### Posts

### Modern Physics Understood as an Unrecognized Kuhnian Revolution

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People often claim on Physics Forums and in the foundations community proper that quantum mechanics is "incomplete." Indeed, Lee Smolin recently wrote…

### Mathematical Quantum Field Theory - Renormalization

This is one chapter in a series on Mathematical Quantum Field TheoryThe previous chapter is: 15. Interacting quantum fields.
16. Renormalization
In…

### Mathematical Quantum Field Theory - Interacting Quantum Fields

This is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 14. Free quantum fields.The next chapter is 16. Renormalization.
15.…

### Mathematical Quantum Field Theory - Free Quantum Fields

This is one chapter in a series on Mathematical Quantum Field TheoryThe previous chapter is 13. Quantization.The next chapter is 15. Interacting…

### Mathematical Quantum Field Theory - Quantization

The following is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 12. Gauge fixing.The next chapter is 14.…

### Mathematical Quantum Field Theory - Gauge Fixing

The following is one chapter in a series of Mathematical Quantum Field Theory.The previous chapter is 11. Reduced phase space.The next chapter…

### Mathematical Quantum Field Theory - Reduced Phase Space

The following is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 10. Gauge symmetries.The next chapter is…

### Interview with Mathematician and Physicist Arnold Neumaier

Please give us a brief background on yourselfOver 40 years ago, I studied mathematics, physics and computer science in Freiburg and Berlin (Germany).…

### Mathematical Quantum Field Theory - Gauge Symmetries

This is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 9. Propagators.The next chapter is 11. Reduced phase…

### Mathematical Quantum Field Theory - Propagators

This is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 8. Phase space.The next chapter is 10. Gauge symmetries.
9.…

### Mathematical Quantum Field Theory - Phase Space

The following is one chapter of a series on Mathematical Quantum Field Theory.The previous chapter is 7. Observables.The next chapter is 9. Propagators.
8.…

### Mathematical Quantum Field Theory - Observables

The following is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 6. Symmetries.The next chapter is 8. Phase…

### Mathematical Quantum Field Theory - Symmetries

The following is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 5. Lagrangians.The next chapter is 7. Observables.
6.…

### Mathematical Quantum Field Theory - Lagrangians

This is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 4. Field Variations.The next chapter is 6. Symmetries.
5.…

### Mathematical Quantum Field Theory - Field Variations

This is chapter 4 of a series on Mathematical Quantum Field Theory.The previous chapter is 3. Fields.The next chapter is 5. Lagrangians.
4.…

### The Fields of Mathematical Quantum Field Theory

The following is one chapter in a series on Mathematical Quantum Field TheoryThe previous chapter is 2. Spacetime.The next chapter is 4. Field…

### Spacetime in Mathematical Quantum Field Theory

The following is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 1. Geometry.The next chapter is 3. Fields
2.…

### The Geometry of Mathematical Quantum Field Theory

This is the first chapter in a series on Mathematical Quantum Field Theory.The next chapter is 2. Spacetime.
1. Geometry
The geometry of physics…

### A First Idea of Quantum Field Theory - 20 Part Series

These notes mean to give an expository but rigorous introduction to the basic concepts of relativistic perturbative quantum field theories, specifically…

### Introduction to Perturbative Quantum Field Theory

This is the beginning of a series that gives an introduction to perturbative quantum field theory (pQFT) on Lorentzian spacetime backgrounds in its…

### Entanglement Entropy: Quantum Field Theory

Part 1: Quantum Mechanics[This article expects the reader to have some experience with quantum field theory and path integrals][I should also…

### Vacuum Fluctuations in Experimental Practice

This Insight Article is a sequel of the Insight Articles ”The Physics of Virtual Particles”, “Misconceptions about Virtual Particles“ , and ''The…

### Quantum Amplitudes, Probabilities and EPR

This is a little note about quantum amplitudes. Even though quantum probabilities seem very mysterious, with weird interference effects and seemingly nonlocal…

### Struggles with the Continuum: Spacetime Conclusion

We've been looking at how the continuum nature of spacetime poses problems for our favorite theories of physics --- problems with infinities.…

### Struggles with the Continuum: General Relativity

Combining electromagnetism with relativity and quantum mechanics led to QED. Last time we saw the immense struggles with the continuum this…

### Learn the Top Misconceptions about Virtual Particles

This Insight Article is a sequel of the Insight Article ''The Physics of Virtual Particles'', which contains an exposition of definitions that are physically…

### Learn the Physics of Virtual Particles

In discussions on the internet (including a number of wikipedia pages) and in books and articles for non-experts in particle physics, there is considerable…

### Struggles with the Continuum: Quantum Electrodynamics

Quantum field theory is the best method we have for describing particles and forces in a way that takes both quantum mechanics…

### Struggles with the Continuum - Relativity and Quantum

In this series we're looking at mathematical problems that arise in physics due to treating spacetime as a continuum---basically, problems…

### Causal Perturbation Theory

Relativistic quantum field theory is notorious for the occurrence of divergent expressions that must be renormalized by recipes that on first sight sound…

### Renormalisation Made Easy

What Is The Issue With Renormalisation
If you have an interest in physics you have likely come across renormalisation before, although what it really…