scholarly journals A Spin-Statistics Theorem for Quantum Fields¶on Curved Spacetime Manifolds¶in a Generally Covariant Framework

2001 ◽  
Vol 223 (2) ◽  
pp. 261-288 ◽  
Author(s):  
Rainer Verch
Keyword(s):  
Quantum Fields ◽  
Curved Spacetime ◽  
Generally Covariant

scholarly journals Quantum Fields in Curved Spacetime

2015 ◽  
pp. 513-552 ◽  
Author(s):  
Stefan Hollands ◽  
Robert M. Wald
Keyword(s):  
Quantum Fields ◽  
Curved Spacetime

Scaling behavior of interacting quantum fields in curved spacetime

1982 ◽  
Vol 25 (4) ◽  
pp. 1019-1027 ◽  
Author(s):  
Bruce L. Nelson ◽  
Prakash Panangaden
Keyword(s):  
Scaling Behavior ◽  
Quantum Fields ◽  
Curved Spacetime

scholarly journals Lattice gauge theory and gluon color-confinement in curved spacetime

2015 ◽  
Vol 30 (05) ◽  
pp. 1550020 ◽  
Author(s):  
Kristian Hauser Villegas ◽  
Jose Perico Esguerra
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Covariant Form ◽  
Curved Spacetime ◽  
Color Confinement ◽  
Lattice Gauge ◽  
Frw Metric ◽  
Generally Covariant ◽  
The Continuum

The lattice gauge theory (LGT) for curved spacetime is formulated. A discretized action is derived for both gluon and quark fields which reduces to the generally covariant form in the continuum limit. Using the Wilson action, it is shown analytically that for a general curved spacetime background, two propagating gluons are always color-confined. The fermion-doubling problem is discussed in the specific case of Friedman–Robertson–Walker (FRW) metric. Last, we discussed possible future numerical implementation of lattice QCD in curved spacetime.

Physics in Curved Spacetime

2021 ◽  
pp. 211-253
Author(s):  
Moataz H. Emam
Keyword(s):  
Black Hole ◽  
Vector Fields ◽  
Killing Vector ◽  
Schwarzschild Black Hole ◽  
Curved Spacetime ◽  
Killing Vector Fields ◽  
Event Horizons ◽  
Free Particles ◽  
Generally Covariant

We discuss mechanics in curved spacetime backgrounds, gravitational time dilation, the motion of free particles, geodesics. We use the Schwarzschild metric as a case study and solve for motion along radial and orbital geodesics. This includes the strange behaviour around the event horizons of a Schwarzschild black hole. Isometries and Killing vector fields are explained and applied. Finally a brief presentation of generally covariant electrodynamics is given.

scholarly journals O(N)quantum fields in curved spacetime

1997 ◽  
Vol 56 (2) ◽  
pp. 661-677 ◽  
Author(s):  
S. A. Ramsey ◽  
B. L. Hu
Keyword(s):  
Quantum Fields ◽  
Curved Spacetime

Quantum fields in curved spacetime

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Event Horizon ◽  
Particle Production ◽  
Conformal Symmetry ◽  
Space Time ◽  
Unruh Effect ◽  
Quantum Fields ◽  
Curved Spacetime ◽  
Bogolyubov Transformation ◽  
Curved Space ◽  
Thermal Spectrum

After a review of conformal symmetry, this chapter covers the quantisation of fields in curved space-times. It is shown that field operators defined with respect to different vacua are related by a Bogolyubov transformation and that the mixing of positive and negative frequencies determines the amount of particle production. The Unruh effect is explained and it is shown that in a space-time with an event horizon, a thermal spectrum of particles is created close to the horizon.

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