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Quantum Field Theory

In modern theoretical physics, quantum field theory is the framework for constructing quantum mechanical models of subatomic particles in particle physics. Here are all the Insights that have been tagged as relevant to Quantum Field Theory.

In ordinary quantum mechanics (QM), you treat particles quantum mechanically.

In quantum field theory (QFT), you treat fields quantum mechanically. It turns out that in addition to the classically known fields (like the electromagnetic field) there are new “quantum fields” for all fundamental particles (like the electron). In this sense, QFT is more fundamental than ordinary QM. The most fundamental theory up to date -the Standard Model of particle physics- is a QFT.

Tag Archive for: Quantum Field Theory

Kuhnian Revolution

Modern Physics Understood as an Unrecognized Kuhnian Revolution

October 15, 2019
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16 Comments
People often claim on Physics Forums and in the foundations community proper that quantum mechanics is "incomplete." Indeed, Lee Smolin recently wrote…
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qft_renormalization

Learn Renormalization in Mathematical Quantum Field Theory

February 8, 2018
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9 Comments
This is one chapter in a series on Mathematical Quantum Field TheoryThe previous chapter is: 15. Interacting quantum fields. 16. Renormalization In…
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Learn Interacting Quantum Fields in Mathematical Quantum Field Theory

January 29, 2018
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9 Comments
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.…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/qft_quantumfields.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2018-01-29 01:34:392024-12-06 21:31:17Learn Interacting Quantum Fields in Mathematical Quantum Field Theory
qft_freequantum

Learn Free Quantum Fields in Mathematical Quantum Field Theory

January 29, 2018
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1 Comment
This is one chapter in a series on Mathematical Quantum Field TheoryThe previous chapter is 13. Quantization.The next chapter is 15. Interacting…
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qtf_quantization

Learn Quantization in Mathematical Quantum Field Theory

January 8, 2018
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14 Comments
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.…
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qft_gauge

Learn Gauge Fixing in Mathematical Quantum Field Theory

December 28, 2017
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1 Comment
The following is one chapter in a series of Mathematical Quantum Field Theory.The previous chapter is 11. Reduced phase space.The next chapter…
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qtf_phased_space

Learn Reduced Phase Space in Mathematical Quantum Field Theory

December 18, 2017
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4 Comments
The following is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 10. Gauge symmetries.The next chapter is…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/qtf_phased_space.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-12-18 01:34:392025-03-13 07:47:00Learn Reduced Phase Space in Mathematical Quantum Field Theory
arnold

Arnold Neumaier Interview: QFT Foundations & Thermal

December 11, 2017
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39 Comments
Please give us a brief background on yourself Over 40 years ago, I studied mathematics, physics and computer science in Freiburg and Berlin (Germany).…
https://www.physicsforums.com/insights/wp-content/uploads/2017/12/arnold.png 135 240 Arnold Neumaier https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Arnold Neumaier2017-12-11 15:25:072026-01-22 10:04:06Arnold Neumaier Interview: QFT Foundations & Thermal
qtf_guagesym

Learn Gauge Symmetries in Mathematical Quantum Field Theory

December 6, 2017
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18 Comments
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…
https://www.physicsforums.com/insights/wp-content/uploads/2017/12/qtf_guagesym.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-12-06 01:34:392020-12-31 12:45:26Learn Gauge Symmetries in Mathematical Quantum Field Theory
qft_prapagators

Learn Propagators in Mathematical Quantum Field Theory

November 28, 2017
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8 Comments
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.…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/qft_prapagators.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-11-28 01:34:392024-12-06 21:31:16Learn Propagators in Mathematical Quantum Field Theory
qtf_phasespace

Learn Phase Space in Mathematical Quantum Field Theory

November 24, 2017
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7 Comments
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.…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/qtf_phasespace.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-11-24 01:34:392020-12-31 10:14:21Learn Phase Space in Mathematical Quantum Field Theory
qtf_observables

Learn Observables in Mathematical Quantum Field Theory

November 19, 2017
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8 Comments
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…
https://www.physicsforums.com/insights/wp-content/uploads/2017/11/qtf_observables.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-11-19 01:34:392024-12-06 21:31:15Learn Observables in Mathematical Quantum Field Theory
qtf_symmerities

Learn Symmetries in Mathematical Quantum Field Theory

November 16, 2017
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4 Comments
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.…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/qtf_symmerities.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-11-16 01:34:392023-08-19 07:00:13Learn Symmetries in Mathematical Quantum Field Theory
qft_lang

Learn Lagrangians in Mathematical Quantum Field Theory

November 14, 2017
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42 Comments
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.…
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qtf_field_variations2

Learn Field Variations in Mathematical Quantum Field Theory

November 12, 2017
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6 Comments
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.…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/qtf_field_variations2.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-11-12 01:34:392025-03-13 07:47:03Learn Field Variations in Mathematical Quantum Field Theory
qtf_fields

Learn the Fields of Mathematical Quantum Field Theory

November 9, 2017
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82 Comments
The following is one chapter in a series on Mathematical Quantum Field TheoryThe previous chapter is 2. Spacetime.The next chapter is 4. Field…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/qtf_fields.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-11-09 01:34:392024-12-06 21:31:19Learn the Fields of Mathematical Quantum Field Theory
qft_spacetime

Learn Spacetime in Mathematical Quantum Field Theory

November 7, 2017
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9 Comments
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.…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/qft_spacetime.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-11-07 01:34:392021-04-18 09:05:14Learn Spacetime in Mathematical Quantum Field Theory
qtf_geometry

Learn the Geometry of Mathematical Quantum Field Theory

November 5, 2017
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33 Comments
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…
https://www.physicsforums.com/insights/wp-content/uploads/2017/10/qtf_geometry.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2017-11-05 01:34:392021-04-18 09:06:55Learn the Geometry of Mathematical Quantum Field Theory
quantumfieldtheory

A First Idea of Quantum Field Theory – 20 Part Series

November 2, 2017
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8 Comments
These notes mean to give an expository but rigorous introduction to the basic concepts of relativistic perturbative quantum field theories, specifically…
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perturbation

Introduction to Perturbative Quantum Field Theory

September 12, 2017
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110 Comments
This is the beginning of a series that gives an introduction to perturbative quantum field theory (pQFT) on Lorentzian spacetime backgrounds in its…
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entanglement_entropy2

Lesson on Entanglement Entropy in Quantum Field Theory

June 20, 2017
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3 Comments
Part 1: Quantum Mechanics[This article expects the reader to have some experience with quantum field theory and path integrals][I should also…
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quantumflux

Learn About Vacuum Fluctuations in Experimental Practice

January 19, 2017
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41 Comments
Introduction and context This Insight Article is a sequel of the Insight Articles ”The Physics of Virtual Particles”, “Misconceptions about Virtual…
https://www.physicsforums.com/insights/wp-content/uploads/2017/01/quantumflux.png 135 240 Arnold Neumaier https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Arnold Neumaier2017-01-19 20:51:372026-02-16 21:20:03Learn About Vacuum Fluctuations in Experimental Practice
quantumapplitudes

Learn About Quantum Amplitudes, Probabilities and EPR

December 10, 2016
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83 Comments
This is a little note about quantum amplitudes. Even though quantum probabilities seem very mysterious, with weird interference effects and seemingly nonlocal…
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spacetimecon

Struggles with the Continuum: Spacetime Conclusion

September 7, 2016
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4 Comments
 We've been looking at how the continuum nature of spacetime poses problems for our favorite theories of physics --- problems with infinities.…
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spacetime7

Struggles with the Continuum: General Relativity

September 5, 2016
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2 Comments
 Combining electromagnetism with relativity and quantum mechanics led to QED. Last time we saw the immense struggles with the continuum this…
https://www.physicsforums.com/insights/wp-content/uploads/2016/09/spacetime7.png 135 240 John Baez https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png John Baez2016-09-05 13:49:292024-09-30 14:40:45Struggles with the Continuum: General Relativity
virtualparticlesmyths

Top Misconceptions about Virtual Particles

April 6, 2016
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1 Comment
Introduction This Insight Article is a sequel to the Insight Article ''The Physics of Virtual Particles'', which contains an exposition of definitions…
https://www.physicsforums.com/insights/wp-content/uploads/2016/04/virtualparticlesmyths.png 135 240 Arnold Neumaier https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Arnold Neumaier2016-04-06 13:44:302026-02-16 20:53:34Top Misconceptions about Virtual Particles
virtualparticles

Learn the Physics of Virtual Particles in Quantum Mechanics

March 28, 2016
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33 Comments
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…
https://www.physicsforums.com/insights/wp-content/uploads/2016/03/virtualparticles.png 135 240 Arnold Neumaier https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Arnold Neumaier2016-03-28 12:17:142026-02-16 20:56:15Learn the Physics of Virtual Particles in Quantum Mechanics
spacetime5

Struggles with the Continuum: Quantum Electrodynamics

February 1, 2016
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10 Comments
  Quantum field theory is the best method we have for describing particles and forces in a way that takes both quantum mechanics…
https://www.physicsforums.com/insights/wp-content/uploads/2016/01/spacetime5.png 135 240 John Baez https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png John Baez2016-02-01 16:41:532021-04-17 13:58:18Struggles with the Continuum: Quantum Electrodynamics
spacetime4

Struggles with the Continuum – Relativity and Quantum

January 25, 2016
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5 Comments
 In this series, we're looking at mathematical problems that arise in physics due to treating spacetime as a continuum---basically, problems…
https://www.physicsforums.com/insights/wp-content/uploads/2015/09/spacetime4.png 135 240 John Baez https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png John Baez2016-01-25 21:58:412024-05-20 06:40:33Struggles with the Continuum – Relativity and Quantum
perbation theory

Introduction to Causal Perturbation Theory

June 7, 2015
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30 Comments
Relativistic quantum field theory is notorious for the occurrence of divergent expressions that must be renormalized by recipes that on first sight sound…
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renormalization

Quantum Renormalisation Made Easy

May 9, 2015
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24 Comments
What Is The Issue With Renormalisation If you have an interest in physics you have likely come across renormalisation before, although what it really…
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