Some basic questions about effective field theory (EFT)

In summary, effective field theory (EFT) is a theoretical framework used in physics to study complex systems by focusing on low energy phenomena and taking into account the hierarchy of energy scales. EFT differs from traditional field theory in its ability to simplify complex systems and incorporate new information, but it has limitations in its applicability to high energy phenomena and its ability to make precise predictions. EFT is used in various practical applications, including particle physics, nuclear physics, condensed matter physics, cosmology, and astrophysics.
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Concerning the operator product expansion and the expansion of the heavy propagator
I had been studying this topic from various textbooks and review articles and I am confused about some terminologies and concepts. The question I have typed in this PDF.

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FAQ: Some basic questions about effective field theory (EFT)

What is effective field theory (EFT)?

Effective field theory is a framework used in theoretical physics to describe the dynamics of a physical system at a specific energy scale. It allows for the simplification of complex systems by focusing on the most relevant interactions and particles at a given energy range.

How is EFT different from other theories?

EFT differs from other theories in that it is not a fundamental theory, but rather an effective description of a system. It takes into account the limitations of our current understanding and allows for the inclusion of unknown or higher energy interactions.

What are the advantages of using EFT?

One of the main advantages of EFT is its flexibility and applicability to a wide range of physical systems. It also allows for the incorporation of new experimental data and can be used to make predictions at energy scales beyond our current capabilities.

How is EFT used in practical applications?

EFT is used in a variety of practical applications, including particle physics, nuclear physics, and cosmology. It is also used in the development of new technologies, such as precision measurements and high-energy particle accelerators.

What are the limitations of EFT?

One limitation of EFT is that it is only applicable within a specific energy range and may break down at higher energies. It also relies on certain assumptions and approximations, which may not always hold true. Additionally, EFT does not provide a complete understanding of the underlying fundamental theory.

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