Quantum action principle in curved space

1975 ◽  
Vol 5 (1) ◽  
pp. 143-158 ◽  
Author(s):  
T. Kawai
Keyword(s):  
Action Principle ◽  
Curved Space ◽  
Quantum Action ◽  
Quantum Action Principle

scholarly journals Schwinger's Quantum Action Principle

2015 ◽  
Author(s):  
Kimball A. Milton
Keyword(s):  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

scholarly journals Gauge invariance, the quantum action principle, and the renormalization group

1996 ◽  
Vol 378 (1-4) ◽  
pp. 213-221 ◽  
Author(s):  
Marco D'Attanasio ◽  
Tim R. Morris
Keyword(s):  
Renormalization Group ◽  
Gauge Invariance ◽  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

Quantum Action Principle

2001 ◽  
pp. 195-221
Author(s):  
Julian Schwinger
Keyword(s):  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

Quantum action principle and base operators for bosons and fermions

2005 ◽  
Vol 626 (1-4) ◽  
pp. 256-261
Author(s):  
L.D. Swift ◽  
Z.E. Musielak ◽  
J.L. Fry
Keyword(s):  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

scholarly journals Recursive construction of the operator product expansion in curved space

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Markus B. Fröb
Keyword(s):  
Operator Product Expansion ◽  
Natural Extension ◽  
Coupling Constants ◽  
Operator Product ◽  
De Sitter ◽  
Curved Space ◽  
Free Theory ◽  
Quartic Interaction ◽  
Quantum Action ◽  
Quantum Action Principle

Abstract I derive a formula for the coupling-constant derivative of the coefficients of the operator product expansion (Wilson OPE coefficients) in an arbitrary curved space, as the natural extension of the quantum action principle. Expanding the coefficients themselves in powers of the coupling constants, this formula allows to compute them recursively to arbitrary order. As input, only the OPE coefficients in the free theory are needed, which are easily obtained using Wick’s theorem. I illustrate the method by computing the OPE of two scalars ϕ in hyperbolic space (Euclidean Anti-de Sitter space) up to terms vanishing faster than the square of their separation to first order in the quartic interaction gϕ4, as well as the OPE coefficient "Image missing" at second order in g.

Subspace quantum dynamics and the quantum action principle

1978 ◽  
Vol 68 (8) ◽  
pp. 3680-3691 ◽  
Author(s):  
Richard F. W. Bader ◽  
Shalom Srebrenik ◽  
T. Tung Nguyen‐Dang
Keyword(s):  
Quantum Dynamics ◽  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

1997 Polanyi Award Lecture Why are there atoms in chemistry?

1998 ◽  
Vol 76 (7) ◽  
pp. 973-988 ◽  
Author(s):  
RFW Bader
Keyword(s):  
Open Systems ◽  
Real Space ◽  
Action Principle ◽  
Nuclear Model ◽  
Chemical Information ◽  
Density Distributions ◽  
Atomic Hypothesis ◽  
Quantum Action ◽  
Definition Of ◽  
Quantum Action Principle

Dalton made a bold assumption in his atomic hypothesis by stating that atoms retained their mass and their identity in chemical combination. Its vindication had to await Rutherford's nuclear model of the atom. The continuing evolution of chemistry led to the realization that atoms exhibit not only a unique mass but also characteristic additive properties, thereby making it possible to recognize their presence in a molecule and to predict the molecule's static and reactive properties. The theoretical vindication of the model of a functional group as the carrier of chemical information had to await the work of Feynman and Schwinger. Their generalization of physics leads to a unique definition of an atom as an open quantum system and makes possible the renormalization that is required to account for the short-range nature of the forces that enable one to identify a given group in any environment. The lecture will demonstrate that the proper open systems predicted by the quantum action principle define the atom and that this definition accounts for the retention of an atom's chemical identity by enabling one to replace the quantum mechanical observables for force and energy with dressed, real space density distributions whose forms parallel the transferable topology of the electron density distribution.Key words: atom, action principle, atoms in molecules, functional groups.

Quantum action principle and path integrals for long-range interactions

1985 ◽  
Vol 90 (3) ◽  
pp. 295-307 ◽  
Author(s):  
E. B. Manoukian
Keyword(s):  
Long Range ◽  
Path Integrals ◽  
Action Principle ◽  
Long Range Interactions ◽  
Quantum Action ◽  
Quantum Action Principle
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