scholarly journals Quantum mechanical path integrals in curved spaces and the type-A trace anomaly

2017 ◽  
Vol 2017 (4) ◽  
Author(s):  
Fiorenzo Bastianelli ◽  
Olindo Corradini ◽  
Edoardo Vassura
Keyword(s):  
Path Integrals ◽  
Type A ◽  
Quantum Mechanical ◽  
Curved Spaces ◽  
Trace Anomaly

scholarly journals ON A NEW METHOD FOR COMPUTING TRACE ANOMALIES

1994 ◽  
Vol 03 (01) ◽  
pp. 145-148 ◽  
Author(s):  
FIORENZO BASTIANELLI
Keyword(s):  
Heat Kernel ◽  
Path Integrals ◽  
New Method ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Particle Theory ◽  
Curved Spaces ◽  
Main Ideas

I describe a new method for computing trace anomalies in quantum field theories which makes use of path-integrals for particles moving in curved spaces. After presenting the main ideas of the method, I discuss how it is connected to the first quantized approach of particle theory and to heat kernel techniques.

SEMICLASSICAL AND QUANTUM WORMHOLES

1992 ◽  
Vol 07 (05) ◽  
pp. 371-380 ◽  
Author(s):  
SUMIO WADA
Keyword(s):  
Equations Of Motion ◽  
Path Integrals ◽  
Saddle Points ◽  
Classical Solutions ◽  
Quantum Mechanical ◽  
The Creation ◽  
Baby Universes

Four-dimensional wormholes are classical solutions of Euclidean gravity which express the process for the creation of baby universes through the tunneling. But a problem is that they exist only in certain types of models. However, we should note that the semiclassical treatment of tunneling does not necessarily requires the existence of “physical” classical solutions. Solutions of classical equations of motion in unphysical regions sometimes represent relevant saddle points for the path integrals. We show that quantum mechanical wormholes proposed recently by Hawking and Page can be interpreted semiclassically in this way. We also discuss how the wormholes can be treated by the Wheeler-DeWitt equation. It is essential to choose an appropriate superspace for the wormholes.

scholarly journals Coordinate independence of quantum-mechanical path integrals

2000 ◽  
Vol 273 (1-2) ◽  
pp. 1-9 ◽  
Author(s):  
H. Kleinert ◽  
A. Chervyakov
Keyword(s):  
Path Integrals ◽  
Quantum Mechanical
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