Quantum fields in curved space-times and scattering theory

1982 ◽  
pp. 272-295 ◽  
Author(s):  
Bernard S. Kay
Keyword(s):  
Scattering Theory ◽  
Quantum Fields ◽  
Curved Space

scholarly journals Scattering Theory for Quantum Fields¶with Indefinite Metric

2001 ◽  
Vol 216 (3) ◽  
pp. 491-513 ◽  
Author(s):  
Sergio Albeverio ◽  
Hanno Gottschalk
Keyword(s):  
Scattering Theory ◽  
Indefinite Metric ◽  
Quantum Fields

scholarly journals Quantum motion of a spinless particle in curved space: A viewpoint of scattering theory

2019 ◽  
Vol 128 (1) ◽  
pp. 10002
Author(s):  
Fabiano M. Andrade ◽  
Augusto R. Chumbes ◽  
Cleverson Filgueiras ◽  
Edilberto O. Silva
Keyword(s):  
Scattering Theory ◽  
Spinless Particle ◽  
Curved Space ◽  
Quantum Motion

scholarly journals FRAME TRANSFORMATIONS OF GRAVITATIONAL THEORIES

2013 ◽  
Vol 28 (12) ◽  
pp. 1350042 ◽  
Author(s):  
XAVIER CALMET ◽  
TING-CHENG YANG
Keyword(s):  
Gravitational Theory ◽  
Space Time ◽  
Einstein Frame ◽  
Jordan Frame ◽  
Quantum Field ◽  
Quantum Fields ◽  
Theoretical Level ◽  
Curved Space ◽  
Inflation Model ◽  
Gravitational Theories

We show how to map gravitational theories formulated in the Jordan frame to the Einstein frame at the quantum field theoretical level considering quantum fields in curved space–time. As an example, we consider gravitational theories in the Jordan frame of the type F(ϕ, R) = f(ϕ)R-V(ϕ) and perform the map to the Einstein frame. Our results can easily be extended to any gravitational theory. We consider the Higgs inflation model as an application of our results.

Cosmological perturbations and quantum fields in curved space

1988 ◽  
Vol 303 (4) ◽  
pp. 728-750 ◽  
Author(s):  
Ikuo Shirai ◽  
Sumio Wada
Keyword(s):  
Quantum Fields ◽  
Cosmological Perturbations ◽  
Curved Space

Scattering on Riemannian Symmetric Spaces and Huygens Principle

2018 ◽  
Vol 30 (08) ◽  
pp. 1840015
Author(s):  
Michael Semenov-Tian-Shansky
Keyword(s):  
Wave Equation ◽  
Scattering Theory ◽  
Symmetric Spaces ◽  
Evolution System ◽  
Semisimple Lie Groups ◽  
Curved Space ◽  
Zero Curvature ◽  
Famous Paper ◽  
Huygens Principle ◽  
Riemannian Symmetric Spaces

The famous paper by L. D. Faddeev and B. S. Pavlov (1972) on automorphic wave equation explored a highly romantic link between Scattering Theory (in the sense of Lax and Phillips) and Riemann hypothesis. An attempt to generalize this approach to general semisimple Lie groups leads to an interesting evolution system with multidimensional time explored by the author in 1976. In the present paper, we compare this system with a simpler one defined for zero curvature symmetric spaces and show that the Huygens principle for this system in the curved space holds if and only if it holds in the zero curvature limit.

Quantum Fields in Curved Space

1982 ◽  
Author(s):  
N. D. Birrell ◽  
P. C. W. Davies
Keyword(s):  
Quantum Fields ◽  
Curved Space
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