scholarly journals A slow Galileon scalar field in curved space-time

2012 ◽  
Vol 85 (10) ◽  
Author(s):  
Cristiano Germani ◽  
Luca Martucci ◽  
Parvin Moyassari
Keyword(s):  
Scalar Field ◽  
Space Time ◽  
Curved Space

Electrodynamics in curved space-time: Free-space longitudinal wave propagation

2019 ◽  
Vol 32 (3) ◽  
pp. 282-291 ◽  
Author(s):  
Ole Keller ◽  
Lee M. Hively
Keyword(s):  
Scalar Field ◽  
Longitudinal Wave ◽  
Free Space ◽  
Quantum Electrodynamics ◽  
Wave Theory ◽  
Space Time ◽  
Metric Tensor ◽  
Curved Space ◽  
Magnetization Density ◽  
General Relativistic

Jiménez and Maroto [Phys. Rev. D 83, 023514 (2011)] predicted free-space, longitudinal electrodynamic waves in curved space-time, if the Lorenz condition is relaxed. A general-relativistic extension of Woodside’s electrodynamics [Am. J. Phys. 77, 438 (2009)] includes a dynamical, scalar field in both the potential- and electric/magnetic-field formulations without mixing the two. We formulate a longitudinal-wave theory, eliminating curvature polarization, magnetization density, and scalar field in favor of the electric/magnetic fields and the metric tensor. We obtain a wave equation for the longitudinal electric field for a spatially flat, expanding universe with a scale factor. This work is important, because: (i) the scalar- and longitudinal-fields do not cancel, as in classical quantum electrodynamics; and (ii) this new approach provides a first-principles path to an extended quantum theory that includes acceleration and gravity.

Dimensional renormalization of scalar field theory in curved space-time

1980 ◽  
Vol 130 (1) ◽  
pp. 215-248 ◽  
Author(s):  
Lowell S Brown ◽  
John C Collins
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Space Time ◽  
Scalar Field Theory ◽  
Curved Space

Scalar field theories in curved space-time

1986 ◽  
Vol 171 (1) ◽  
pp. 132-171 ◽  
Author(s):  
Richard Gass ◽  
Max Dresden
Keyword(s):  
Scalar Field ◽  
Space Time ◽  
Field Theories ◽  
Curved Space

scholarly journals Precanonical Structure of the Schrödinger Wave Functional of a Quantum Scalar Field in Curved Space-Time

2019 ◽  
Author(s):  
Igor V. Kanatchikov
Keyword(s):  
Scalar Field ◽  
Delta Function ◽  
Functional Derivative ◽  
Field Configuration ◽  
Space Time ◽  
Wave Functions ◽  
Curved Space ◽  
Nonlinear Scalar Field ◽  
Product Integral ◽  
Limiting Case

A relationship between the functional Schr\"odinger representation and the precanonical quantization of a nonlinear scalar field theory is extended to arbitrary curved space-times. The canonical functional derivative Schr\"odinger equation is derived from the manifestly covariant precanonical Schr\"odinger equation in a singular limiting case when the ultraviolet parameter $\varkappa$ introduced by precanonical quantization is identified with the invariant delta-function at equal spatial points. In the same limiting case, the Schr\"odinger wave functional is expressed as the trace of the multidimensional product integral of Clifford-algebra-valued precanonical wave functions restricted to a certain field configuration. Thus the standard QFT in curved space-time in functional Schr\"odinger representation emerges from the precanonical formulation of quantum fields as a singular limiting case.

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