Sections 4.1 and 4.2. v3: Section 3.1 reworked, final version
arxiv created 2013/10/18 · openalex publication_date 2013/11/05 · arxiv updated 2014/01/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The definition of the locally covariant Dirac field is adapted such that it may be charged under a gauge group and in the presence of generic gauge and Yukawa background fields. We construct renormalized Wick powers and time-ordered products. It is shown that the Wick powers may be defined such that the current and the stress-energy tensor are conserved, and the remaining ambiguity is characterized. We sketch a variant of the background field method that can be used to determine the renormalization group flow at the one loop level from the nontrivial scaling of Wick powers.