A good short intro to Perturbative QFT

In summary, the conversation discusses a paper on the arxiv that serves as a preprint for an encyclopedia entry on perturbative quantization of different fields. The paper provides a framework for understanding the concepts and techniques used in this field, with a focus on brief definitions rather than in-depth explanations. The conversation also mentions various methods for quantizing an interacting field theory, including canonical quantization, path integral techniques, and Batalin-Vilkovisky formalism, and highlights the importance of perturbative techniques in understanding quantum field theory.
  • #1
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Here is a paper on the arxiv, preprint of an encyclopedia entry, which might be useful to many to introduce the ideas and techniques used in perturbative quantization of different fields. If you are content to accept for the moment brief definitions instead of leisurely motivations of the various terms, this can provide a framework which will stand you in good stead when you come to study deeper works like Peskin & Schroder or Bailin & Love.


From the introduction:

There are several equivalent formulations of the problem of quantizing an
interacting field theory. The list includes canonical quantization, path integral (or functional) techniques, stochastic quantization, “unified” methods such as the Batalin-Vilkovisky formalism, and techniques based on the realizations of field theories as low energy limits of string theory.
The problem of obtaining an exact nonperturbative description of a given quantum field theory is most often a very difficult one. Perturbative techniques, on the other hand, are abundant, and common to all of the quantization methods mentioned above is that they admit particle
interpretations in this formalism.
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  • #2
Thank you,SA,a really well written article.

  • #3
Thanks. I have to read that.

Related to A good short intro to Perturbative QFT

1. What is Perturbative QFT?

Perturbative QFT (Quantum Field Theory) is a theoretical framework used to describe the dynamics of subatomic particles and their interactions. It combines the principles of quantum mechanics and special relativity to provide a comprehensive understanding of the fundamental forces of nature.

2. How does Perturbative QFT work?

Perturbative QFT uses mathematical equations and principles to calculate the probabilities of different particle interactions. It involves breaking down complex interactions into smaller, simpler components and using a series of approximations to calculate the overall probability.

3. What is the significance of Perturbative QFT?

Perturbative QFT is an essential tool in modern physics as it allows scientists to make predictions and calculate the outcomes of particle interactions. It has been successful in accurately predicting and explaining various phenomena, such as the behavior of subatomic particles and the creation of the universe.

4. What are the limitations of Perturbative QFT?

Perturbative QFT is limited in its ability to accurately describe certain phenomena, such as the behavior of particles at high energies or in extreme conditions. It also does not take into account the effects of gravity, so it cannot be used to describe interactions involving gravity.

5. How is Perturbative QFT used in research?

Perturbative QFT is used extensively in research in fields such as particle physics, cosmology, and quantum gravity. Scientists use it to make predictions and test the accuracy of experimental results. It also serves as a basis for developing more advanced theoretical frameworks and models.

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