scholarly journals Semiclassical limit of new path integral formulation from reduced phase space loop quantum gravity

2020 ◽  
Vol 102 (2) ◽  
Author(s):  
Muxin Han ◽  
Hongguang Liu
Keyword(s):  
Phase Space ◽  
Quantum Gravity ◽  
Path Integral ◽  
Loop Quantum Gravity ◽  
Semiclassical Limit ◽  
Integral Formulation ◽  
Path Integral Formulation

scholarly journals Path Integral Quantization of Regular Lagrangian

2018 ◽  
Vol 10 (1) ◽  
pp. 9
Author(s):  
Ola A. Jarabah
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Integral Method ◽  
Separation Of Variables ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Jacobi Function ◽  
Path Integral Quantization ◽  
Separation Of Variables Method ◽  
Path Integral Method

Path integral formulation based on the canonical method is discussed. The Hamilton Jacobi function for regular Lagrangian is obtained using separation of variables method. This function is used to quantize regular systems using path integral method. The path integral is obtained as integration over the canonical phase space coordinates. One illustrative example is considered to demonstrate the application of our formalism.

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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