Quantum Inequalities from Operator Product Expansions
نویسندگان
چکیده
منابع مشابه
Quantum Inequalities from Operator Product Expansions
Quantum inequalities are lower bounds for local averages of quantum observables that have positive classical counterparts, such as the energy density or the Wick square. We establish such inequalities in general (possibly interacting) quantum field theories on Minkowski space, using nonperturbative techniques. Our main tool is a rigorous version of the operator product expansion.
متن کاملAn Operator Product Inequalities for Polynomials
Let P (z) be a polynomial of degree n ≥ 1. In this paper we define an operator B, as following, B[P (z)] := λ 0 P (z) + λ 1 (nz 2) P ′ (z) 1! + λ 2 (nz 2) 2 P ′′ (z) 2! , where λ 0 , λ 1 and λ 2 are such that all the zeros of u(z) = λ 0 + c(n, 1)λ 1 z + c(n, 2)λ 2 z 2 lie in half plane |z| ≤ |z − n 2 | and obtain a new generalization of some well-known results.
متن کاملOperator Product Expansions in the Massless Schwinger Model
The known operator solution of the massless Schwinger model is used to calculate exactly, in three operator product expansions, the coefficient functions of the first few operators of low dimension which contribute when vacuum matrix elements are to be taken. A comparison of the results provides a test of the procedure used by Shifman, Vainshtein, and Zakharov in their study of &CD. It is found...
متن کاملAdS Box Graphs, Unitarity and Operator Product Expansions
We develop a method of singularity analysis for conformal graphs which, in particular, is applicable to the holographic image of AdS supergravity theory. It can be used to determine the critical exponents for any such graph in a given channel. These exponents determine the towers of conformal blocks that are exchanged in this channel. We analyze the scalar AdS box graph and show that it has the...
متن کاملModifying operator product expansions by non-perturbative non-locality
Local quark-hadron duality violations in conventional applications of the operator product expansion are proposed to have their origin in the fact that the QCD vacuum or a hadronic state is not only characterized by nonvanishing expectation values of local, gauge invariant operators but also by finite correlation lengths of the corresponding gauge invariant n-point functions. Utilizing high-res...
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: 2009
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-009-0853-x