2007/07/31 by Burak Tevfik Kaynak, O. Teoman Turgut
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Calculus (dental) #Dirac (video compression format) #Dirac operator #Operator (biology) #Operator theory #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Scalar (mathematics) #Semigroup #Symbol (formal) #math-ph #math.MP
paper · pdf · doi:10.1063/1.2801883
published as J.Math.Phys.48:113501,2007 · Added references, some typos corrected, published version
openalex publication_date 2007/11/01 · arxiv created 2007/12/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this work, we use semigroup integral to evaluate zeta-function regularized determinants. This is especially powerful for nonpositive operators such as the Dirac operator. In order to understand fully the quantum effective action, one should know not only the potential term but also the leading kinetic term. In this purpose, we use the Weyl type of symbol calculus to evaluate the determinant as a derivative expansion. The technique is applied both to a spin-0 bosonic operator and to the Dirac operator coupled to a scalar field.