Understanding Energy in Quantum Fields and Particles

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The chapter explores the concept of energy in quantum fields and particles, distinguishing between potential energy for particles and fields. It highlights the role of Fourier transforms in simplifying the representation of kinetic, potential, and gradient energies within the field. The discussion progresses to relate energy levels to vibrations of modes in quantum fields and explains the relationship between mass and energy in particle physics.

Publication week! Say hello to Quanta and Fields, the second volume of the planned three-volume series The Biggest Ideas in the Universe. This volume covers quantum physics generally, but focuses especially on the wonders of quantum field theory. To celebrate, this solo podcast talks about some of the big ideas that make QFT so compelling: how quantized fields produce particles, how gauge symmetries lead to forces of nature, and how those forces can manifest in different phases, including Higgs and confinement.

Blog post with transcript: https://www.preposterousuniverse.com/podcast/2024/05/13/275-solo-quantum-fields-particles-forces-and-symmetries/

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