Unitarity ofS-matrix in gravidynamics and general covariance in quantum domain

1975 ◽  
Vol 13 (5) ◽  
pp. 187-192 ◽  
Author(s):  
E. S. Fradkin ◽  
G. A. Vilkovisky
Keyword(s):  
General Covariance ◽  
Quantum Domain

scholarly journals CLASSICAL SCALE OF QUANTUM GRAVITY

2003 ◽  
Vol 12 (09) ◽  
pp. 1715-1719 ◽  
Author(s):  
KIRILL A. KAZAKOV
Keyword(s):  
Quantum Gravity ◽  
The Body ◽  
Effective Theory ◽  
General Covariance ◽  
Gravitational Radius ◽  
Quantum Theories ◽  
Quantum Domain ◽  
Gravity Effects ◽  
Number Of Particles

Characteristic length scale of the post-Newtonian corrections to the gravitational field of a body is given by its gravitational radius r g . The role of this scale in quantum domain is discussed in the context of the low-energy effective theory. The question of whether quantum gravity effects appear already at r g leads to the question of correspondence between classical and quantum theories, which in turn can be unambiguously resolved by considering the issue of general covariance. The O(ℏ0) loop contributions turn out to violate the principle of general covariance, thus revealing their essentially quantum nature. The violation is O(1/N), where N is the number of particles in the body. This leads naturally to a macroscopic formulation of the correspondence principle.

Learning Unsupervised and Supervised Representations via General Covariance

2020 ◽  
pp. 1-1
Author(s):  
Yun-Hao Yuan ◽  
Jin Li ◽  
Yun Li ◽  
Jianping Gou ◽  
Jipeng Qiang
Keyword(s):  
General Covariance

Paradigms and Paradoxes: The philosophical challenge of the quantum domain

Philosophia ◽  
1976 ◽  
Vol 6 (2) ◽  
pp. 333-344 ◽  
Author(s):  
Jeffrey Bub ◽  
William Demopoulos
Keyword(s):  
Quantum Domain ◽  
Philosophical Challenge

GENERAL COVARIANCE, TOPOLOGICAL QUANTUM FIELD THEORIES AND FRACTIONAL STATISTICS

1992 ◽  
Vol 07 (02) ◽  
pp. 209-234 ◽  
Author(s):  
J. GAMBOA
Keyword(s):  
Hamiltonian Formalism ◽  
Field Theories ◽  
General Covariance ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Fractional Statistics ◽  
Multiply Connected ◽  
Topological Quantum ◽  
Gauge Fixing ◽  
Topological Quantum Field Theories

Topological quantum field theories and fractional statistics are both defined in multiply connected manifolds. We study the relationship between both theories in 2 + 1 dimensions and we show that, due to the multiply-connected character of the manifold, the propagator for any quantum (field) theory always contains a first order pole that can be identified with a physical excitation with fractional spin. The article starts by reviewing the definition of general covariance in the Hamiltonian formalism, the gauge-fixing problem and the quantization following the lines of Batalin, Fradkin and Vilkovisky. The BRST–BFV quantization is reviewed in order to understand the topological approach proposed here.

General Covariance and Elementary Particles

1958 ◽  
Vol 110 (5) ◽  
pp. 1200-1203 ◽  
Author(s):  
R. Finkelstein
Keyword(s):  
Elementary Particles ◽  
General Covariance
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