Quantum Field Theory and Electrcity

In summary, the relationship between AC/DC current and Quantum Field Theory is complex and requires extensive study to fully understand. However, for practical purposes, the calculations and results are similar to those of circuit theory, and thus the full QFT treatment is not necessary in understanding electrical currents. This answer applies to any questions regarding the connection between QFT and large-scale electrical phenomena.
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How work AC/DC current in Quantum Field Theory
 
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arnoldcena3000 said:
How work AC/DC current in Quantum Field Theory
As with your other thread, the answer to this question is going to start with a very thick book, not a post in an internet forum. (For an example of the sort of book we're talking about, try https://web.physics.ucsb.edu/~mark/ms-qft-DRAFT.pdf - and that's just to get started).

However, when you're talking about AC/DC current, you're working with very large numbers of particles at fairly modest energy levels, and under those circumstances all the math of QFT ends up giving you the same final results as ordinary circuit theory, the stuff you learn in high school or your first year or so of college. Thus, no one actually spends years and thousands of pages doing the full QFT treatment of electrical currents - it just gets in the way of understanding.

This is basically the same answer as for your previous question on triboelectricity, and it is the same answer you will get for any other question about how QFT relates to large-scale electrical phenomena, anything that involves currents, potential, or more than a very few particles. We have to ask you not to post more such questions, because the answer won't change.

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What is Quantum Field Theory?

Quantum Field Theory (QFT) is a theoretical framework used to describe the interactions between particles in the subatomic realm. It combines the principles of quantum mechanics and special relativity to explain the behavior of particles and fields.

How does Quantum Field Theory relate to electricity?

QFT helps to explain the behavior of electric fields and their interaction with charged particles. It also provides a mathematical framework for understanding the quantum nature of electrons and their role in generating electric current.

What is the role of virtual particles in Quantum Field Theory?

Virtual particles are an essential component of QFT as they represent the fluctuations of quantum fields. These fluctuations can result in the creation and annihilation of particles, which play a crucial role in the interactions between particles and fields.

What are the implications of Quantum Field Theory for modern technology?

QFT has led to significant advances in modern technology, particularly in the fields of electronics and computing. Understanding the behavior of particles and fields at the quantum level has allowed for the development of technologies such as transistors, lasers, and computer chips.

What are the current challenges in understanding Quantum Field Theory and electricity?

While QFT has been successful in explaining many phenomena, there are still some unresolved issues, such as the unification of quantum mechanics with general relativity. Additionally, the behavior of particles and fields in extreme conditions, such as in black holes, is still not fully understood.

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