The article reviews recent progress in computational quantum gravity caused
by the framework that efficiently computes Feynman’s rules. The framework is
implemented in the FeynGrav package, which extends the functionality of the
widely used FeynCalc package. FeynGrav provides all the tools to study quantum
gravitational effects within the standard model. We review the framework,
provide the theoretical background for the efficient computation of Feynman
rules, and present the proof of its completeness. We review the derivation of
Feynman rules for general relativity, Horndeski gravity, Dirac fermions, Proca
field, electromagnetic field, and SU(N) Yang-Mills model. We conclude with a
discussion of the current state of the FeynGrav package and discuss its further
development.
Recent Progress in Computational Quantum Gravity
The article reviews recent progress in computational quantum gravity caused by the framework that efficiently computes Feynman’s rules. The framework is implemented in the FeynGrav package, which extends the functionality of the widely used FeynCalc package. FeynGrav provides all the tools to study quantum gravitational effects within the standard model.
Theoretical Background
We present the theoretical background for the efficient computation of Feynman rules and provide a detailed explanation of the framework’s implementation in the FeynGrav package. The efficient computation of Feynman rules is crucial for advancing our understanding of quantum gravity and its effects on various physical phenomena.
Derivation of Feynman Rules
We review the derivation of Feynman rules for several specific models, including general relativity, Horndeski gravity, Dirac fermions, Proca field, electromagnetic field, and SU(N) Yang-Mills model. Understanding the Feynman rules for these models is essential for accurately studying their behavior under quantum gravitational effects.
Completeness Proof
We present the proof of the completeness of the framework for computing Feynman rules. This proof validates the accuracy and reliability of the computational methods implemented in the FeynGrav package. It ensures that researchers can trust the results obtained through this framework when studying quantum gravitational effects.
Current State and Further Development
We discuss the current state of the FeynGrav package and highlight its strengths and limitations. Despite the significant progress made, there are still several challenges that need to be addressed. These challenges include improving computational efficiency, expanding the framework’s applicability to more complex models, and integrating it with other computational tools in the field of quantum gravity.
Future Roadmap
The future roadmap for the readers of this article involves embracing the opportunities and challenges in the computational study of quantum gravity. Researchers can leverage the FeynGrav package to continue exploring quantum gravitational effects within the standard model. Further development of the package should focus on enhancing its computational efficiency, expanding its capabilities to encompass more diverse models, and fostering collaborations with other quantum gravity research communities.
By addressing these challenges and capitalizing on the opportunities, researchers will be able to deepen our understanding of quantum gravity and its implications for our fundamental understanding of the universe.