Local ζ-Function Techniques vs. Point-Splitting Procedure: A Few Rigorous Results
نویسندگان
چکیده
منابع مشابه
Local ζ - function techniques vs point - splitting proce - dure : a few rigorous results
Abstract: Some general properties of local ζ-function procedures to renormalize some quantities in D-dimensional (Euclidean) Quantum Field Theory in curved background are rigorously discussed for positive scalar operators −∆+V (x) in general closed D-manifolds, and a few comments are given for nonclosed manifolds too. A general comparison is carried out with respect to the more known point-spli...
متن کاملv 1 2 6 M ay 1 99 8 preprint - Local ζ - function techniques vs point - splitting proce - dure : a few rigorous results
Abstract: Some general properties of local ζ-function procedures to regularize (and renormalize) some quantities in D-dimensional (Euclidean) Quantum Field Theory in curved background are rigorously discussed. A comparison is carried out with respect the more known point-splitting procedure. The results are given in general closed manifolds and a few comments are given for nonclosed manifolds t...
متن کاملOne - loop stress - tensor renormalization in curved back - ground : the relation between ζ - function and point - splitting approaches , and an improved point - splitting procedure
Abstract: We conclude the rigorous analysis of the previous paper [Mo98] concerning the relation between the (Euclidean) point-splitting approach and the local ζ-function procedure to renormalize physical quantities at one-loop in (Euclidean) QFT in curved spacetime. The case of the stress tensor is now considered in general D-dimensional closed manifolds for positive scalar operators −∆ + V (x...
متن کاملA review on recent results of the ζ - function regular - ization procedure in curved spacetime
1.1 Preliminaries. Let (L, gL μν) be a Lorentzian manifold which is supposed to be globally hyperbolic. This manifold is said (locally) static whenever it admits a (local) time-like Killing vector ∂t normal to a Cauchy surface Σ. In other words, the manifold admits a (local) coordinate frame (x0, x1, x2, x3) ≡ (t, ~x), where g0i = 0 (i = 1, 2, 3) and ∂tgμν = 0. Let us consider a real scalar fie...
متن کاملCoincidence point and common fixed point results via scalarization function
The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$-metric spaces. Next, we obtain cone $b$-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1999
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050558