scholarly journals The phase of scalar field driven wormholes at one loop in the path integral formulation for Euclidean quantum gravity

1992 ◽  
Vol 9 (3) ◽  
pp. 629-640
Author(s):  
A Carlini ◽  
M Martellini
Keyword(s):  
Scalar Field ◽  
Quantum Gravity ◽  
Path Integral ◽  
Integral Formulation ◽  
Path Integral Formulation

Mass gap in Yang's theory of gravity

2015 ◽  
Vol 24 (10) ◽  
pp. 1550070
Author(s):  
Eckehard W. Mielke
Keyword(s):  
Quantum Gravity ◽  
Path Integral ◽  
Open Problem ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Yang Mills ◽  
Mass Gap ◽  
Weyl Invariance ◽  
Vacuum Degeneracy ◽  
Double Duality

The quantization of a curvature-squared model of gravity, in the affine form proposed by Yang, is reconsidered in the path integral formulation. Due to its inherent Weyl invariance, sharing this with internal Yang–Mills fields, it or some of its topological generalizations are still a possible route to quantum gravity. Instanton type solutions with double duality properties exhibit a "vacuum degeneracy", i.e. a bifurcation into distinct classical Einsteinian backgrounds. For linearized fields, this conclusively induces a mass gap in the graviton spectrum, a feature which is an open problem in the quantization of internal Yang–Mills fields.

Path integral formulation of centroid dynamics for systems obeying Bose–Einstein statistics

2001 ◽  
Vol 115 (10) ◽  
pp. 4484-4495 ◽  
Author(s):  
Nicholas V. Blinov ◽  
Pierre-Nicholas Roy ◽  
Gregory A. Voth
Keyword(s):  
Path Integral ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Bose Einstein
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