advanced_notions:symmetry_breaking:higgs_mechanism
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advanced_notions:symmetry_breaking:higgs_mechanism [2018/05/05 12:51] jakobadmin ↷ Links adapted because of a move operation |
advanced_notions:symmetry_breaking:higgs_mechanism [2018/12/17 13:56] (current) jakobadmin [Abstract] |
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| * Great descriptions can be found in [[https://arxiv.org/pdf/0910.5167v1.pdf|Gravity from a Particle Physicists’ perspective]] by Roberto Percacci and | * Great descriptions can be found in [[https://arxiv.org/pdf/0910.5167v1.pdf|Gravity from a Particle Physicists’ perspective]] by Roberto Percacci and | ||
| * in section 3.3. of [[http://pages.physics.cornell.edu/~ajd268/Notes/QFTIII.pdf|Solitons and Instantons]] by JEFF ASAF DROR | * in section 3.3. of [[http://pages.physics.cornell.edu/~ajd268/Notes/QFTIII.pdf|Solitons and Instantons]] by JEFF ASAF DROR | ||
| - | * Another great summary can be found in https://arxiv.org/pdf/1405.5532.pdf | + | * Another great summary can be found in https://arxiv.org/pdf/1405.5532.pdf |
| <tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||
| The Higgs mechanism is a crucial ingredient of the [[models:standard_model|standard model of particle physics]]. Without the Higgs mechanism, all particles are not allowed to have a mass, because such terms would violate the [[advanced_tools:gauge_symmetry|gauge symmetry]]. (Breaking of [[advanced_tools:gauge_symmetry|gauge symmetry]] is a bad thing, because the [[advanced_tools:renormalization|renormalizability]], i.e. the removing of the infinities that pop-up in most [[theories:quantum_field_theory:canonical|quantum field theory]] calculations, depends on the existence of gauge symmetry.) | The Higgs mechanism is a crucial ingredient of the [[models:standard_model|standard model of particle physics]]. Without the Higgs mechanism, all particles are not allowed to have a mass, because such terms would violate the [[advanced_tools:gauge_symmetry|gauge symmetry]]. (Breaking of [[advanced_tools:gauge_symmetry|gauge symmetry]] is a bad thing, because the [[advanced_tools:renormalization|renormalizability]], i.e. the removing of the infinities that pop-up in most [[theories:quantum_field_theory:canonical|quantum field theory]] calculations, depends on the existence of gauge symmetry.) | ||
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| It is well known that breaking of a local gauge symmetry is impossible (see the quotes below.) | It is well known that breaking of a local gauge symmetry is impossible (see the quotes below.) | ||
| - | However, there is symmetry breaking when the Higgs field acquires a non-zero vev. It is a global part of the gauge group that gets broken. However, there are no [[advanced_notions:symmetry_breaking:goldstones_theorem|Goldstone bosons]], because these correspond to the gauge degrees of freedom and become the longitudinal polarizations of the gauge bosons that become massive. | + | However, there is symmetry breaking when the Higgs field acquires a non-zero vev. It is a global part of the gauge group that gets broken. However, there are no [[theorems:goldstones_theorem|Goldstone bosons]], because these correspond to the gauge degrees of freedom and become the longitudinal polarizations of the gauge bosons that become massive. |
| This is discussed nicely in "Quantum Field Theory - A Modern Perspective" by V. P. Nair at page 268: | This is discussed nicely in "Quantum Field Theory - A Modern Perspective" by V. P. Nair at page 268: | ||
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