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Your search keyword '"conformal invariance"' showing total 441 results
Start Over Descriptor "conformal invariance" Topic quantum field theory
441 results on '"conformal invariance"'

1. New Classes of Solutions for Euclidean Scalar Field Theories.

Author

Bender, Carl M. and Sarkar, Sarben

Subjects
*SCALAR field theory, *CONFORMAL invariants, *ORDINARY differential equations, *NONLINEAR differential equations, *DIFFERENTIAL equations, *QUANTUM field theory
Abstract

This paper presents new classes of exact radial solutions to the nonlinear ordinary differential equation that arises as a saddle-point condition for a Euclidean scalar field theory in D-dimensional spacetime. These solutions are found by exploiting the dimensional consistency of the radial differential equation for a single massless scalar field, which allows it to transform into an autonomous equation. For massive theories, the radial equation is not exactly solvable, but the massless solutions provide useful approximations to the results for the massive case. The solutions presented here depend on the power of the interaction and on the spatial dimension, both of which may be noninteger. Scalar equations arising in the study of conformal invariance fit into this framework, and classes of new solutions are found. These solutions exhibit two distinct behaviors as D → 2 from above. [ABSTRACT FROM AUTHOR]

Published
2024
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3. A note on the Friedmann universe with a higher order gravity.

Author

Mishra, Aditya M.

Subjects
*GRAVITATIONAL fields, *GRAVITATION, *GRAVITY, *QUANTUM field theory, *BLACK holes, UNIVERSE
Abstract

New images of black holes in recent times have created a strong validity of the Friedmann universe. Since the Friedmann universe possess singularity, synonymously black holes, its quantum aspect becomes more important for study. We have explored the Friedmann universe with reference to higher order gravity theory, a natural generalization of Einstein theory of gravity. Particle creation in vacuum space-time in the presence of strong gravitation field has been explained and thus emphasized upon gravitons creation as well as non-conformal invariance of the higher order theory in this context. [ABSTRACT FROM AUTHOR]

Published
2020

4. Spinning cosmic strings in conformal gravity.

Author

slagter, Reinoud Jan and Duston, Christopher Levi

Subjects
*COSMIC strings, *QUANTUM field theory, *CONFORMAL invariants, *CONFORMAL field theory, *SCALAR field theory, *GRAVITY
Abstract

We investigate the space–time of a spinning cosmic string in conformal invariant gravity, where the interior consists of a gauged scalar field. We find exact solutions of the exterior of a stationary spinning cosmic string, where we write the metric as g μ ν = ω 2 g ̃ μ ν , with ω a dilaton field which contains all the scale dependences. The "unphysical" metric g ̃ μ ν is related to the (2 + 1) -dimensional Kerr space–time. The equation for the angular momentum J decouples, for the vacuum situation as well as for global strings, from the other field equations and delivers a kind of spin-mass relation. For the most realistic solution, J falls off as ∼ 1 r and ∂ r J → 0 close to the core. The space–time is Ricci flat. The formation of closed timelike curves can be pushed to space infinity for suitable values of the parameters and the violation of the weak energy condition can be avoided. For the interior, a numerical solution is found. This solution can easily be matched at the boundary on the exterior exact solution by special choice of the parameters of the string. This example shows the power of conformal invariance to bridge the gap between general relativity and quantum field theory. [ABSTRACT FROM AUTHOR]

Published
2020
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